GCF of 791/385, 486/126
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 791/385, 486/126 i.e 1/6930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/385, 486/126.
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 791/385,486/126?
Given fractions are 791/385,486/126
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 791/385,486/126, numerators are 791,486
Denominators are 385,126
The GCF of 791,486 is 1 .
LCM of 385,126 is 6930.
The greatest common factor of 791/385,486/126 = [GCF of 791,486]/[LCM of 385,126]= 1/6930
Therefore, the GCF of 791/385,486/126 is 1/6930.
To find the highest common factor of 791,486, we have to find the factors of both numbers and list the highest common factor.
The factors of 791 are 1, 7, 113, 791
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 791,486 is 1.
Lets's calculate GCF of 791,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 791,486 By Matching Biggest Common Factor Method
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 791,486 . The biggest common factor number is the GCF number.
So the greatest common factor 791,486 is 1.
Lets's calculate LCM of 385,126
| 7 | 385, 126 |
| 55, 18 |
∴ So the LCM of the given numbers is 7 x 55 x 18 = 6930
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6930
Therefore, the GCF of Fractions 791/385,486/126 is 1/6930
Least Common Multiple of 385,126 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 385,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,126) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(385,126) x common factors =7 x 1 = 7
LCM(385,126) = ( 385 × 126 ) / 7
LCM(385,126) = 48510 / 7
LCM(385,126) = 6930
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FAQs on GCF of Fractions of 791/385, 486/126
1. What is the HCF of 791,486?
The HCF of 791,486 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 791/385, 486/126?
Answer: GCF of Numerators as per given numbers 791/385, 486/126 is
GCF of Numerators i.e. for 791,486 is 1
LCM of denominators i.e. for 385,126 is 6930.
Thus, GCF of Fractions is 1/6930.Finally, GCF of Fractions for 791/385, 486/126 is 1/6930.