GCF of 6359/235, 3121/916
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6359/235, 3121/916 i.e 1/215260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6359/235, 3121/916.
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 6359/235,3121/916?
Given fractions are 6359/235,3121/916
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 6359/235,3121/916, numerators are 6359,3121
Denominators are 235,916
The GCF of 6359,3121 is 1 .
LCM of 235,916 is 215260.
The greatest common factor of 6359/235,3121/916 = [GCF of 6359,3121]/[LCM of 235,916]= 1/215260
Therefore, the GCF of 6359/235,3121/916 is 1/215260.
To find the highest common factor of 6359,3121, we have to find the factors of both numbers and list the highest common factor.
The factors of 6359 are 1, 6359
The factors of 3121 are 1, 3121
The HCF of 6359,3121 is 1.
Lets's calculate GCF of 6359,3121
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6359,3121 By Matching Biggest Common Factor Method
Now, list down the factors of 6359
:1,6359
Now, list down the factors of 3121
:1,3121
Greatest Common Factor
We found the factors 6359,3121 . The biggest common factor number is the GCF number.
So the greatest common factor 6359,3121 is 1.
Lets's calculate LCM of 235,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 215260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/215260
Therefore, the GCF of Fractions 6359/235,3121/916 is 1/215260
Least Common Multiple of 235,916 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 235,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,916) x common factors =1 x 1 = 1
LCM(235,916) = ( 235 × 916 ) / 1
LCM(235,916) = 215260 / 1
LCM(235,916) = 215260
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FAQs on GCF of Fractions of 6359/235, 3121/916
1. What is the HCF of 6359,3121?
The HCF of 6359,3121 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 6359/235, 3121/916?
Answer: GCF of Numerators as per given numbers 6359/235, 3121/916 is
GCF of Numerators i.e. for 6359,3121 is 1
LCM of denominators i.e. for 235,916 is 215260.
Thus, GCF of Fractions is 1/215260.Finally, GCF of Fractions for 6359/235, 3121/916 is 1/215260.