GCF of 6427/620, 6938/789
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6427/620, 6938/789 i.e 1/489180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6427/620, 6938/789.
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 6427/620,6938/789?
Given fractions are 6427/620,6938/789
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 6427/620,6938/789, numerators are 6427,6938
Denominators are 620,789
The GCF of 6427,6938 is 1 .
LCM of 620,789 is 489180.
The greatest common factor of 6427/620,6938/789 = [GCF of 6427,6938]/[LCM of 620,789]= 1/489180
Therefore, the GCF of 6427/620,6938/789 is 1/489180.
To find the highest common factor of 6427,6938, we have to find the factors of both numbers and list the highest common factor.
The factors of 6427 are 1, 6427
The factors of 6938 are 1, 2, 3469, 6938
The HCF of 6427,6938 is 1.
Lets's calculate GCF of 6427,6938
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6427,6938 By Matching Biggest Common Factor Method
Now, list down the factors of 6427
:1,6427
Now, list down the factors of 6938
:1,2,3469,6938
Greatest Common Factor
We found the factors 6427,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 6427,6938 is 1.
Lets's calculate LCM of 620,789
Given numbers has no common factors except 1. So, there LCM is their product i.e 489180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/489180
Therefore, the GCF of Fractions 6427/620,6938/789 is 1/489180
Least Common Multiple of 620,789 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 620,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,789) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(620,789) x common factors =1 x 1 = 1
LCM(620,789) = ( 620 × 789 ) / 1
LCM(620,789) = 489180 / 1
LCM(620,789) = 489180
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FAQs on GCF of Fractions of 6427/620, 6938/789
1. What is the HCF of 6427,6938?
The HCF of 6427,6938 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 6427/620, 6938/789?
Answer: GCF of Numerators as per given numbers 6427/620, 6938/789 is
GCF of Numerators i.e. for 6427,6938 is 1
LCM of denominators i.e. for 620,789 is 489180.
Thus, GCF of Fractions is 1/489180.Finally, GCF of Fractions for 6427/620, 6938/789 is 1/489180.