GCF of 1627/394, 7954/7377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1627/394, 7954/7377 i.e 1/2906538 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1627/394, 7954/7377.
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 1627/394,7954/7377?
Given fractions are 1627/394,7954/7377
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 1627/394,7954/7377, numerators are 1627,7954
Denominators are 394,7377
The GCF of 1627,7954 is 1 .
LCM of 394,7377 is 2906538.
The greatest common factor of 1627/394,7954/7377 = [GCF of 1627,7954]/[LCM of 394,7377]= 1/2906538
Therefore, the GCF of 1627/394,7954/7377 is 1/2906538.
To find the highest common factor of 1627,7954, we have to find the factors of both numbers and list the highest common factor.
The factors of 1627 are 1, 1627
The factors of 7954 are 1, 2, 41, 82, 97, 194, 3977, 7954
The HCF of 1627,7954 is 1.
Lets's calculate GCF of 1627,7954
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1627,7954 By Matching Biggest Common Factor Method
Now, list down the factors of 1627
:1,1627
Now, list down the factors of 7954
:1,2,41,82,97,194,3977,7954
Greatest Common Factor
We found the factors 1627,7954 . The biggest common factor number is the GCF number.
So the greatest common factor 1627,7954 is 1.
Lets's calculate LCM of 394,7377
Given numbers has no common factors except 1. So, there LCM is their product i.e 2906538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2906538
Therefore, the GCF of Fractions 1627/394,7954/7377 is 1/2906538
Least Common Multiple of 394,7377 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 394,7377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(394,7377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(394,7377) x common factors =1 x 1 = 1
LCM(394,7377) = ( 394 × 7377 ) / 1
LCM(394,7377) = 2906538 / 1
LCM(394,7377) = 2906538
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FAQs on GCF of Fractions of 1627/394, 7954/7377
1. What is the HCF of 1627,7954?
The HCF of 1627,7954 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 1627/394, 7954/7377?
Answer: GCF of Numerators as per given numbers 1627/394, 7954/7377 is
GCF of Numerators i.e. for 1627,7954 is 1
LCM of denominators i.e. for 394,7377 is 2906538.
Thus, GCF of Fractions is 1/2906538.Finally, GCF of Fractions for 1627/394, 7954/7377 is 1/2906538.