GCF of 9277/682, 7414/173
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9277/682, 7414/173 i.e 1/117986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9277/682, 7414/173.
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 9277/682,7414/173?
Given fractions are 9277/682,7414/173
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 9277/682,7414/173, numerators are 9277,7414
Denominators are 682,173
The GCF of 9277,7414 is 1 .
LCM of 682,173 is 117986.
The greatest common factor of 9277/682,7414/173 = [GCF of 9277,7414]/[LCM of 682,173]= 1/117986
Therefore, the GCF of 9277/682,7414/173 is 1/117986.
To find the highest common factor of 9277,7414, we have to find the factors of both numbers and list the highest common factor.
The factors of 9277 are 1, 9277
The factors of 7414 are 1, 2, 11, 22, 337, 674, 3707, 7414
The HCF of 9277,7414 is 1.
Lets's calculate GCF of 9277,7414
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9277,7414 By Matching Biggest Common Factor Method
Now, list down the factors of 9277
:1,9277
Now, list down the factors of 7414
:1,2,11,22,337,674,3707,7414
Greatest Common Factor
We found the factors 9277,7414 . The biggest common factor number is the GCF number.
So the greatest common factor 9277,7414 is 1.
Lets's calculate LCM of 682,173
Given numbers has no common factors except 1. So, there LCM is their product i.e 117986
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117986
Therefore, the GCF of Fractions 9277/682,7414/173 is 1/117986
Least Common Multiple of 682,173 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 682,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(682,173) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(682,173) x common factors =1 x 1 = 1
LCM(682,173) = ( 682 × 173 ) / 1
LCM(682,173) = 117986 / 1
LCM(682,173) = 117986
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FAQs on GCF of Fractions of 9277/682, 7414/173
1. What is the HCF of 9277,7414?
The HCF of 9277,7414 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 9277/682, 7414/173?
Answer: GCF of Numerators as per given numbers 9277/682, 7414/173 is
GCF of Numerators i.e. for 9277,7414 is 1
LCM of denominators i.e. for 682,173 is 117986.
Thus, GCF of Fractions is 1/117986.Finally, GCF of Fractions for 9277/682, 7414/173 is 1/117986.