Example: Find the GCF of 30 and 42.
Step 1: Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Step 2: Select the common factors.
2 x 3 = 6, the GCF
The first step in finding the greatest common factor is to break the numbers down into their prime factors: 663=3x13x17 1547=7x13x17 The next step is to identify any common factors. In this case, the common prime factors are 13 and 17. To find the greatest common factor we multiply these together: 13x17=221 So 221 is the GCF of 663 and 1547.
The first step in finding the lowest common denominator of two fractions is to multiply the two denominators. Then you see if there are any smaller numbers that are divisible by both denominators.
Step 1. Factor them.2 x 2 x 2 x 5 = 405 x 5 x 5 = 125Step 2. Select the common factor.The GCF is 5.
The first step to working out the greatest common factor of 4,000 and 1,800 is to break these numbers down into their prime factors: 4000 = 2x2x2x2x2x5x5x5 1800 = 2x2x2x3x3x5x5 The next step is to identify any common factors. In this case, there are common prime factors of three 2s and two 5s. Multiply these together and you get 2x2x2x5x5 = 200 Thus the greatest common factor of 4,000 and 1,800 is 200.
The first step would be to break the numbers down into their prime factors: 41 = 41 76 = 2x2x19 The next step would be to identify any common prime factors. In this case, there are none. Thus the greatest common factor of 41 and 76 is 1.
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Get the greatest common factor first. For example, you might use Euclid's Algorithm - the first step is that the greatest common factor of 5030 and 100 is the same as the greatest common factor of 100 and 30 (where 30 is the remainder of the division of 5030 / 100). Once you get the greatest common factor, the common factors of the two numbers are simply all the factors of this greatest common factor.
When adding or subtracting fractions with different denominators, the first step is to find a common denominator. This involves finding the least common multiple (LCM) of the two denominators. Once you have a common denominator, you can then add or subtract the numerators of the fractions accordingly.
If the first step is writing down the numbers, the second step is finding their prime factorizations.
Step 1 : Prime Factorise each number and write in index notation. Step 2 : Multiply the lowest power of each common factor of the given numbers
To find the greatest common factor of two numbers, you first need to factorise those numbers. In this case: 72=3x3x2x2x2 91=7x13 The next step would be to find any common factors. As there are none, this means that the greatest common factor of 72 and 91 is 1.
To find the greatest common factor of two numbers, you first need to break them into their prime factors: 15 = 3x5 40 = 2x2x2x5 The next step is to identify any common factors. In this case, the only common factor is 5. Thus, the greatest common divisor of the numbers 15 and 40 is 5.