GCF of 5714/124, 9752/8178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5714/124, 9752/8178 i.e 2/507036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5714/124, 9752/8178.
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 5714/124,9752/8178?
Given fractions are 5714/124,9752/8178
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 5714/124,9752/8178, numerators are 5714,9752
Denominators are 124,8178
The GCF of 5714,9752 is 2 .
LCM of 124,8178 is 507036.
The greatest common factor of 5714/124,9752/8178 = [GCF of 5714,9752]/[LCM of 124,8178]= 2/507036
Therefore, the GCF of 5714/124,9752/8178 is 2/507036.
To find the highest common factor of 5714,9752, we have to find the factors of both numbers and list the highest common factor.
The factors of 5714 are 1, 2, 2857, 5714
The factors of 9752 are 1, 2, 4, 8, 23, 46, 53, 92, 106, 184, 212, 424, 1219, 2438, 4876, 9752
The HCF of 5714,9752 is 2.
Lets's calculate GCF of 5714,9752
| 2 | 5714, 9752 |
| 2857, 4876 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5714,9752 By Matching Biggest Common Factor Method
Now, list down the factors of 5714
:1,2,2857,5714
Now, list down the factors of 9752
:1,2,4,8,23,46,53,92,106,184,212,424,1219,2438,4876,9752
Greatest Common Factor
We found the factors 5714,9752 . The biggest common factor number is the GCF number.
So the greatest common factor 5714,9752 is 2.
Lets's calculate LCM of 124,8178
| 2 | 124, 8178 |
| 62, 4089 |
∴ So the LCM of the given numbers is 2 x 62 x 4089 = 507036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/507036
Therefore, the GCF of Fractions 5714/124,9752/8178 is 2/507036
Least Common Multiple of 124,8178 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 124,8178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,8178) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(124,8178) x common factors =2 x 1 = 2
LCM(124,8178) = ( 124 × 8178 ) / 2
LCM(124,8178) = 1014072 / 2
LCM(124,8178) = 507036
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FAQs on GCF of Fractions of 5714/124, 9752/8178
1. What is the HCF of 5714,9752?
The HCF of 5714,9752 is 2
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 5714/124, 9752/8178?
Answer: GCF of Numerators as per given numbers 5714/124, 9752/8178 is
GCF of Numerators i.e. for 5714,9752 is 2
LCM of denominators i.e. for 124,8178 is 507036.
Thus, GCF of Fractions is 2/507036.Finally, GCF of Fractions for 5714/124, 9752/8178 is 2/507036.