GCF of 158/96, 344/5209
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 158/96, 344/5209 i.e 2/500064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/96, 344/5209.
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 158/96,344/5209?
Given fractions are 158/96,344/5209
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 158/96,344/5209, numerators are 158,344
Denominators are 96,5209
The GCF of 158,344 is 2 .
LCM of 96,5209 is 500064.
The greatest common factor of 158/96,344/5209 = [GCF of 158,344]/[LCM of 96,5209]= 2/500064
Therefore, the GCF of 158/96,344/5209 is 2/500064.
To find the highest common factor of 158,344, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 344 are 1, 2, 4, 8, 43, 86, 172, 344
The HCF of 158,344 is 2.
Lets's calculate GCF of 158,344
| 2 | 158, 344 |
| 79, 172 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 158,344 By Matching Biggest Common Factor Method
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 344
:1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 158,344 . The biggest common factor number is the GCF number.
So the greatest common factor 158,344 is 2.
Lets's calculate LCM of 96,5209
Given numbers has no common factors except 1. So, there LCM is their product i.e 500064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/500064
Therefore, the GCF of Fractions 158/96,344/5209 is 2/500064
Least Common Multiple of 96,5209 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 96,5209 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,5209) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,5209) x common factors =1 x 1 = 1
LCM(96,5209) = ( 96 × 5209 ) / 1
LCM(96,5209) = 500064 / 1
LCM(96,5209) = 500064
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FAQs on GCF of Fractions of 158/96, 344/5209
1. What is the HCF of 158,344?
The HCF of 158,344 is 2
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 158/96, 344/5209?
Answer: GCF of Numerators as per given numbers 158/96, 344/5209 is
GCF of Numerators i.e. for 158,344 is 2
LCM of denominators i.e. for 96,5209 is 500064.
Thus, GCF of Fractions is 2/500064.Finally, GCF of Fractions for 158/96, 344/5209 is 2/500064.