GCF of 631/723, 4189/971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 631/723, 4189/971 i.e 1/702033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 631/723, 4189/971.
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 631/723,4189/971?
Given fractions are 631/723,4189/971
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 631/723,4189/971, numerators are 631,4189
Denominators are 723,971
The GCF of 631,4189 is 1 .
LCM of 723,971 is 702033.
The greatest common factor of 631/723,4189/971 = [GCF of 631,4189]/[LCM of 723,971]= 1/702033
Therefore, the GCF of 631/723,4189/971 is 1/702033.
To find the highest common factor of 631,4189, we have to find the factors of both numbers and list the highest common factor.
The factors of 631 are 1, 631
The factors of 4189 are 1, 59, 71, 4189
The HCF of 631,4189 is 1.
Lets's calculate GCF of 631,4189
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 631,4189 By Matching Biggest Common Factor Method
Now, list down the factors of 631
:1,631
Now, list down the factors of 4189
:1,59,71,4189
Greatest Common Factor
We found the factors 631,4189 . The biggest common factor number is the GCF number.
So the greatest common factor 631,4189 is 1.
Lets's calculate LCM of 723,971
Given numbers has no common factors except 1. So, there LCM is their product i.e 702033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/702033
Therefore, the GCF of Fractions 631/723,4189/971 is 1/702033
Least Common Multiple of 723,971 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 723,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,971) x common factors =1 x 1 = 1
LCM(723,971) = ( 723 × 971 ) / 1
LCM(723,971) = 702033 / 1
LCM(723,971) = 702033
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FAQs on GCF of Fractions of 631/723, 4189/971
1. What is the HCF of 631,4189?
The HCF of 631,4189 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 631/723, 4189/971?
Answer: GCF of Numerators as per given numbers 631/723, 4189/971 is
GCF of Numerators i.e. for 631,4189 is 1
LCM of denominators i.e. for 723,971 is 702033.
Thus, GCF of Fractions is 1/702033.Finally, GCF of Fractions for 631/723, 4189/971 is 1/702033.