GCF of 5134/658, 4832/228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5134/658, 4832/228 i.e 302/75012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5134/658, 4832/228.
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 5134/658,4832/228?
Given fractions are 5134/658,4832/228
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 5134/658,4832/228, numerators are 5134,4832
Denominators are 658,228
The GCF of 5134,4832 is 302 .
LCM of 658,228 is 75012.
The greatest common factor of 5134/658,4832/228 = [GCF of 5134,4832]/[LCM of 658,228]= 302/75012
Therefore, the GCF of 5134/658,4832/228 is 302/75012.
To find the highest common factor of 5134,4832, we have to find the factors of both numbers and list the highest common factor.
The factors of 5134 are 1, 2, 17, 34, 151, 302, 2567, 5134
The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832
The HCF of 5134,4832 is 302.
Lets's calculate GCF of 5134,4832
| 2 | 5134, 4832 |
| 151 | 2567, 2416 |
| 17, 16 |
∴ So the GCF of the given numbers is 2 x 151 = 302
Greatest Common Factor of 5134,4832 By Matching Biggest Common Factor Method
Now, list down the factors of 5134
:1,2,17,34,151,302,2567,5134
Now, list down the factors of 4832
:1,2,4,8,16,32,151,302,604,1208,2416,4832
Greatest Common Factor
We found the factors 5134,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 5134,4832 is 302.
Lets's calculate LCM of 658,228
| 2 | 658, 228 |
| 329, 114 |
∴ So the LCM of the given numbers is 2 x 329 x 114 = 75012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 302/75012
Therefore, the GCF of Fractions 5134/658,4832/228 is 302/75012
Least Common Multiple of 658,228 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 658,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,228) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(658,228) x common factors =2 x 1 = 2
LCM(658,228) = ( 658 × 228 ) / 2
LCM(658,228) = 150024 / 2
LCM(658,228) = 75012
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5134/658, 4832/228
1. What is the HCF of 5134,4832?
The HCF of 5134,4832 is 302
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 5134/658, 4832/228?
Answer: GCF of Numerators as per given numbers 5134/658, 4832/228 is
GCF of Numerators i.e. for 5134,4832 is 302
LCM of denominators i.e. for 658,228 is 75012.
Thus, GCF of Fractions is 302/75012.Finally, GCF of Fractions for 5134/658, 4832/228 is 302/75012.