GCF of 2611/971, 5084/618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2611/971, 5084/618 i.e 1/600078 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2611/971, 5084/618.
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 2611/971,5084/618?
Given fractions are 2611/971,5084/618
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 2611/971,5084/618, numerators are 2611,5084
Denominators are 971,618
The GCF of 2611,5084 is 1 .
LCM of 971,618 is 600078.
The greatest common factor of 2611/971,5084/618 = [GCF of 2611,5084]/[LCM of 971,618]= 1/600078
Therefore, the GCF of 2611/971,5084/618 is 1/600078.
To find the highest common factor of 2611,5084, we have to find the factors of both numbers and list the highest common factor.
The factors of 2611 are 1, 7, 373, 2611
The factors of 5084 are 1, 2, 4, 31, 41, 62, 82, 124, 164, 1271, 2542, 5084
The HCF of 2611,5084 is 1.
Lets's calculate GCF of 2611,5084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2611,5084 By Matching Biggest Common Factor Method
Now, list down the factors of 2611
:1,7,373,2611
Now, list down the factors of 5084
:1,2,4,31,41,62,82,124,164,1271,2542,5084
Greatest Common Factor
We found the factors 2611,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 2611,5084 is 1.
Lets's calculate LCM of 971,618
Given numbers has no common factors except 1. So, there LCM is their product i.e 600078
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/600078
Therefore, the GCF of Fractions 2611/971,5084/618 is 1/600078
Least Common Multiple of 971,618 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 971,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,618) x common factors =1 x 1 = 1
LCM(971,618) = ( 971 × 618 ) / 1
LCM(971,618) = 600078 / 1
LCM(971,618) = 600078
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FAQs on GCF of Fractions of 2611/971, 5084/618
1. What is the HCF of 2611,5084?
The HCF of 2611,5084 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 2611/971, 5084/618?
Answer: GCF of Numerators as per given numbers 2611/971, 5084/618 is
GCF of Numerators i.e. for 2611,5084 is 1
LCM of denominators i.e. for 971,618 is 600078.
Thus, GCF of Fractions is 1/600078.Finally, GCF of Fractions for 2611/971, 5084/618 is 1/600078.