GCF of 6031/782, 7618/131
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6031/782, 7618/131 i.e 1/102442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6031/782, 7618/131.
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 6031/782,7618/131?
Given fractions are 6031/782,7618/131
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 6031/782,7618/131, numerators are 6031,7618
Denominators are 782,131
The GCF of 6031,7618 is 1 .
LCM of 782,131 is 102442.
The greatest common factor of 6031/782,7618/131 = [GCF of 6031,7618]/[LCM of 782,131]= 1/102442
Therefore, the GCF of 6031/782,7618/131 is 1/102442.
To find the highest common factor of 6031,7618, we have to find the factors of both numbers and list the highest common factor.
The factors of 6031 are 1, 37, 163, 6031
The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618
The HCF of 6031,7618 is 1.
Lets's calculate GCF of 6031,7618
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6031,7618 By Matching Biggest Common Factor Method
Now, list down the factors of 6031
:1,37,163,6031
Now, list down the factors of 7618
:1,2,13,26,293,586,3809,7618
Greatest Common Factor
We found the factors 6031,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 6031,7618 is 1.
Lets's calculate LCM of 782,131
Given numbers has no common factors except 1. So, there LCM is their product i.e 102442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102442
Therefore, the GCF of Fractions 6031/782,7618/131 is 1/102442
Least Common Multiple of 782,131 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 782,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,131) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(782,131) x common factors =1 x 1 = 1
LCM(782,131) = ( 782 × 131 ) / 1
LCM(782,131) = 102442 / 1
LCM(782,131) = 102442
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FAQs on GCF of Fractions of 6031/782, 7618/131
1. What is the HCF of 6031,7618?
The HCF of 6031,7618 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 6031/782, 7618/131?
Answer: GCF of Numerators as per given numbers 6031/782, 7618/131 is
GCF of Numerators i.e. for 6031,7618 is 1
LCM of denominators i.e. for 782,131 is 102442.
Thus, GCF of Fractions is 1/102442.Finally, GCF of Fractions for 6031/782, 7618/131 is 1/102442.