GCF of 5016/942, 6864/4722
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5016/942, 6864/4722 i.e 264/741354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5016/942, 6864/4722.
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 5016/942,6864/4722?
Given fractions are 5016/942,6864/4722
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 5016/942,6864/4722, numerators are 5016,6864
Denominators are 942,4722
The GCF of 5016,6864 is 264 .
LCM of 942,4722 is 741354.
The greatest common factor of 5016/942,6864/4722 = [GCF of 5016,6864]/[LCM of 942,4722]= 264/741354
Therefore, the GCF of 5016/942,6864/4722 is 264/741354.
To find the highest common factor of 5016,6864, we have to find the factors of both numbers and list the highest common factor.
The factors of 5016 are 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 132, 152, 209, 228, 264, 418, 456, 627, 836, 1254, 1672, 2508, 5016
The factors of 6864 are 1, 2, 3, 4, 6, 8, 11, 12, 13, 16, 22, 24, 26, 33, 39, 44, 48, 52, 66, 78, 88, 104, 132, 143, 156, 176, 208, 264, 286, 312, 429, 528, 572, 624, 858, 1144, 1716, 2288, 3432, 6864
The HCF of 5016,6864 is 264.
Lets's calculate GCF of 5016,6864
| 2 | 5016, 6864 |
| 2 | 2508, 3432 |
| 2 | 1254, 1716 |
| 3 | 627, 858 |
| 11 | 209, 286 |
| 19, 26 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 11 = 264
Greatest Common Factor of 5016,6864 By Matching Biggest Common Factor Method
Now, list down the factors of 5016
:1,2,3,4,6,8,11,12,19,22,24,33,38,44,57,66,76,88,114,132,152,209,228,264,418,456,627,836,1254,1672,2508,5016
Now, list down the factors of 6864
:1,2,3,4,6,8,11,12,13,16,22,24,26,33,39,44,48,52,66,78,88,104,132,143,156,176,208,264,286,312,429,528,572,624,858,1144,1716,2288,3432,6864
Greatest Common Factor
We found the factors 5016,6864 . The biggest common factor number is the GCF number.
So the greatest common factor 5016,6864 is 264.
Lets's calculate LCM of 942,4722
| 2 | 942, 4722 |
| 3 | 471, 2361 |
| 157, 787 |
∴ So the LCM of the given numbers is 2 x 3 x 157 x 787 = 741354
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 264/741354
Therefore, the GCF of Fractions 5016/942,6864/4722 is 264/741354
Least Common Multiple of 942,4722 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 942,4722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,4722) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(942,4722) x common factors =6 x 1 = 6
LCM(942,4722) = ( 942 × 4722 ) / 6
LCM(942,4722) = 4448124 / 6
LCM(942,4722) = 741354
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FAQs on GCF of Fractions of 5016/942, 6864/4722
1. What is the HCF of 5016,6864?
The HCF of 5016,6864 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 5016/942, 6864/4722?
Answer: GCF of Numerators as per given numbers 5016/942, 6864/4722 is
GCF of Numerators i.e. for 5016,6864 is 264
LCM of denominators i.e. for 942,4722 is 741354.
Thus, GCF of Fractions is 264/741354.Finally, GCF of Fractions for 5016/942, 6864/4722 is 264/741354.