GCF of 5161/372, 1100/715
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5161/372, 1100/715 i.e 1/265980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5161/372, 1100/715.
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 5161/372,1100/715?
Given fractions are 5161/372,1100/715
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 5161/372,1100/715, numerators are 5161,1100
Denominators are 372,715
The GCF of 5161,1100 is 1 .
LCM of 372,715 is 265980.
The greatest common factor of 5161/372,1100/715 = [GCF of 5161,1100]/[LCM of 372,715]= 1/265980
Therefore, the GCF of 5161/372,1100/715 is 1/265980.
To find the highest common factor of 5161,1100, we have to find the factors of both numbers and list the highest common factor.
The factors of 5161 are 1, 13, 397, 5161
The factors of 1100 are 1, 2, 4, 5, 10, 11, 20, 22, 25, 44, 50, 55, 100, 110, 220, 275, 550, 1100
The HCF of 5161,1100 is 1.
Lets's calculate GCF of 5161,1100
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5161,1100 By Matching Biggest Common Factor Method
Now, list down the factors of 5161
:1,13,397,5161
Now, list down the factors of 1100
:1,2,4,5,10,11,20,22,25,44,50,55,100,110,220,275,550,1100
Greatest Common Factor
We found the factors 5161,1100 . The biggest common factor number is the GCF number.
So the greatest common factor 5161,1100 is 1.
Lets's calculate LCM of 372,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 265980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265980
Therefore, the GCF of Fractions 5161/372,1100/715 is 1/265980
Least Common Multiple of 372,715 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 372,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(372,715) x common factors =1 x 1 = 1
LCM(372,715) = ( 372 × 715 ) / 1
LCM(372,715) = 265980 / 1
LCM(372,715) = 265980
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FAQs on GCF of Fractions of 5161/372, 1100/715
1. What is the HCF of 5161,1100?
The HCF of 5161,1100 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 5161/372, 1100/715?
Answer: GCF of Numerators as per given numbers 5161/372, 1100/715 is
GCF of Numerators i.e. for 5161,1100 is 1
LCM of denominators i.e. for 372,715 is 265980.
Thus, GCF of Fractions is 1/265980.Finally, GCF of Fractions for 5161/372, 1100/715 is 1/265980.