GCF of 5114/107, 7955/5379
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5114/107, 7955/5379 i.e 1/575553 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5114/107, 7955/5379.
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 5114/107,7955/5379?
Given fractions are 5114/107,7955/5379
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 5114/107,7955/5379, numerators are 5114,7955
Denominators are 107,5379
The GCF of 5114,7955 is 1 .
LCM of 107,5379 is 575553.
The greatest common factor of 5114/107,7955/5379 = [GCF of 5114,7955]/[LCM of 107,5379]= 1/575553
Therefore, the GCF of 5114/107,7955/5379 is 1/575553.
To find the highest common factor of 5114,7955, we have to find the factors of both numbers and list the highest common factor.
The factors of 5114 are 1, 2, 2557, 5114
The factors of 7955 are 1, 5, 37, 43, 185, 215, 1591, 7955
The HCF of 5114,7955 is 1.
Lets's calculate GCF of 5114,7955
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5114,7955 By Matching Biggest Common Factor Method
Now, list down the factors of 5114
:1,2,2557,5114
Now, list down the factors of 7955
:1,5,37,43,185,215,1591,7955
Greatest Common Factor
We found the factors 5114,7955 . The biggest common factor number is the GCF number.
So the greatest common factor 5114,7955 is 1.
Lets's calculate LCM of 107,5379
Given numbers has no common factors except 1. So, there LCM is their product i.e 575553
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/575553
Therefore, the GCF of Fractions 5114/107,7955/5379 is 1/575553
Least Common Multiple of 107,5379 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 107,5379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(107,5379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(107,5379) x common factors =1 x 1 = 1
LCM(107,5379) = ( 107 × 5379 ) / 1
LCM(107,5379) = 575553 / 1
LCM(107,5379) = 575553
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FAQs on GCF of Fractions of 5114/107, 7955/5379
1. What is the HCF of 5114,7955?
The HCF of 5114,7955 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 5114/107, 7955/5379?
Answer: GCF of Numerators as per given numbers 5114/107, 7955/5379 is
GCF of Numerators i.e. for 5114,7955 is 1
LCM of denominators i.e. for 107,5379 is 575553.
Thus, GCF of Fractions is 1/575553.Finally, GCF of Fractions for 5114/107, 7955/5379 is 1/575553.