GCF of 1137/171, 3122/1158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1137/171, 3122/1158 i.e 1/66006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1137/171, 3122/1158.
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 1137/171,3122/1158?
Given fractions are 1137/171,3122/1158
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 1137/171,3122/1158, numerators are 1137,3122
Denominators are 171,1158
The GCF of 1137,3122 is 1 .
LCM of 171,1158 is 66006.
The greatest common factor of 1137/171,3122/1158 = [GCF of 1137,3122]/[LCM of 171,1158]= 1/66006
Therefore, the GCF of 1137/171,3122/1158 is 1/66006.
To find the highest common factor of 1137,3122, we have to find the factors of both numbers and list the highest common factor.
The factors of 1137 are 1, 3, 379, 1137
The factors of 3122 are 1, 2, 7, 14, 223, 446, 1561, 3122
The HCF of 1137,3122 is 1.
Lets's calculate GCF of 1137,3122
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1137,3122 By Matching Biggest Common Factor Method
Now, list down the factors of 1137
:1,3,379,1137
Now, list down the factors of 3122
:1,2,7,14,223,446,1561,3122
Greatest Common Factor
We found the factors 1137,3122 . The biggest common factor number is the GCF number.
So the greatest common factor 1137,3122 is 1.
Lets's calculate LCM of 171,1158
| 3 | 171, 1158 |
| 57, 386 |
∴ So the LCM of the given numbers is 3 x 57 x 386 = 66006
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66006
Therefore, the GCF of Fractions 1137/171,3122/1158 is 1/66006
Least Common Multiple of 171,1158 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 171,1158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,1158) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,1158) x common factors =3 x 1 = 3
LCM(171,1158) = ( 171 × 1158 ) / 3
LCM(171,1158) = 198018 / 3
LCM(171,1158) = 66006
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FAQs on GCF of Fractions of 1137/171, 3122/1158
1. What is the HCF of 1137,3122?
The HCF of 1137,3122 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 1137/171, 3122/1158?
Answer: GCF of Numerators as per given numbers 1137/171, 3122/1158 is
GCF of Numerators i.e. for 1137,3122 is 1
LCM of denominators i.e. for 171,1158 is 66006.
Thus, GCF of Fractions is 1/66006.Finally, GCF of Fractions for 1137/171, 3122/1158 is 1/66006.