GCF of 7639/687, 2371/122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7639/687, 2371/122 i.e 1/83814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7639/687, 2371/122.
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 7639/687,2371/122?
Given fractions are 7639/687,2371/122
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 7639/687,2371/122, numerators are 7639,2371
Denominators are 687,122
The GCF of 7639,2371 is 1 .
LCM of 687,122 is 83814.
The greatest common factor of 7639/687,2371/122 = [GCF of 7639,2371]/[LCM of 687,122]= 1/83814
Therefore, the GCF of 7639/687,2371/122 is 1/83814.
To find the highest common factor of 7639,2371, we have to find the factors of both numbers and list the highest common factor.
The factors of 7639 are 1, 7639
The factors of 2371 are 1, 2371
The HCF of 7639,2371 is 1.
Lets's calculate GCF of 7639,2371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7639,2371 By Matching Biggest Common Factor Method
Now, list down the factors of 7639
:1,7639
Now, list down the factors of 2371
:1,2371
Greatest Common Factor
We found the factors 7639,2371 . The biggest common factor number is the GCF number.
So the greatest common factor 7639,2371 is 1.
Lets's calculate LCM of 687,122
Given numbers has no common factors except 1. So, there LCM is their product i.e 83814
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83814
Therefore, the GCF of Fractions 7639/687,2371/122 is 1/83814
Least Common Multiple of 687,122 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 687,122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,122) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,122) x common factors =1 x 1 = 1
LCM(687,122) = ( 687 × 122 ) / 1
LCM(687,122) = 83814 / 1
LCM(687,122) = 83814
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FAQs on GCF of Fractions of 7639/687, 2371/122
1. What is the HCF of 7639,2371?
The HCF of 7639,2371 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 7639/687, 2371/122?
Answer: GCF of Numerators as per given numbers 7639/687, 2371/122 is
GCF of Numerators i.e. for 7639,2371 is 1
LCM of denominators i.e. for 687,122 is 83814.
Thus, GCF of Fractions is 1/83814.Finally, GCF of Fractions for 7639/687, 2371/122 is 1/83814.