GCF of 791/976, 6456/151
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 791/976, 6456/151 i.e 1/147376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 791/976, 6456/151.
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 791/976,6456/151?
Given fractions are 791/976,6456/151
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 791/976,6456/151, numerators are 791,6456
Denominators are 976,151
The GCF of 791,6456 is 1 .
LCM of 976,151 is 147376.
The greatest common factor of 791/976,6456/151 = [GCF of 791,6456]/[LCM of 976,151]= 1/147376
Therefore, the GCF of 791/976,6456/151 is 1/147376.
To find the highest common factor of 791,6456, 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 6456 are 1, 2, 3, 4, 6, 8, 12, 24, 269, 538, 807, 1076, 1614, 2152, 3228, 6456
The HCF of 791,6456 is 1.
Lets's calculate GCF of 791,6456
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 791,6456 By Matching Biggest Common Factor Method
Now, list down the factors of 791
:1,7,113,791
Now, list down the factors of 6456
:1,2,3,4,6,8,12,24,269,538,807,1076,1614,2152,3228,6456
Greatest Common Factor
We found the factors 791,6456 . The biggest common factor number is the GCF number.
So the greatest common factor 791,6456 is 1.
Lets's calculate LCM of 976,151
Given numbers has no common factors except 1. So, there LCM is their product i.e 147376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147376
Therefore, the GCF of Fractions 791/976,6456/151 is 1/147376
Least Common Multiple of 976,151 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 976,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,151) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,151) x common factors =1 x 1 = 1
LCM(976,151) = ( 976 × 151 ) / 1
LCM(976,151) = 147376 / 1
LCM(976,151) = 147376
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FAQs on GCF of Fractions of 791/976, 6456/151
1. What is the HCF of 791,6456?
The HCF of 791,6456 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 791/976, 6456/151?
Answer: GCF of Numerators as per given numbers 791/976, 6456/151 is
GCF of Numerators i.e. for 791,6456 is 1
LCM of denominators i.e. for 976,151 is 147376.
Thus, GCF of Fractions is 1/147376.Finally, GCF of Fractions for 791/976, 6456/151 is 1/147376.