GCF of 5424/252, 7391/314
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5424/252, 7391/314 i.e 1/39564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5424/252, 7391/314.
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 5424/252,7391/314?
Given fractions are 5424/252,7391/314
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 5424/252,7391/314, numerators are 5424,7391
Denominators are 252,314
The GCF of 5424,7391 is 1 .
LCM of 252,314 is 39564.
The greatest common factor of 5424/252,7391/314 = [GCF of 5424,7391]/[LCM of 252,314]= 1/39564
Therefore, the GCF of 5424/252,7391/314 is 1/39564.
To find the highest common factor of 5424,7391, we have to find the factors of both numbers and list the highest common factor.
The factors of 5424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712, 5424
The factors of 7391 are 1, 19, 389, 7391
The HCF of 5424,7391 is 1.
Lets's calculate GCF of 5424,7391
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5424,7391 By Matching Biggest Common Factor Method
Now, list down the factors of 5424
:1,2,3,4,6,8,12,16,24,48,113,226,339,452,678,904,1356,1808,2712,5424
Now, list down the factors of 7391
:1,19,389,7391
Greatest Common Factor
We found the factors 5424,7391 . The biggest common factor number is the GCF number.
So the greatest common factor 5424,7391 is 1.
Lets's calculate LCM of 252,314
| 2 | 252, 314 |
| 126, 157 |
∴ So the LCM of the given numbers is 2 x 126 x 157 = 39564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39564
Therefore, the GCF of Fractions 5424/252,7391/314 is 1/39564
Least Common Multiple of 252,314 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 252,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,314) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(252,314) x common factors =2 x 1 = 2
LCM(252,314) = ( 252 × 314 ) / 2
LCM(252,314) = 79128 / 2
LCM(252,314) = 39564
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FAQs on GCF of Fractions of 5424/252, 7391/314
1. What is the HCF of 5424,7391?
The HCF of 5424,7391 is 1
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 5424/252, 7391/314?
Answer: GCF of Numerators as per given numbers 5424/252, 7391/314 is
GCF of Numerators i.e. for 5424,7391 is 1
LCM of denominators i.e. for 252,314 is 39564.
Thus, GCF of Fractions is 1/39564.Finally, GCF of Fractions for 5424/252, 7391/314 is 1/39564.