GCF of 2141/137, 8702/261
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2141/137, 8702/261 i.e 1/35757 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2141/137, 8702/261.
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 2141/137,8702/261?
Given fractions are 2141/137,8702/261
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 2141/137,8702/261, numerators are 2141,8702
Denominators are 137,261
The GCF of 2141,8702 is 1 .
LCM of 137,261 is 35757.
The greatest common factor of 2141/137,8702/261 = [GCF of 2141,8702]/[LCM of 137,261]= 1/35757
Therefore, the GCF of 2141/137,8702/261 is 1/35757.
To find the highest common factor of 2141,8702, we have to find the factors of both numbers and list the highest common factor.
The factors of 2141 are 1, 2141
The factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702
The HCF of 2141,8702 is 1.
Lets's calculate GCF of 2141,8702
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2141,8702 By Matching Biggest Common Factor Method
Now, list down the factors of 2141
:1,2141
Now, list down the factors of 8702
:1,2,19,38,229,458,4351,8702
Greatest Common Factor
We found the factors 2141,8702 . The biggest common factor number is the GCF number.
So the greatest common factor 2141,8702 is 1.
Lets's calculate LCM of 137,261
Given numbers has no common factors except 1. So, there LCM is their product i.e 35757
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35757
Therefore, the GCF of Fractions 2141/137,8702/261 is 1/35757
Least Common Multiple of 137,261 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 137,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,261) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,261) x common factors =1 x 1 = 1
LCM(137,261) = ( 137 × 261 ) / 1
LCM(137,261) = 35757 / 1
LCM(137,261) = 35757
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FAQs on GCF of Fractions of 2141/137, 8702/261
1. What is the HCF of 2141,8702?
The HCF of 2141,8702 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 2141/137, 8702/261?
Answer: GCF of Numerators as per given numbers 2141/137, 8702/261 is
GCF of Numerators i.e. for 2141,8702 is 1
LCM of denominators i.e. for 137,261 is 35757.
Thus, GCF of Fractions is 1/35757.Finally, GCF of Fractions for 2141/137, 8702/261 is 1/35757.