GCF of 727/621, 6327/694
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 727/621, 6327/694 i.e 1/430974 easily. The following is the detailed procedure to determine the greatest common factor of fractions 727/621, 6327/694.
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 727/621,6327/694?
Given fractions are 727/621,6327/694
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 727/621,6327/694, numerators are 727,6327
Denominators are 621,694
The GCF of 727,6327 is 1 .
LCM of 621,694 is 430974.
The greatest common factor of 727/621,6327/694 = [GCF of 727,6327]/[LCM of 621,694]= 1/430974
Therefore, the GCF of 727/621,6327/694 is 1/430974.
To find the highest common factor of 727,6327, we have to find the factors of both numbers and list the highest common factor.
The factors of 727 are 1, 727
The factors of 6327 are 1, 3, 9, 19, 37, 57, 111, 171, 333, 703, 2109, 6327
The HCF of 727,6327 is 1.
Lets's calculate GCF of 727,6327
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 727,6327 By Matching Biggest Common Factor Method
Now, list down the factors of 727
:1,727
Now, list down the factors of 6327
:1,3,9,19,37,57,111,171,333,703,2109,6327
Greatest Common Factor
We found the factors 727,6327 . The biggest common factor number is the GCF number.
So the greatest common factor 727,6327 is 1.
Lets's calculate LCM of 621,694
Given numbers has no common factors except 1. So, there LCM is their product i.e 430974
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/430974
Therefore, the GCF of Fractions 727/621,6327/694 is 1/430974
Least Common Multiple of 621,694 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 621,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,694) x common factors =1 x 1 = 1
LCM(621,694) = ( 621 × 694 ) / 1
LCM(621,694) = 430974 / 1
LCM(621,694) = 430974
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FAQs on GCF of Fractions of 727/621, 6327/694
1. What is the HCF of 727,6327?
The HCF of 727,6327 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 727/621, 6327/694?
Answer: GCF of Numerators as per given numbers 727/621, 6327/694 is
GCF of Numerators i.e. for 727,6327 is 1
LCM of denominators i.e. for 621,694 is 430974.
Thus, GCF of Fractions is 1/430974.Finally, GCF of Fractions for 727/621, 6327/694 is 1/430974.