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The GCF is 735.
To find the highest common factor (HCF) of 735 and 945, we first need to factorize both numbers. The prime factors of 735 are 3 x 5 x 7 x 7, and the prime factors of 945 are 3 x 3 x 3 x 5 x 7. To find the HCF, we identify the common prime factors and multiply them together: 3 x 5 x 7 = 105. Therefore, the highest common factor of 735 and 945 is 105.
The lowest common denominator (or multiple) for 735 and 1125 is 55125. All other common denominators for 735 and 1125 are multiples of 55125, namely 110250, 165375, 220500, etc.
735
There is really so such thing as a "greatest common multiple." Once you find the least common multiple of a set of numbers, you can keep adding the LCM to itself over and over again. Each new number you get will be a common multiple of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatest multiple.The first few common multiples of 21 and 49 are: 147, 294, 441, 588, and 735.