GCF of 7976/507, 8747/543
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7976/507, 8747/543 i.e 1/91767 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7976/507, 8747/543.
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 7976/507,8747/543?
Given fractions are 7976/507,8747/543
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 7976/507,8747/543, numerators are 7976,8747
Denominators are 507,543
The GCF of 7976,8747 is 1 .
LCM of 507,543 is 91767.
The greatest common factor of 7976/507,8747/543 = [GCF of 7976,8747]/[LCM of 507,543]= 1/91767
Therefore, the GCF of 7976/507,8747/543 is 1/91767.
To find the highest common factor of 7976,8747, we have to find the factors of both numbers and list the highest common factor.
The factors of 7976 are 1, 2, 4, 8, 997, 1994, 3988, 7976
The factors of 8747 are 1, 8747
The HCF of 7976,8747 is 1.
Lets's calculate GCF of 7976,8747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7976,8747 By Matching Biggest Common Factor Method
Now, list down the factors of 7976
:1,2,4,8,997,1994,3988,7976
Now, list down the factors of 8747
:1,8747
Greatest Common Factor
We found the factors 7976,8747 . The biggest common factor number is the GCF number.
So the greatest common factor 7976,8747 is 1.
Lets's calculate LCM of 507,543
| 3 | 507, 543 |
| 169, 181 |
∴ So the LCM of the given numbers is 3 x 169 x 181 = 91767
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/91767
Therefore, the GCF of Fractions 7976/507,8747/543 is 1/91767
Least Common Multiple of 507,543 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 507,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,543) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,543) x common factors =3 x 1 = 3
LCM(507,543) = ( 507 × 543 ) / 3
LCM(507,543) = 275301 / 3
LCM(507,543) = 91767
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FAQs on GCF of Fractions of 7976/507, 8747/543
1. What is the HCF of 7976,8747?
The HCF of 7976,8747 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 7976/507, 8747/543?
Answer: GCF of Numerators as per given numbers 7976/507, 8747/543 is
GCF of Numerators i.e. for 7976,8747 is 1
LCM of denominators i.e. for 507,543 is 91767.
Thus, GCF of Fractions is 1/91767.Finally, GCF of Fractions for 7976/507, 8747/543 is 1/91767.