GCF of 792/714, 3696/270
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 792/714, 3696/270 i.e 264/32130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/714, 3696/270.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 792/714,3696/270?
Given fractions are 792/714,3696/270
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 792/714,3696/270, numerators are 792,3696
Denominators are 714,270
The GCF of 792,3696 is 264 .
LCM of 714,270 is 32130.
The greatest common factor of 792/714,3696/270 = [GCF of 792,3696]/[LCM of 714,270]= 264/32130
Therefore, the GCF of 792/714,3696/270 is 264/32130.
To find the highest common factor of 792,3696, we have to find the factors of both numbers and list the highest common factor.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The factors of 3696 are 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 16, 21, 22, 24, 28, 33, 42, 44, 48, 56, 66, 77, 84, 88, 112, 132, 154, 168, 176, 231, 264, 308, 336, 462, 528, 616, 924, 1232, 1848, 3696
The HCF of 792,3696 is 264.
Lets's calculate GCF of 792,3696
| 2 | 792, 3696 |
| 2 | 396, 1848 |
| 2 | 198, 924 |
| 3 | 99, 462 |
| 11 | 33, 154 |
| 3, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 11 = 264
Greatest Common Factor of 792,3696 By Matching Biggest Common Factor Method
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Now, list down the factors of 3696
:1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696
Greatest Common Factor
We found the factors 792,3696 . The biggest common factor number is the GCF number.
So the greatest common factor 792,3696 is 264.
Lets's calculate LCM of 714,270
| 2 | 714, 270 |
| 3 | 357, 135 |
| 119, 45 |
∴ So the LCM of the given numbers is 2 x 3 x 119 x 45 = 32130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 264/32130
Therefore, the GCF of Fractions 792/714,3696/270 is 264/32130
Least Common Multiple of 714,270 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 714,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,270) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(714,270) x common factors =6 x 1 = 6
LCM(714,270) = ( 714 × 270 ) / 6
LCM(714,270) = 192780 / 6
LCM(714,270) = 32130
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FAQs on GCF of Fractions of 792/714, 3696/270
1. What is the HCF of 792,3696?
The HCF of 792,3696 is 264
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 792/714, 3696/270?
Answer: GCF of Numerators as per given numbers 792/714, 3696/270 is
GCF of Numerators i.e. for 792,3696 is 264
LCM of denominators i.e. for 714,270 is 32130.
Thus, GCF of Fractions is 264/32130.Finally, GCF of Fractions for 792/714, 3696/270 is 264/32130.