GCF of 5056/954, 2736/9866
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5056/954, 2736/9866 i.e 16/4706082 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5056/954, 2736/9866.
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 5056/954,2736/9866?
Given fractions are 5056/954,2736/9866
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 5056/954,2736/9866, numerators are 5056,2736
Denominators are 954,9866
The GCF of 5056,2736 is 16 .
LCM of 954,9866 is 4706082.
The greatest common factor of 5056/954,2736/9866 = [GCF of 5056,2736]/[LCM of 954,9866]= 16/4706082
Therefore, the GCF of 5056/954,2736/9866 is 16/4706082.
To find the highest common factor of 5056,2736, we have to find the factors of both numbers and list the highest common factor.
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
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 5056,2736 is 16.
Lets's calculate GCF of 5056,2736
| 2 | 5056, 2736 |
| 2 | 2528, 1368 |
| 2 | 1264, 684 |
| 2 | 632, 342 |
| 316, 171 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 5056,2736 By Matching Biggest Common Factor Method
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
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 5056,2736 . The biggest common factor number is the GCF number.
So the greatest common factor 5056,2736 is 16.
Lets's calculate LCM of 954,9866
| 2 | 954, 9866 |
| 477, 4933 |
∴ So the LCM of the given numbers is 2 x 477 x 4933 = 4706082
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/4706082
Therefore, the GCF of Fractions 5056/954,2736/9866 is 16/4706082
Least Common Multiple of 954,9866 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 954,9866 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(954,9866) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(954,9866) x common factors =2 x 1 = 2
LCM(954,9866) = ( 954 × 9866 ) / 2
LCM(954,9866) = 9412164 / 2
LCM(954,9866) = 4706082
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FAQs on GCF of Fractions of 5056/954, 2736/9866
1. What is the HCF of 5056,2736?
The HCF of 5056,2736 is 16
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 5056/954, 2736/9866?
Answer: GCF of Numerators as per given numbers 5056/954, 2736/9866 is
GCF of Numerators i.e. for 5056,2736 is 16
LCM of denominators i.e. for 954,9866 is 4706082.
Thus, GCF of Fractions is 16/4706082.Finally, GCF of Fractions for 5056/954, 2736/9866 is 16/4706082.