GCF of 7716/355, 2736/344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7716/355, 2736/344 i.e 12/122120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7716/355, 2736/344.
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 7716/355,2736/344?
Given fractions are 7716/355,2736/344
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 7716/355,2736/344, numerators are 7716,2736
Denominators are 355,344
The GCF of 7716,2736 is 12 .
LCM of 355,344 is 122120.
The greatest common factor of 7716/355,2736/344 = [GCF of 7716,2736]/[LCM of 355,344]= 12/122120
Therefore, the GCF of 7716/355,2736/344 is 12/122120.
To find the highest common factor of 7716,2736, we have to find the factors of both numbers and list the highest common factor.
The factors of 7716 are 1, 2, 3, 4, 6, 12, 643, 1286, 1929, 2572, 3858, 7716
The factors of 2736 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 19, 24, 36, 38, 48, 57, 72, 76, 114, 144, 152, 171, 228, 304, 342, 456, 684, 912, 1368, 2736
The HCF of 7716,2736 is 12.
Lets's calculate GCF of 7716,2736
| 2 | 7716, 2736 |
| 2 | 3858, 1368 |
| 3 | 1929, 684 |
| 643, 228 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7716,2736 By Matching Biggest Common Factor Method
Now, list down the factors of 7716
:1,2,3,4,6,12,643,1286,1929,2572,3858,7716
Now, list down the factors of 2736
:1,2,3,4,6,8,9,12,16,18,19,24,36,38,48,57,72,76,114,144,152,171,228,304,342,456,684,912,1368,2736
Greatest Common Factor
We found the factors 7716,2736 . The biggest common factor number is the GCF number.
So the greatest common factor 7716,2736 is 12.
Lets's calculate LCM of 355,344
Given numbers has no common factors except 1. So, there LCM is their product i.e 122120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/122120
Therefore, the GCF of Fractions 7716/355,2736/344 is 12/122120
Least Common Multiple of 355,344 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 355,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(355,344) x common factors =1 x 1 = 1
LCM(355,344) = ( 355 × 344 ) / 1
LCM(355,344) = 122120 / 1
LCM(355,344) = 122120
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FAQs on GCF of Fractions of 7716/355, 2736/344
1. What is the HCF of 7716,2736?
The HCF of 7716,2736 is 12
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 7716/355, 2736/344?
Answer: GCF of Numerators as per given numbers 7716/355, 2736/344 is
GCF of Numerators i.e. for 7716,2736 is 12
LCM of denominators i.e. for 355,344 is 122120.
Thus, GCF of Fractions is 12/122120.Finally, GCF of Fractions for 7716/355, 2736/344 is 12/122120.