GCF of 9121/521, 2172/5277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9121/521, 2172/5277 i.e 1/2749317 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9121/521, 2172/5277.
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 9121/521,2172/5277?
Given fractions are 9121/521,2172/5277
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 9121/521,2172/5277, numerators are 9121,2172
Denominators are 521,5277
The GCF of 9121,2172 is 1 .
LCM of 521,5277 is 2749317.
The greatest common factor of 9121/521,2172/5277 = [GCF of 9121,2172]/[LCM of 521,5277]= 1/2749317
Therefore, the GCF of 9121/521,2172/5277 is 1/2749317.
To find the highest common factor of 9121,2172, we have to find the factors of both numbers and list the highest common factor.
The factors of 9121 are 1, 7, 1303, 9121
The factors of 2172 are 1, 2, 3, 4, 6, 12, 181, 362, 543, 724, 1086, 2172
The HCF of 9121,2172 is 1.
Lets's calculate GCF of 9121,2172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9121,2172 By Matching Biggest Common Factor Method
Now, list down the factors of 9121
:1,7,1303,9121
Now, list down the factors of 2172
:1,2,3,4,6,12,181,362,543,724,1086,2172
Greatest Common Factor
We found the factors 9121,2172 . The biggest common factor number is the GCF number.
So the greatest common factor 9121,2172 is 1.
Lets's calculate LCM of 521,5277
Given numbers has no common factors except 1. So, there LCM is their product i.e 2749317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2749317
Therefore, the GCF of Fractions 9121/521,2172/5277 is 1/2749317
Least Common Multiple of 521,5277 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 521,5277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,5277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,5277) x common factors =1 x 1 = 1
LCM(521,5277) = ( 521 × 5277 ) / 1
LCM(521,5277) = 2749317 / 1
LCM(521,5277) = 2749317
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FAQs on GCF of Fractions of 9121/521, 2172/5277
1. What is the HCF of 9121,2172?
The HCF of 9121,2172 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 9121/521, 2172/5277?
Answer: GCF of Numerators as per given numbers 9121/521, 2172/5277 is
GCF of Numerators i.e. for 9121,2172 is 1
LCM of denominators i.e. for 521,5277 is 2749317.
Thus, GCF of Fractions is 1/2749317.Finally, GCF of Fractions for 9121/521, 2172/5277 is 1/2749317.