GCF of 6722/472, 1931/1687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6722/472, 1931/1687 i.e 1/796264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6722/472, 1931/1687.
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 6722/472,1931/1687?
Given fractions are 6722/472,1931/1687
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 6722/472,1931/1687, numerators are 6722,1931
Denominators are 472,1687
The GCF of 6722,1931 is 1 .
LCM of 472,1687 is 796264.
The greatest common factor of 6722/472,1931/1687 = [GCF of 6722,1931]/[LCM of 472,1687]= 1/796264
Therefore, the GCF of 6722/472,1931/1687 is 1/796264.
To find the highest common factor of 6722,1931, we have to find the factors of both numbers and list the highest common factor.
The factors of 6722 are 1, 2, 3361, 6722
The factors of 1931 are 1, 1931
The HCF of 6722,1931 is 1.
Lets's calculate GCF of 6722,1931
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6722,1931 By Matching Biggest Common Factor Method
Now, list down the factors of 6722
:1,2,3361,6722
Now, list down the factors of 1931
:1,1931
Greatest Common Factor
We found the factors 6722,1931 . The biggest common factor number is the GCF number.
So the greatest common factor 6722,1931 is 1.
Lets's calculate LCM of 472,1687
Given numbers has no common factors except 1. So, there LCM is their product i.e 796264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796264
Therefore, the GCF of Fractions 6722/472,1931/1687 is 1/796264
Least Common Multiple of 472,1687 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 472,1687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,1687) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,1687) x common factors =1 x 1 = 1
LCM(472,1687) = ( 472 × 1687 ) / 1
LCM(472,1687) = 796264 / 1
LCM(472,1687) = 796264
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FAQs on GCF of Fractions of 6722/472, 1931/1687
1. What is the HCF of 6722,1931?
The HCF of 6722,1931 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 6722/472, 1931/1687?
Answer: GCF of Numerators as per given numbers 6722/472, 1931/1687 is
GCF of Numerators i.e. for 6722,1931 is 1
LCM of denominators i.e. for 472,1687 is 796264.
Thus, GCF of Fractions is 1/796264.Finally, GCF of Fractions for 6722/472, 1931/1687 is 1/796264.