GCF of 967/121, 8718/5652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 967/121, 8718/5652 i.e 1/683892 easily. The following is the detailed procedure to determine the greatest common factor of fractions 967/121, 8718/5652.
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 967/121,8718/5652?
Given fractions are 967/121,8718/5652
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 967/121,8718/5652, numerators are 967,8718
Denominators are 121,5652
The GCF of 967,8718 is 1 .
LCM of 121,5652 is 683892.
The greatest common factor of 967/121,8718/5652 = [GCF of 967,8718]/[LCM of 121,5652]= 1/683892
Therefore, the GCF of 967/121,8718/5652 is 1/683892.
To find the highest common factor of 967,8718, we have to find the factors of both numbers and list the highest common factor.
The factors of 967 are 1, 967
The factors of 8718 are 1, 2, 3, 6, 1453, 2906, 4359, 8718
The HCF of 967,8718 is 1.
Lets's calculate GCF of 967,8718
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 967,8718 By Matching Biggest Common Factor Method
Now, list down the factors of 967
:1,967
Now, list down the factors of 8718
:1,2,3,6,1453,2906,4359,8718
Greatest Common Factor
We found the factors 967,8718 . The biggest common factor number is the GCF number.
So the greatest common factor 967,8718 is 1.
Lets's calculate LCM of 121,5652
Given numbers has no common factors except 1. So, there LCM is their product i.e 683892
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/683892
Therefore, the GCF of Fractions 967/121,8718/5652 is 1/683892
Least Common Multiple of 121,5652 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 121,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(121,5652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(121,5652) x common factors =1 x 1 = 1
LCM(121,5652) = ( 121 × 5652 ) / 1
LCM(121,5652) = 683892 / 1
LCM(121,5652) = 683892
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FAQs on GCF of Fractions of 967/121, 8718/5652
1. What is the HCF of 967,8718?
The HCF of 967,8718 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 967/121, 8718/5652?
Answer: GCF of Numerators as per given numbers 967/121, 8718/5652 is
GCF of Numerators i.e. for 967,8718 is 1
LCM of denominators i.e. for 121,5652 is 683892.
Thus, GCF of Fractions is 1/683892.Finally, GCF of Fractions for 967/121, 8718/5652 is 1/683892.