GCF of 7961/724, 5709/8561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7961/724, 5709/8561 i.e 1/6198164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7961/724, 5709/8561.
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 7961/724,5709/8561?
Given fractions are 7961/724,5709/8561
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 7961/724,5709/8561, numerators are 7961,5709
Denominators are 724,8561
The GCF of 7961,5709 is 1 .
LCM of 724,8561 is 6198164.
The greatest common factor of 7961/724,5709/8561 = [GCF of 7961,5709]/[LCM of 724,8561]= 1/6198164
Therefore, the GCF of 7961/724,5709/8561 is 1/6198164.
To find the highest common factor of 7961,5709, we have to find the factors of both numbers and list the highest common factor.
The factors of 7961 are 1, 19, 419, 7961
The factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709
The HCF of 7961,5709 is 1.
Lets's calculate GCF of 7961,5709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7961,5709 By Matching Biggest Common Factor Method
Now, list down the factors of 7961
:1,19,419,7961
Now, list down the factors of 5709
:1,3,11,33,173,519,1903,5709
Greatest Common Factor
We found the factors 7961,5709 . The biggest common factor number is the GCF number.
So the greatest common factor 7961,5709 is 1.
Lets's calculate LCM of 724,8561
Given numbers has no common factors except 1. So, there LCM is their product i.e 6198164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6198164
Therefore, the GCF of Fractions 7961/724,5709/8561 is 1/6198164
Least Common Multiple of 724,8561 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 724,8561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,8561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,8561) x common factors =1 x 1 = 1
LCM(724,8561) = ( 724 × 8561 ) / 1
LCM(724,8561) = 6198164 / 1
LCM(724,8561) = 6198164
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7961/724, 5709/8561
1. What is the HCF of 7961,5709?
The HCF of 7961,5709 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 7961/724, 5709/8561?
Answer: GCF of Numerators as per given numbers 7961/724, 5709/8561 is
GCF of Numerators i.e. for 7961,5709 is 1
LCM of denominators i.e. for 724,8561 is 6198164.
Thus, GCF of Fractions is 1/6198164.Finally, GCF of Fractions for 7961/724, 5709/8561 is 1/6198164.