GCF of 9272/642, 5063/159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9272/642, 5063/159 i.e 61/34026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9272/642, 5063/159.
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 9272/642,5063/159?
Given fractions are 9272/642,5063/159
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 9272/642,5063/159, numerators are 9272,5063
Denominators are 642,159
The GCF of 9272,5063 is 61 .
LCM of 642,159 is 34026.
The greatest common factor of 9272/642,5063/159 = [GCF of 9272,5063]/[LCM of 642,159]= 61/34026
Therefore, the GCF of 9272/642,5063/159 is 61/34026.
To find the highest common factor of 9272,5063, we have to find the factors of both numbers and list the highest common factor.
The factors of 9272 are 1, 2, 4, 8, 19, 38, 61, 76, 122, 152, 244, 488, 1159, 2318, 4636, 9272
The factors of 5063 are 1, 61, 83, 5063
The HCF of 9272,5063 is 61.
Lets's calculate GCF of 9272,5063
| 61 | 9272, 5063 |
| 152, 83 |
∴ So the GCF of the given numbers is 61 = 61
Greatest Common Factor of 9272,5063 By Matching Biggest Common Factor Method
Now, list down the factors of 9272
:1,2,4,8,19,38,61,76,122,152,244,488,1159,2318,4636,9272
Now, list down the factors of 5063
:1,61,83,5063
Greatest Common Factor
We found the factors 9272,5063 . The biggest common factor number is the GCF number.
So the greatest common factor 9272,5063 is 61.
Lets's calculate LCM of 642,159
| 3 | 642, 159 |
| 214, 53 |
∴ So the LCM of the given numbers is 3 x 214 x 53 = 34026
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/34026
Therefore, the GCF of Fractions 9272/642,5063/159 is 61/34026
Least Common Multiple of 642,159 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 642,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,159) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(642,159) x common factors =3 x 1 = 3
LCM(642,159) = ( 642 × 159 ) / 3
LCM(642,159) = 102078 / 3
LCM(642,159) = 34026
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FAQs on GCF of Fractions of 9272/642, 5063/159
1. What is the HCF of 9272,5063?
The HCF of 9272,5063 is 61
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 9272/642, 5063/159?
Answer: GCF of Numerators as per given numbers 9272/642, 5063/159 is
GCF of Numerators i.e. for 9272,5063 is 61
LCM of denominators i.e. for 642,159 is 34026.
Thus, GCF of Fractions is 61/34026.Finally, GCF of Fractions for 9272/642, 5063/159 is 61/34026.