GCF of 9977/725, 7954/665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9977/725, 7954/665 i.e 1/96425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9977/725, 7954/665.
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 9977/725,7954/665?
Given fractions are 9977/725,7954/665
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 9977/725,7954/665, numerators are 9977,7954
Denominators are 725,665
The GCF of 9977,7954 is 1 .
LCM of 725,665 is 96425.
The greatest common factor of 9977/725,7954/665 = [GCF of 9977,7954]/[LCM of 725,665]= 1/96425
Therefore, the GCF of 9977/725,7954/665 is 1/96425.
To find the highest common factor of 9977,7954, we have to find the factors of both numbers and list the highest common factor.
The factors of 9977 are 1, 11, 907, 9977
The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954
The HCF of 9977,7954 is 1.
Lets's calculate GCF of 9977,7954
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9977,7954 By Matching Biggest Common Factor Method
Now, list down the factors of 9977
:1,11,907,9977
Now, list down the factors of 7954
:1,2,41,82,97,194,3977,7954
Greatest Common Factor
We found the factors 9977,7954 . The biggest common factor number is the GCF number.
So the greatest common factor 9977,7954 is 1.
Lets's calculate LCM of 725,665
| 5 | 725, 665 |
| 145, 133 |
∴ So the LCM of the given numbers is 5 x 145 x 133 = 96425
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96425
Therefore, the GCF of Fractions 9977/725,7954/665 is 1/96425
Least Common Multiple of 725,665 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 725,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(725,665) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(725,665) x common factors =5 x 1 = 5
LCM(725,665) = ( 725 × 665 ) / 5
LCM(725,665) = 482125 / 5
LCM(725,665) = 96425
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FAQs on GCF of Fractions of 9977/725, 7954/665
1. What is the HCF of 9977,7954?
The HCF of 9977,7954 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 9977/725, 7954/665?
Answer: GCF of Numerators as per given numbers 9977/725, 7954/665 is
GCF of Numerators i.e. for 9977,7954 is 1
LCM of denominators i.e. for 725,665 is 96425.
Thus, GCF of Fractions is 1/96425.Finally, GCF of Fractions for 9977/725, 7954/665 is 1/96425.