GCF of 3164/757, 1959/1291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3164/757, 1959/1291 i.e 1/977287 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3164/757, 1959/1291.
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 3164/757,1959/1291?
Given fractions are 3164/757,1959/1291
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 3164/757,1959/1291, numerators are 3164,1959
Denominators are 757,1291
The GCF of 3164,1959 is 1 .
LCM of 757,1291 is 977287.
The greatest common factor of 3164/757,1959/1291 = [GCF of 3164,1959]/[LCM of 757,1291]= 1/977287
Therefore, the GCF of 3164/757,1959/1291 is 1/977287.
To find the highest common factor of 3164,1959, we have to find the factors of both numbers and list the highest common factor.
The factors of 3164 are 1, 2, 4, 7, 14, 28, 113, 226, 452, 791, 1582, 3164
The factors of 1959 are 1, 3, 653, 1959
The HCF of 3164,1959 is 1.
Lets's calculate GCF of 3164,1959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3164,1959 By Matching Biggest Common Factor Method
Now, list down the factors of 3164
:1,2,4,7,14,28,113,226,452,791,1582,3164
Now, list down the factors of 1959
:1,3,653,1959
Greatest Common Factor
We found the factors 3164,1959 . The biggest common factor number is the GCF number.
So the greatest common factor 3164,1959 is 1.
Lets's calculate LCM of 757,1291
Given numbers has no common factors except 1. So, there LCM is their product i.e 977287
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/977287
Therefore, the GCF of Fractions 3164/757,1959/1291 is 1/977287
Least Common Multiple of 757,1291 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 757,1291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,1291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,1291) x common factors =1 x 1 = 1
LCM(757,1291) = ( 757 × 1291 ) / 1
LCM(757,1291) = 977287 / 1
LCM(757,1291) = 977287
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FAQs on GCF of Fractions of 3164/757, 1959/1291
1. What is the HCF of 3164,1959?
The HCF of 3164,1959 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 3164/757, 1959/1291?
Answer: GCF of Numerators as per given numbers 3164/757, 1959/1291 is
GCF of Numerators i.e. for 3164,1959 is 1
LCM of denominators i.e. for 757,1291 is 977287.
Thus, GCF of Fractions is 1/977287.Finally, GCF of Fractions for 3164/757, 1959/1291 is 1/977287.