GCF of 7377/725, 4757/595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7377/725, 4757/595 i.e 1/86275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7377/725, 4757/595.
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 7377/725,4757/595?
Given fractions are 7377/725,4757/595
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 7377/725,4757/595, numerators are 7377,4757
Denominators are 725,595
The GCF of 7377,4757 is 1 .
LCM of 725,595 is 86275.
The greatest common factor of 7377/725,4757/595 = [GCF of 7377,4757]/[LCM of 725,595]= 1/86275
Therefore, the GCF of 7377/725,4757/595 is 1/86275.
To find the highest common factor of 7377,4757, we have to find the factors of both numbers and list the highest common factor.
The factors of 7377 are 1, 3, 2459, 7377
The factors of 4757 are 1, 67, 71, 4757
The HCF of 7377,4757 is 1.
Lets's calculate GCF of 7377,4757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7377,4757 By Matching Biggest Common Factor Method
Now, list down the factors of 7377
:1,3,2459,7377
Now, list down the factors of 4757
:1,67,71,4757
Greatest Common Factor
We found the factors 7377,4757 . The biggest common factor number is the GCF number.
So the greatest common factor 7377,4757 is 1.
Lets's calculate LCM of 725,595
| 5 | 725, 595 |
| 145, 119 |
∴ So the LCM of the given numbers is 5 x 145 x 119 = 86275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86275
Therefore, the GCF of Fractions 7377/725,4757/595 is 1/86275
Least Common Multiple of 725,595 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 725,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,595) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,595) x common factors =5 x 1 = 5
LCM(725,595) = ( 725 × 595 ) / 5
LCM(725,595) = 431375 / 5
LCM(725,595) = 86275
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FAQs on GCF of Fractions of 7377/725, 4757/595
1. What is the HCF of 7377,4757?
The HCF of 7377,4757 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 7377/725, 4757/595?
Answer: GCF of Numerators as per given numbers 7377/725, 4757/595 is
GCF of Numerators i.e. for 7377,4757 is 1
LCM of denominators i.e. for 725,595 is 86275.
Thus, GCF of Fractions is 1/86275.Finally, GCF of Fractions for 7377/725, 4757/595 is 1/86275.