GCF of 879/72, 948/57, 557/96
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 879/72, 948/57, 557/96 i.e 1/5472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 879/72, 948/57, 557/96.
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 879/72,948/57,557/96?
Given fractions are 879/72,948/57,557/96
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 879/72,948/57,557/96, numerators are 879,948,557
Denominators are 72,57,96
The GCF of 879,948,557 is 1 .
LCM of 72,57,96 is 5472.
The greatest common factor of 879/72,948/57,557/96 = [GCF of 879,948,557]/[LCM of 72,57,96]= 1/5472
Therefore, the GCF of 879/72,948/57,557/96 is 1/5472.
To find the highest common factor of 879,948,557, we have to find the factors of both numbers and list the highest common factor.
The factors of 879 are 1, 3, 293, 879
The factors of 948 are 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
The factors of 557 are 1, 557
The HCF of 879,948,557 is 1.
Lets's calculate GCF of 879,948,557
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 879,948,557 By Matching Biggest Common Factor Method
Now, list down the factors of 879
:1,3,293,879
Now, list down the factors of 948
:1,2,3,4,6,12,79,158,237,316,474,948
Now, list down the factors of 557
:1,557
Greatest Common Factor
We found the factors 879,948,557 . The biggest common factor number is the GCF number.
So the greatest common factor 879,948,557 is 1.
Lets's calculate LCM of 72,57,96
| 2 | 72, 57, 96 |
| 2 | 36, 57, 48 |
| 2 | 18, 57, 24 |
| 3 | 9, 57, 12 |
| 3, 19, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 19 x 4 = 5472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5472
Therefore, the GCF of Fractions 879/72,948/57,557/96 is 1/5472
Least Common Multiple of 72,57,96 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 72,57,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,57,96) = 3
common factors(in case of two or more numbers have common factors) = 24
GCF(72,57,96) x common factors =3 x 24 = 72
LCM(72,57,96) = ( 72 × 57 × 96 ) / 72
LCM(72,57,96) = 393984 / 72
LCM(72,57,96) = 5472
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FAQs on GCF of Fractions of 879/72, 948/57, 557/96
1. What is the HCF of 879,948,557?
The HCF of 879,948,557 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 879/72, 948/57, 557/96?
Answer: GCF of Numerators as per given numbers 879/72, 948/57, 557/96 is
GCF of Numerators i.e. for 879,948,557 is 1
LCM of denominators i.e. for 72,57,96 is 5472.
Thus, GCF of Fractions is 1/5472.Finally, GCF of Fractions for 879/72, 948/57, 557/96 is 1/5472.