GCF of 1291/339, 6989/8477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1291/339, 6989/8477 i.e 1/2873703 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1291/339, 6989/8477.
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 1291/339,6989/8477?
Given fractions are 1291/339,6989/8477
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 1291/339,6989/8477, numerators are 1291,6989
Denominators are 339,8477
The GCF of 1291,6989 is 1 .
LCM of 339,8477 is 2873703.
The greatest common factor of 1291/339,6989/8477 = [GCF of 1291,6989]/[LCM of 339,8477]= 1/2873703
Therefore, the GCF of 1291/339,6989/8477 is 1/2873703.
To find the highest common factor of 1291,6989, we have to find the factors of both numbers and list the highest common factor.
The factors of 1291 are 1, 1291
The factors of 6989 are 1, 29, 241, 6989
The HCF of 1291,6989 is 1.
Lets's calculate GCF of 1291,6989
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1291,6989 By Matching Biggest Common Factor Method
Now, list down the factors of 1291
:1,1291
Now, list down the factors of 6989
:1,29,241,6989
Greatest Common Factor
We found the factors 1291,6989 . The biggest common factor number is the GCF number.
So the greatest common factor 1291,6989 is 1.
Lets's calculate LCM of 339,8477
Given numbers has no common factors except 1. So, there LCM is their product i.e 2873703
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2873703
Therefore, the GCF of Fractions 1291/339,6989/8477 is 1/2873703
Least Common Multiple of 339,8477 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 339,8477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(339,8477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(339,8477) x common factors =1 x 1 = 1
LCM(339,8477) = ( 339 × 8477 ) / 1
LCM(339,8477) = 2873703 / 1
LCM(339,8477) = 2873703
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FAQs on GCF of Fractions of 1291/339, 6989/8477
1. What is the HCF of 1291,6989?
The HCF of 1291,6989 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 1291/339, 6989/8477?
Answer: GCF of Numerators as per given numbers 1291/339, 6989/8477 is
GCF of Numerators i.e. for 1291,6989 is 1
LCM of denominators i.e. for 339,8477 is 2873703.
Thus, GCF of Fractions is 1/2873703.Finally, GCF of Fractions for 1291/339, 6989/8477 is 1/2873703.