GCF of 141/787, 613/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 141/787, 613/220 i.e 1/173140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 141/787, 613/220.
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 141/787,613/220?
Given fractions are 141/787,613/220
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 141/787,613/220, numerators are 141,613
Denominators are 787,220
The GCF of 141,613 is 1 .
LCM of 787,220 is 173140.
The greatest common factor of 141/787,613/220 = [GCF of 141,613]/[LCM of 787,220]= 1/173140
Therefore, the GCF of 141/787,613/220 is 1/173140.
To find the highest common factor of 141,613, we have to find the factors of both numbers and list the highest common factor.
The factors of 141 are 1, 3, 47, 141
The factors of 613 are 1, 613
The HCF of 141,613 is 1.
Lets's calculate GCF of 141,613
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 141,613 By Matching Biggest Common Factor Method
Now, list down the factors of 141
:1,3,47,141
Now, list down the factors of 613
:1,613
Greatest Common Factor
We found the factors 141,613 . The biggest common factor number is the GCF number.
So the greatest common factor 141,613 is 1.
Lets's calculate LCM of 787,220
Given numbers has no common factors except 1. So, there LCM is their product i.e 173140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/173140
Therefore, the GCF of Fractions 141/787,613/220 is 1/173140
Least Common Multiple of 787,220 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 787,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,220) x common factors =1 x 1 = 1
LCM(787,220) = ( 787 × 220 ) / 1
LCM(787,220) = 173140 / 1
LCM(787,220) = 173140
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FAQs on GCF of Fractions of 141/787, 613/220
1. What is the HCF of 141,613?
The HCF of 141,613 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 141/787, 613/220?
Answer: GCF of Numerators as per given numbers 141/787, 613/220 is
GCF of Numerators i.e. for 141,613 is 1
LCM of denominators i.e. for 787,220 is 173140.
Thus, GCF of Fractions is 1/173140.Finally, GCF of Fractions for 141/787, 613/220 is 1/173140.