GCF of 6941/530, 2422/1229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6941/530, 2422/1229 i.e 1/651370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6941/530, 2422/1229.
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 6941/530,2422/1229?
Given fractions are 6941/530,2422/1229
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 6941/530,2422/1229, numerators are 6941,2422
Denominators are 530,1229
The GCF of 6941,2422 is 1 .
LCM of 530,1229 is 651370.
The greatest common factor of 6941/530,2422/1229 = [GCF of 6941,2422]/[LCM of 530,1229]= 1/651370
Therefore, the GCF of 6941/530,2422/1229 is 1/651370.
To find the highest common factor of 6941,2422, we have to find the factors of both numbers and list the highest common factor.
The factors of 6941 are 1, 11, 631, 6941
The factors of 2422 are 1, 2, 7, 14, 173, 346, 1211, 2422
The HCF of 6941,2422 is 1.
Lets's calculate GCF of 6941,2422
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6941,2422 By Matching Biggest Common Factor Method
Now, list down the factors of 6941
:1,11,631,6941
Now, list down the factors of 2422
:1,2,7,14,173,346,1211,2422
Greatest Common Factor
We found the factors 6941,2422 . The biggest common factor number is the GCF number.
So the greatest common factor 6941,2422 is 1.
Lets's calculate LCM of 530,1229
Given numbers has no common factors except 1. So, there LCM is their product i.e 651370
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/651370
Therefore, the GCF of Fractions 6941/530,2422/1229 is 1/651370
Least Common Multiple of 530,1229 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 530,1229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,1229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(530,1229) x common factors =1 x 1 = 1
LCM(530,1229) = ( 530 × 1229 ) / 1
LCM(530,1229) = 651370 / 1
LCM(530,1229) = 651370
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FAQs on GCF of Fractions of 6941/530, 2422/1229
1. What is the HCF of 6941,2422?
The HCF of 6941,2422 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 6941/530, 2422/1229?
Answer: GCF of Numerators as per given numbers 6941/530, 2422/1229 is
GCF of Numerators i.e. for 6941,2422 is 1
LCM of denominators i.e. for 530,1229 is 651370.
Thus, GCF of Fractions is 1/651370.Finally, GCF of Fractions for 6941/530, 2422/1229 is 1/651370.