GCF of 931/881, 2522/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 931/881, 2522/789 i.e 1/695109 easily. The following is the detailed procedure to determine the greatest common factor of fractions 931/881, 2522/789.
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 931/881,2522/789?
Given fractions are 931/881,2522/789
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 931/881,2522/789, numerators are 931,2522
Denominators are 881,789
The GCF of 931,2522 is 1 .
LCM of 881,789 is 695109.
The greatest common factor of 931/881,2522/789 = [GCF of 931,2522]/[LCM of 881,789]= 1/695109
Therefore, the GCF of 931/881,2522/789 is 1/695109.
To find the highest common factor of 931,2522, we have to find the factors of both numbers and list the highest common factor.
The factors of 931 are 1, 7, 19, 49, 133, 931
The factors of 2522 are 1, 2, 13, 26, 97, 194, 1261, 2522
The HCF of 931,2522 is 1.
Lets's calculate GCF of 931,2522
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 931,2522 By Matching Biggest Common Factor Method
Now, list down the factors of 931
:1,7,19,49,133,931
Now, list down the factors of 2522
:1,2,13,26,97,194,1261,2522
Greatest Common Factor
We found the factors 931,2522 . The biggest common factor number is the GCF number.
So the greatest common factor 931,2522 is 1.
Lets's calculate LCM of 881,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 695109
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695109
Therefore, the GCF of Fractions 931/881,2522/789 is 1/695109
Least Common Multiple of 881,789 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 881,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,789) x common factors =1 x 1 = 1
LCM(881,789) = ( 881 × 789 ) / 1
LCM(881,789) = 695109 / 1
LCM(881,789) = 695109
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FAQs on GCF of Fractions of 931/881, 2522/789
1. What is the HCF of 931,2522?
The HCF of 931,2522 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 931/881, 2522/789?
Answer: GCF of Numerators as per given numbers 931/881, 2522/789 is
GCF of Numerators i.e. for 931,2522 is 1
LCM of denominators i.e. for 881,789 is 695109.
Thus, GCF of Fractions is 1/695109.Finally, GCF of Fractions for 931/881, 2522/789 is 1/695109.