GCF of 963/656, 9062/337
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 963/656, 9062/337 i.e 1/221072 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/656, 9062/337.
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 963/656,9062/337?
Given fractions are 963/656,9062/337
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 963/656,9062/337, numerators are 963,9062
Denominators are 656,337
The GCF of 963,9062 is 1 .
LCM of 656,337 is 221072.
The greatest common factor of 963/656,9062/337 = [GCF of 963,9062]/[LCM of 656,337]= 1/221072
Therefore, the GCF of 963/656,9062/337 is 1/221072.
To find the highest common factor of 963,9062, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062
The HCF of 963,9062 is 1.
Lets's calculate GCF of 963,9062
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 963,9062 By Matching Biggest Common Factor Method
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 9062
:1,2,23,46,197,394,4531,9062
Greatest Common Factor
We found the factors 963,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 963,9062 is 1.
Lets's calculate LCM of 656,337
Given numbers has no common factors except 1. So, there LCM is their product i.e 221072
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221072
Therefore, the GCF of Fractions 963/656,9062/337 is 1/221072
Least Common Multiple of 656,337 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 656,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(656,337) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(656,337) x common factors =1 x 1 = 1
LCM(656,337) = ( 656 × 337 ) / 1
LCM(656,337) = 221072 / 1
LCM(656,337) = 221072
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FAQs on GCF of Fractions of 963/656, 9062/337
1. What is the HCF of 963,9062?
The HCF of 963,9062 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 963/656, 9062/337?
Answer: GCF of Numerators as per given numbers 963/656, 9062/337 is
GCF of Numerators i.e. for 963,9062 is 1
LCM of denominators i.e. for 656,337 is 221072.
Thus, GCF of Fractions is 1/221072.Finally, GCF of Fractions for 963/656, 9062/337 is 1/221072.