GCF of 7685/315, 7997/961
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7685/315, 7997/961 i.e 1/302715 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7685/315, 7997/961.
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 7685/315,7997/961?
Given fractions are 7685/315,7997/961
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 7685/315,7997/961, numerators are 7685,7997
Denominators are 315,961
The GCF of 7685,7997 is 1 .
LCM of 315,961 is 302715.
The greatest common factor of 7685/315,7997/961 = [GCF of 7685,7997]/[LCM of 315,961]= 1/302715
Therefore, the GCF of 7685/315,7997/961 is 1/302715.
To find the highest common factor of 7685,7997, we have to find the factors of both numbers and list the highest common factor.
The factors of 7685 are 1, 5, 29, 53, 145, 265, 1537, 7685
The factors of 7997 are 1, 11, 727, 7997
The HCF of 7685,7997 is 1.
Lets's calculate GCF of 7685,7997
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7685,7997 By Matching Biggest Common Factor Method
Now, list down the factors of 7685
:1,5,29,53,145,265,1537,7685
Now, list down the factors of 7997
:1,11,727,7997
Greatest Common Factor
We found the factors 7685,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 7685,7997 is 1.
Lets's calculate LCM of 315,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 302715
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302715
Therefore, the GCF of Fractions 7685/315,7997/961 is 1/302715
Least Common Multiple of 315,961 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 315,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,961) x common factors =1 x 1 = 1
LCM(315,961) = ( 315 × 961 ) / 1
LCM(315,961) = 302715 / 1
LCM(315,961) = 302715
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FAQs on GCF of Fractions of 7685/315, 7997/961
1. What is the HCF of 7685,7997?
The HCF of 7685,7997 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 7685/315, 7997/961?
Answer: GCF of Numerators as per given numbers 7685/315, 7997/961 is
GCF of Numerators i.e. for 7685,7997 is 1
LCM of denominators i.e. for 315,961 is 302715.
Thus, GCF of Fractions is 1/302715.Finally, GCF of Fractions for 7685/315, 7997/961 is 1/302715.