GCF of 6757/424, 1361/325
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6757/424, 1361/325 i.e 1/137800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6757/424, 1361/325.
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 6757/424,1361/325?
Given fractions are 6757/424,1361/325
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 6757/424,1361/325, numerators are 6757,1361
Denominators are 424,325
The GCF of 6757,1361 is 1 .
LCM of 424,325 is 137800.
The greatest common factor of 6757/424,1361/325 = [GCF of 6757,1361]/[LCM of 424,325]= 1/137800
Therefore, the GCF of 6757/424,1361/325 is 1/137800.
To find the highest common factor of 6757,1361, we have to find the factors of both numbers and list the highest common factor.
The factors of 6757 are 1, 29, 233, 6757
The factors of 1361 are 1, 1361
The HCF of 6757,1361 is 1.
Lets's calculate GCF of 6757,1361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6757,1361 By Matching Biggest Common Factor Method
Now, list down the factors of 6757
:1,29,233,6757
Now, list down the factors of 1361
:1,1361
Greatest Common Factor
We found the factors 6757,1361 . The biggest common factor number is the GCF number.
So the greatest common factor 6757,1361 is 1.
Lets's calculate LCM of 424,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 137800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137800
Therefore, the GCF of Fractions 6757/424,1361/325 is 1/137800
Least Common Multiple of 424,325 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 424,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,325) x common factors =1 x 1 = 1
LCM(424,325) = ( 424 × 325 ) / 1
LCM(424,325) = 137800 / 1
LCM(424,325) = 137800
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FAQs on GCF of Fractions of 6757/424, 1361/325
1. What is the HCF of 6757,1361?
The HCF of 6757,1361 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 6757/424, 1361/325?
Answer: GCF of Numerators as per given numbers 6757/424, 1361/325 is
GCF of Numerators i.e. for 6757,1361 is 1
LCM of denominators i.e. for 424,325 is 137800.
Thus, GCF of Fractions is 1/137800.Finally, GCF of Fractions for 6757/424, 1361/325 is 1/137800.