GCF of 6201/881, 1538/689
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6201/881, 1538/689 i.e 1/607009 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6201/881, 1538/689.
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 6201/881,1538/689?
Given fractions are 6201/881,1538/689
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 6201/881,1538/689, numerators are 6201,1538
Denominators are 881,689
The GCF of 6201,1538 is 1 .
LCM of 881,689 is 607009.
The greatest common factor of 6201/881,1538/689 = [GCF of 6201,1538]/[LCM of 881,689]= 1/607009
Therefore, the GCF of 6201/881,1538/689 is 1/607009.
To find the highest common factor of 6201,1538, we have to find the factors of both numbers and list the highest common factor.
The factors of 6201 are 1, 3, 9, 13, 39, 53, 117, 159, 477, 689, 2067, 6201
The factors of 1538 are 1, 2, 769, 1538
The HCF of 6201,1538 is 1.
Lets's calculate GCF of 6201,1538
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6201,1538 By Matching Biggest Common Factor Method
Now, list down the factors of 6201
:1,3,9,13,39,53,117,159,477,689,2067,6201
Now, list down the factors of 1538
:1,2,769,1538
Greatest Common Factor
We found the factors 6201,1538 . The biggest common factor number is the GCF number.
So the greatest common factor 6201,1538 is 1.
Lets's calculate LCM of 881,689
Given numbers has no common factors except 1. So, there LCM is their product i.e 607009
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/607009
Therefore, the GCF of Fractions 6201/881,1538/689 is 1/607009
Least Common Multiple of 881,689 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 881,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,689) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,689) x common factors =1 x 1 = 1
LCM(881,689) = ( 881 × 689 ) / 1
LCM(881,689) = 607009 / 1
LCM(881,689) = 607009
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FAQs on GCF of Fractions of 6201/881, 1538/689
1. What is the HCF of 6201,1538?
The HCF of 6201,1538 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 6201/881, 1538/689?
Answer: GCF of Numerators as per given numbers 6201/881, 1538/689 is
GCF of Numerators i.e. for 6201,1538 is 1
LCM of denominators i.e. for 881,689 is 607009.
Thus, GCF of Fractions is 1/607009.Finally, GCF of Fractions for 6201/881, 1538/689 is 1/607009.