GCF of 5286/988, 6357/5212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5286/988, 6357/5212 i.e 3/1287364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5286/988, 6357/5212.
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 5286/988,6357/5212?
Given fractions are 5286/988,6357/5212
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 5286/988,6357/5212, numerators are 5286,6357
Denominators are 988,5212
The GCF of 5286,6357 is 3 .
LCM of 988,5212 is 1287364.
The greatest common factor of 5286/988,6357/5212 = [GCF of 5286,6357]/[LCM of 988,5212]= 3/1287364
Therefore, the GCF of 5286/988,6357/5212 is 3/1287364.
To find the highest common factor of 5286,6357, we have to find the factors of both numbers and list the highest common factor.
The factors of 5286 are 1, 2, 3, 6, 881, 1762, 2643, 5286
The factors of 6357 are 1, 3, 13, 39, 163, 489, 2119, 6357
The HCF of 5286,6357 is 3.
Lets's calculate GCF of 5286,6357
| 3 | 5286, 6357 |
| 1762, 2119 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5286,6357 By Matching Biggest Common Factor Method
Now, list down the factors of 5286
:1,2,3,6,881,1762,2643,5286
Now, list down the factors of 6357
:1,3,13,39,163,489,2119,6357
Greatest Common Factor
We found the factors 5286,6357 . The biggest common factor number is the GCF number.
So the greatest common factor 5286,6357 is 3.
Lets's calculate LCM of 988,5212
| 2 | 988, 5212 |
| 2 | 494, 2606 |
| 247, 1303 |
∴ So the LCM of the given numbers is 2 x 2 x 247 x 1303 = 1287364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1287364
Therefore, the GCF of Fractions 5286/988,6357/5212 is 3/1287364
Least Common Multiple of 988,5212 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 988,5212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(988,5212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(988,5212) x common factors =4 x 1 = 4
LCM(988,5212) = ( 988 × 5212 ) / 4
LCM(988,5212) = 5149456 / 4
LCM(988,5212) = 1287364
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FAQs on GCF of Fractions of 5286/988, 6357/5212
1. What is the HCF of 5286,6357?
The HCF of 5286,6357 is 3
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 5286/988, 6357/5212?
Answer: GCF of Numerators as per given numbers 5286/988, 6357/5212 is
GCF of Numerators i.e. for 5286,6357 is 3
LCM of denominators i.e. for 988,5212 is 1287364.
Thus, GCF of Fractions is 3/1287364.Finally, GCF of Fractions for 5286/988, 6357/5212 is 3/1287364.