GCF of 2921/601, 2528/9164
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2921/601, 2528/9164 i.e 1/5507564 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2921/601, 2528/9164.
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 2921/601,2528/9164?
Given fractions are 2921/601,2528/9164
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 2921/601,2528/9164, numerators are 2921,2528
Denominators are 601,9164
The GCF of 2921,2528 is 1 .
LCM of 601,9164 is 5507564.
The greatest common factor of 2921/601,2528/9164 = [GCF of 2921,2528]/[LCM of 601,9164]= 1/5507564
Therefore, the GCF of 2921/601,2528/9164 is 1/5507564.
To find the highest common factor of 2921,2528, we have to find the factors of both numbers and list the highest common factor.
The factors of 2921 are 1, 23, 127, 2921
The factors of 2528 are 1, 2, 4, 8, 16, 32, 79, 158, 316, 632, 1264, 2528
The HCF of 2921,2528 is 1.
Lets's calculate GCF of 2921,2528
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2921,2528 By Matching Biggest Common Factor Method
Now, list down the factors of 2921
:1,23,127,2921
Now, list down the factors of 2528
:1,2,4,8,16,32,79,158,316,632,1264,2528
Greatest Common Factor
We found the factors 2921,2528 . The biggest common factor number is the GCF number.
So the greatest common factor 2921,2528 is 1.
Lets's calculate LCM of 601,9164
Given numbers has no common factors except 1. So, there LCM is their product i.e 5507564
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5507564
Therefore, the GCF of Fractions 2921/601,2528/9164 is 1/5507564
Least Common Multiple of 601,9164 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 601,9164 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,9164) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,9164) x common factors =1 x 1 = 1
LCM(601,9164) = ( 601 × 9164 ) / 1
LCM(601,9164) = 5507564 / 1
LCM(601,9164) = 5507564
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FAQs on GCF of Fractions of 2921/601, 2528/9164
1. What is the HCF of 2921,2528?
The HCF of 2921,2528 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 2921/601, 2528/9164?
Answer: GCF of Numerators as per given numbers 2921/601, 2528/9164 is
GCF of Numerators i.e. for 2921,2528 is 1
LCM of denominators i.e. for 601,9164 is 5507564.
Thus, GCF of Fractions is 1/5507564.Finally, GCF of Fractions for 2921/601, 2528/9164 is 1/5507564.