GCF of 9712/827, 6563/877
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9712/827, 6563/877 i.e 1/725279 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9712/827, 6563/877.
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 9712/827,6563/877?
Given fractions are 9712/827,6563/877
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 9712/827,6563/877, numerators are 9712,6563
Denominators are 827,877
The GCF of 9712,6563 is 1 .
LCM of 827,877 is 725279.
The greatest common factor of 9712/827,6563/877 = [GCF of 9712,6563]/[LCM of 827,877]= 1/725279
Therefore, the GCF of 9712/827,6563/877 is 1/725279.
To find the highest common factor of 9712,6563, we have to find the factors of both numbers and list the highest common factor.
The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712
The factors of 6563 are 1, 6563
The HCF of 9712,6563 is 1.
Lets's calculate GCF of 9712,6563
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9712,6563 By Matching Biggest Common Factor Method
Now, list down the factors of 9712
:1,2,4,8,16,607,1214,2428,4856,9712
Now, list down the factors of 6563
:1,6563
Greatest Common Factor
We found the factors 9712,6563 . The biggest common factor number is the GCF number.
So the greatest common factor 9712,6563 is 1.
Lets's calculate LCM of 827,877
Given numbers has no common factors except 1. So, there LCM is their product i.e 725279
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/725279
Therefore, the GCF of Fractions 9712/827,6563/877 is 1/725279
Least Common Multiple of 827,877 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 827,877 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(827,877) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(827,877) x common factors =1 x 1 = 1
LCM(827,877) = ( 827 × 877 ) / 1
LCM(827,877) = 725279 / 1
LCM(827,877) = 725279
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FAQs on GCF of Fractions of 9712/827, 6563/877
1. What is the HCF of 9712,6563?
The HCF of 9712,6563 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 9712/827, 6563/877?
Answer: GCF of Numerators as per given numbers 9712/827, 6563/877 is
GCF of Numerators i.e. for 9712,6563 is 1
LCM of denominators i.e. for 827,877 is 725279.
Thus, GCF of Fractions is 1/725279.Finally, GCF of Fractions for 9712/827, 6563/877 is 1/725279.