GCF of 9961/766, 8972/9362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9961/766, 8972/9362 i.e 1/3585646 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9961/766, 8972/9362.
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 9961/766,8972/9362?
Given fractions are 9961/766,8972/9362
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 9961/766,8972/9362, numerators are 9961,8972
Denominators are 766,9362
The GCF of 9961,8972 is 1 .
LCM of 766,9362 is 3585646.
The greatest common factor of 9961/766,8972/9362 = [GCF of 9961,8972]/[LCM of 766,9362]= 1/3585646
Therefore, the GCF of 9961/766,8972/9362 is 1/3585646.
To find the highest common factor of 9961,8972, we have to find the factors of both numbers and list the highest common factor.
The factors of 9961 are 1, 7, 1423, 9961
The factors of 8972 are 1, 2, 4, 2243, 4486, 8972
The HCF of 9961,8972 is 1.
Lets's calculate GCF of 9961,8972
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9961,8972 By Matching Biggest Common Factor Method
Now, list down the factors of 9961
:1,7,1423,9961
Now, list down the factors of 8972
:1,2,4,2243,4486,8972
Greatest Common Factor
We found the factors 9961,8972 . The biggest common factor number is the GCF number.
So the greatest common factor 9961,8972 is 1.
Lets's calculate LCM of 766,9362
| 2 | 766, 9362 |
| 383, 4681 |
∴ So the LCM of the given numbers is 2 x 383 x 4681 = 3585646
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3585646
Therefore, the GCF of Fractions 9961/766,8972/9362 is 1/3585646
Least Common Multiple of 766,9362 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 766,9362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,9362) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,9362) x common factors =2 x 1 = 2
LCM(766,9362) = ( 766 × 9362 ) / 2
LCM(766,9362) = 7171292 / 2
LCM(766,9362) = 3585646
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FAQs on GCF of Fractions of 9961/766, 8972/9362
1. What is the HCF of 9961,8972?
The HCF of 9961,8972 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 9961/766, 8972/9362?
Answer: GCF of Numerators as per given numbers 9961/766, 8972/9362 is
GCF of Numerators i.e. for 9961,8972 is 1
LCM of denominators i.e. for 766,9362 is 3585646.
Thus, GCF of Fractions is 1/3585646.Finally, GCF of Fractions for 9961/766, 8972/9362 is 1/3585646.