The greatest common factor of 40 and 63 is 1.
Division Ladders are useful for finding Greatest Common Factors, also known as Greatest Common Divisors. If your math problem is to find the GCF of 32, 24 and 40 using a Division Ladder, you would find the answer thusly: 2 |32, 24, 40 , |_________ 2 |16, 12, 20 , |________ 2 | 8, 6, 10 , |________ , 4, 3, 5 You would be dividing by 2 in this case, then multiply your divisors, 2 x 2 x 2 = 8. Your Greatest Common Factor for 32, 24 and 40 is 8. I used the commas for placeholders, as without them, the vertical lines don't line up.
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the greatest common factor is to find all the factors of the numbers and compare them. The factors of 160 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, and 160. The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, and 256. The common factors are 1, 2, 4, 8, 16, and 32. Therefore, the greatest common factor is 32.
A factor is a divisor - a number that will evenly divide into another number. The greatest common factor of two or more numbers is the largest factor that both numbers have in common. One way to determine the common factors and greatest common factor is to find all the factors of the numbers and compare them. The factors of 32 are 1, 2, 4, 8, 16, and 32. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, and 80. The common factors are 1, 2, 4, and 8. Therefore, the greatest common factor is 8.
Convert the fractions to equivalent fractions all with the same denominatorFind a common denominator; ideally this should be the Lowest Common Denominator (LCD) but if you cannot find this, just multiplying all the denominators together will work.Divide the common denominator by the denominator of each fraction (this will be a whole number) and multiply the numerator of the fraction by this result.Add the numeratorsSimplify the result.Example: 2/5 + 3/8 + 1/2LCD of 5, 8, 2 is 40 so:40 ÷ 5 = 8 → 2/5 = 2x8/5x8 = 16/4040 ÷ 8 = 5 → 3/8 = 3x5/8x5 = 15/4040 ÷ 2 = 20 → 1/2 = 1x20/2x20 = 20/40→ 2/5 + 3/8 + 1/2 = 16/40 + 15/40 + 20/40= 16+15+20/40= 51/40= 111/40By multiplying the denominators together this gives 5 x 8 x 2 = 80, so:80 ÷ 5 = 16 → 2/5 = 2x16/5x16 = 32/8080 ÷ 8 = 10 → 3/8 = 3x10/8x10 = 30/8080 ÷ 2 = 40 → 1/2 = 1x40/2x40 = 40/80→ 2/5 + 3/8 + 1/2 = 32/80 + 30/80 + 40/80= 32+30+40/80= 102/80= 51x2/40x2= 111/40Using the LCD keeps the numbers smaller.
The Greatest Common Divisor/Denominator is 8
The greatest common denominator is infinite.
The Greatest Common Factor of 24, 40, 32 is 8.
The Greatest Common Factor of 8, 32, 40: 8
160
The greatest common divisor of 32 and 40 is 8. 32/8= 4, and 40/8= 5.
5
The GFC of 32 and 40 is 8.
No
The Greatest Common Divisor/Denominator is 20
1
8