GCF of 7961/129, 7198/554
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7961/129, 7198/554 i.e 1/71466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7961/129, 7198/554.
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 7961/129,7198/554?
Given fractions are 7961/129,7198/554
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 7961/129,7198/554, numerators are 7961,7198
Denominators are 129,554
The GCF of 7961,7198 is 1 .
LCM of 129,554 is 71466.
The greatest common factor of 7961/129,7198/554 = [GCF of 7961,7198]/[LCM of 129,554]= 1/71466
Therefore, the GCF of 7961/129,7198/554 is 1/71466.
To find the highest common factor of 7961,7198, we have to find the factors of both numbers and list the highest common factor.
The factors of 7961 are 1, 19, 419, 7961
The factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198
The HCF of 7961,7198 is 1.
Lets's calculate GCF of 7961,7198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7961,7198 By Matching Biggest Common Factor Method
Now, list down the factors of 7961
:1,19,419,7961
Now, list down the factors of 7198
:1,2,59,61,118,122,3599,7198
Greatest Common Factor
We found the factors 7961,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 7961,7198 is 1.
Lets's calculate LCM of 129,554
Given numbers has no common factors except 1. So, there LCM is their product i.e 71466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71466
Therefore, the GCF of Fractions 7961/129,7198/554 is 1/71466
Least Common Multiple of 129,554 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 129,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(129,554) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(129,554) x common factors =1 x 1 = 1
LCM(129,554) = ( 129 × 554 ) / 1
LCM(129,554) = 71466 / 1
LCM(129,554) = 71466
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FAQs on GCF of Fractions of 7961/129, 7198/554
1. What is the HCF of 7961,7198?
The HCF of 7961,7198 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 7961/129, 7198/554?
Answer: GCF of Numerators as per given numbers 7961/129, 7198/554 is
GCF of Numerators i.e. for 7961,7198 is 1
LCM of denominators i.e. for 129,554 is 71466.
Thus, GCF of Fractions is 1/71466.Finally, GCF of Fractions for 7961/129, 7198/554 is 1/71466.