GCF of 951/396, 7438/711
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 951/396, 7438/711 i.e 1/31284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 951/396, 7438/711.
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 951/396,7438/711?
Given fractions are 951/396,7438/711
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 951/396,7438/711, numerators are 951,7438
Denominators are 396,711
The GCF of 951,7438 is 1 .
LCM of 396,711 is 31284.
The greatest common factor of 951/396,7438/711 = [GCF of 951,7438]/[LCM of 396,711]= 1/31284
Therefore, the GCF of 951/396,7438/711 is 1/31284.
To find the highest common factor of 951,7438, we have to find the factors of both numbers and list the highest common factor.
The factors of 951 are 1, 3, 317, 951
The factors of 7438 are 1, 2, 3719, 7438
The HCF of 951,7438 is 1.
Lets's calculate GCF of 951,7438
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 951,7438 By Matching Biggest Common Factor Method
Now, list down the factors of 951
:1,3,317,951
Now, list down the factors of 7438
:1,2,3719,7438
Greatest Common Factor
We found the factors 951,7438 . The biggest common factor number is the GCF number.
So the greatest common factor 951,7438 is 1.
Lets's calculate LCM of 396,711
| 3 | 396, 711 |
| 3 | 132, 237 |
| 44, 79 |
∴ So the LCM of the given numbers is 3 x 3 x 44 x 79 = 31284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31284
Therefore, the GCF of Fractions 951/396,7438/711 is 1/31284
Least Common Multiple of 396,711 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 396,711 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(396,711) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(396,711) x common factors =9 x 1 = 9
LCM(396,711) = ( 396 × 711 ) / 9
LCM(396,711) = 281556 / 9
LCM(396,711) = 31284
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FAQs on GCF of Fractions of 951/396, 7438/711
1. What is the HCF of 951,7438?
The HCF of 951,7438 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 951/396, 7438/711?
Answer: GCF of Numerators as per given numbers 951/396, 7438/711 is
GCF of Numerators i.e. for 951,7438 is 1
LCM of denominators i.e. for 396,711 is 31284.
Thus, GCF of Fractions is 1/31284.Finally, GCF of Fractions for 951/396, 7438/711 is 1/31284.