GCF of 6751/472, 8474/1254
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6751/472, 8474/1254 i.e 1/295944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6751/472, 8474/1254.
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 6751/472,8474/1254?
Given fractions are 6751/472,8474/1254
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 6751/472,8474/1254, numerators are 6751,8474
Denominators are 472,1254
The GCF of 6751,8474 is 1 .
LCM of 472,1254 is 295944.
The greatest common factor of 6751/472,8474/1254 = [GCF of 6751,8474]/[LCM of 472,1254]= 1/295944
Therefore, the GCF of 6751/472,8474/1254 is 1/295944.
To find the highest common factor of 6751,8474, we have to find the factors of both numbers and list the highest common factor.
The factors of 6751 are 1, 43, 157, 6751
The factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474
The HCF of 6751,8474 is 1.
Lets's calculate GCF of 6751,8474
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6751,8474 By Matching Biggest Common Factor Method
Now, list down the factors of 6751
:1,43,157,6751
Now, list down the factors of 8474
:1,2,19,38,223,446,4237,8474
Greatest Common Factor
We found the factors 6751,8474 . The biggest common factor number is the GCF number.
So the greatest common factor 6751,8474 is 1.
Lets's calculate LCM of 472,1254
| 2 | 472, 1254 |
| 236, 627 |
∴ So the LCM of the given numbers is 2 x 236 x 627 = 295944
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295944
Therefore, the GCF of Fractions 6751/472,8474/1254 is 1/295944
Least Common Multiple of 472,1254 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 472,1254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,1254) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(472,1254) x common factors =2 x 1 = 2
LCM(472,1254) = ( 472 × 1254 ) / 2
LCM(472,1254) = 591888 / 2
LCM(472,1254) = 295944
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FAQs on GCF of Fractions of 6751/472, 8474/1254
1. What is the HCF of 6751,8474?
The HCF of 6751,8474 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 6751/472, 8474/1254?
Answer: GCF of Numerators as per given numbers 6751/472, 8474/1254 is
GCF of Numerators i.e. for 6751,8474 is 1
LCM of denominators i.e. for 472,1254 is 295944.
Thus, GCF of Fractions is 1/295944.Finally, GCF of Fractions for 6751/472, 8474/1254 is 1/295944.