GCF of 130/780, 861/341
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 130/780, 861/341 i.e 1/265980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 130/780, 861/341.
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 130/780,861/341?
Given fractions are 130/780,861/341
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 130/780,861/341, numerators are 130,861
Denominators are 780,341
The GCF of 130,861 is 1 .
LCM of 780,341 is 265980.
The greatest common factor of 130/780,861/341 = [GCF of 130,861]/[LCM of 780,341]= 1/265980
Therefore, the GCF of 130/780,861/341 is 1/265980.
To find the highest common factor of 130,861, we have to find the factors of both numbers and list the highest common factor.
The factors of 130 are 1, 2, 5, 10, 13, 26, 65, 130
The factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861
The HCF of 130,861 is 1.
Lets's calculate GCF of 130,861
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 130,861 By Matching Biggest Common Factor Method
Now, list down the factors of 130
:1,2,5,10,13,26,65,130
Now, list down the factors of 861
:1,3,7,21,41,123,287,861
Greatest Common Factor
We found the factors 130,861 . The biggest common factor number is the GCF number.
So the greatest common factor 130,861 is 1.
Lets's calculate LCM of 780,341
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 130/780,861/341 is 1/265980
Least Common Multiple of 780,341 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 780,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(780,341) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(780,341) x common factors =1 x 1 = 1
LCM(780,341) = ( 780 × 341 ) / 1
LCM(780,341) = 265980 / 1
LCM(780,341) = 265980
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FAQs on GCF of Fractions of 130/780, 861/341
1. What is the HCF of 130,861?
The HCF of 130,861 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 130/780, 861/341?
Answer: GCF of Numerators as per given numbers 130/780, 861/341 is
GCF of Numerators i.e. for 130,861 is 1
LCM of denominators i.e. for 780,341 is 265980.
Thus, GCF of Fractions is 1/265980.Finally, GCF of Fractions for 130/780, 861/341 is 1/265980.