GCF of 974/916, 6331/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 974/916, 6331/544 i.e 487/124576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 974/916, 6331/544.
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 974/916,6331/544?
Given fractions are 974/916,6331/544
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 974/916,6331/544, numerators are 974,6331
Denominators are 916,544
The GCF of 974,6331 is 487 .
LCM of 916,544 is 124576.
The greatest common factor of 974/916,6331/544 = [GCF of 974,6331]/[LCM of 916,544]= 487/124576
Therefore, the GCF of 974/916,6331/544 is 487/124576.
To find the highest common factor of 974,6331, we have to find the factors of both numbers and list the highest common factor.
The factors of 974 are 1, 2, 487, 974
The factors of 6331 are 1, 13, 487, 6331
The HCF of 974,6331 is 487.
Lets's calculate GCF of 974,6331
| 487 | 974, 6331 |
| 2, 13 |
∴ So the GCF of the given numbers is 487 = 487
Greatest Common Factor of 974,6331 By Matching Biggest Common Factor Method
Now, list down the factors of 974
:1,2,487,974
Now, list down the factors of 6331
:1,13,487,6331
Greatest Common Factor
We found the factors 974,6331 . The biggest common factor number is the GCF number.
So the greatest common factor 974,6331 is 487.
Lets's calculate LCM of 916,544
| 2 | 916, 544 |
| 2 | 458, 272 |
| 229, 136 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 136 = 124576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 487/124576
Therefore, the GCF of Fractions 974/916,6331/544 is 487/124576
Least Common Multiple of 916,544 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 916,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,544) x common factors =4 x 1 = 4
LCM(916,544) = ( 916 × 544 ) / 4
LCM(916,544) = 498304 / 4
LCM(916,544) = 124576
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FAQs on GCF of Fractions of 974/916, 6331/544
1. What is the HCF of 974,6331?
The HCF of 974,6331 is 487
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 974/916, 6331/544?
Answer: GCF of Numerators as per given numbers 974/916, 6331/544 is
GCF of Numerators i.e. for 974,6331 is 487
LCM of denominators i.e. for 916,544 is 124576.
Thus, GCF of Fractions is 487/124576.Finally, GCF of Fractions for 974/916, 6331/544 is 487/124576.