GCF of 557/96, 232/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 557/96, 232/212 i.e 1/5088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/96, 232/212.
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 557/96,232/212?
Given fractions are 557/96,232/212
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 557/96,232/212, numerators are 557,232
Denominators are 96,212
The GCF of 557,232 is 1 .
LCM of 96,212 is 5088.
The greatest common factor of 557/96,232/212 = [GCF of 557,232]/[LCM of 96,212]= 1/5088
Therefore, the GCF of 557/96,232/212 is 1/5088.
To find the highest common factor of 557,232, we have to find the factors of both numbers and list the highest common factor.
The factors of 557 are 1, 557
The factors of 232 are 1, 2, 4, 8, 29, 58, 116, 232
The HCF of 557,232 is 1.
Lets's calculate GCF of 557,232
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 557,232 By Matching Biggest Common Factor Method
Now, list down the factors of 557
:1,557
Now, list down the factors of 232
:1,2,4,8,29,58,116,232
Greatest Common Factor
We found the factors 557,232 . The biggest common factor number is the GCF number.
So the greatest common factor 557,232 is 1.
Lets's calculate LCM of 96,212
| 2 | 96, 212 |
| 2 | 48, 106 |
| 24, 53 |
∴ So the LCM of the given numbers is 2 x 2 x 24 x 53 = 5088
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5088
Therefore, the GCF of Fractions 557/96,232/212 is 1/5088
Least Common Multiple of 96,212 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 96,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(96,212) x common factors =4 x 1 = 4
LCM(96,212) = ( 96 × 212 ) / 4
LCM(96,212) = 20352 / 4
LCM(96,212) = 5088
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FAQs on GCF of Fractions of 557/96, 232/212
1. What is the HCF of 557,232?
The HCF of 557,232 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 557/96, 232/212?
Answer: GCF of Numerators as per given numbers 557/96, 232/212 is
GCF of Numerators i.e. for 557,232 is 1
LCM of denominators i.e. for 96,212 is 5088.
Thus, GCF of Fractions is 1/5088.Finally, GCF of Fractions for 557/96, 232/212 is 1/5088.