GCF of 973/512, 4917/544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 973/512, 4917/544 i.e 1/8704 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/512, 4917/544.
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 973/512,4917/544?
Given fractions are 973/512,4917/544
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 973/512,4917/544, numerators are 973,4917
Denominators are 512,544
The GCF of 973,4917 is 1 .
LCM of 512,544 is 8704.
The greatest common factor of 973/512,4917/544 = [GCF of 973,4917]/[LCM of 512,544]= 1/8704
Therefore, the GCF of 973/512,4917/544 is 1/8704.
To find the highest common factor of 973,4917, we have to find the factors of both numbers and list the highest common factor.
The factors of 973 are 1, 7, 139, 973
The factors of 4917 are 1, 3, 11, 33, 149, 447, 1639, 4917
The HCF of 973,4917 is 1.
Lets's calculate GCF of 973,4917
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 973,4917 By Matching Biggest Common Factor Method
Now, list down the factors of 973
:1,7,139,973
Now, list down the factors of 4917
:1,3,11,33,149,447,1639,4917
Greatest Common Factor
We found the factors 973,4917 . The biggest common factor number is the GCF number.
So the greatest common factor 973,4917 is 1.
Lets's calculate LCM of 512,544
| 2 | 512, 544 |
| 2 | 256, 272 |
| 2 | 128, 136 |
| 2 | 64, 68 |
| 2 | 32, 34 |
| 16, 17 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 16 x 17 = 8704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8704
Therefore, the GCF of Fractions 973/512,4917/544 is 1/8704
Least Common Multiple of 512,544 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 512,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,544) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(512,544) x common factors =32 x 1 = 32
LCM(512,544) = ( 512 × 544 ) / 32
LCM(512,544) = 278528 / 32
LCM(512,544) = 8704
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FAQs on GCF of Fractions of 973/512, 4917/544
1. What is the HCF of 973,4917?
The HCF of 973,4917 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 973/512, 4917/544?
Answer: GCF of Numerators as per given numbers 973/512, 4917/544 is
GCF of Numerators i.e. for 973,4917 is 1
LCM of denominators i.e. for 512,544 is 8704.
Thus, GCF of Fractions is 1/8704.Finally, GCF of Fractions for 973/512, 4917/544 is 1/8704.