GCF of 5051/157, 4634/461
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5051/157, 4634/461 i.e 1/72377 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5051/157, 4634/461.
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 5051/157,4634/461?
Given fractions are 5051/157,4634/461
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 5051/157,4634/461, numerators are 5051,4634
Denominators are 157,461
The GCF of 5051,4634 is 1 .
LCM of 157,461 is 72377.
The greatest common factor of 5051/157,4634/461 = [GCF of 5051,4634]/[LCM of 157,461]= 1/72377
Therefore, the GCF of 5051/157,4634/461 is 1/72377.
To find the highest common factor of 5051,4634, we have to find the factors of both numbers and list the highest common factor.
The factors of 5051 are 1, 5051
The factors of 4634 are 1, 2, 7, 14, 331, 662, 2317, 4634
The HCF of 5051,4634 is 1.
Lets's calculate GCF of 5051,4634
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5051,4634 By Matching Biggest Common Factor Method
Now, list down the factors of 5051
:1,5051
Now, list down the factors of 4634
:1,2,7,14,331,662,2317,4634
Greatest Common Factor
We found the factors 5051,4634 . The biggest common factor number is the GCF number.
So the greatest common factor 5051,4634 is 1.
Lets's calculate LCM of 157,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 72377
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72377
Therefore, the GCF of Fractions 5051/157,4634/461 is 1/72377
Least Common Multiple of 157,461 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 157,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,461) x common factors =1 x 1 = 1
LCM(157,461) = ( 157 × 461 ) / 1
LCM(157,461) = 72377 / 1
LCM(157,461) = 72377
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FAQs on GCF of Fractions of 5051/157, 4634/461
1. What is the HCF of 5051,4634?
The HCF of 5051,4634 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 5051/157, 4634/461?
Answer: GCF of Numerators as per given numbers 5051/157, 4634/461 is
GCF of Numerators i.e. for 5051,4634 is 1
LCM of denominators i.e. for 157,461 is 72377.
Thus, GCF of Fractions is 1/72377.Finally, GCF of Fractions for 5051/157, 4634/461 is 1/72377.