GCF of 8912/315, 6173/239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8912/315, 6173/239 i.e 1/75285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8912/315, 6173/239.
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 8912/315,6173/239?
Given fractions are 8912/315,6173/239
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 8912/315,6173/239, numerators are 8912,6173
Denominators are 315,239
The GCF of 8912,6173 is 1 .
LCM of 315,239 is 75285.
The greatest common factor of 8912/315,6173/239 = [GCF of 8912,6173]/[LCM of 315,239]= 1/75285
Therefore, the GCF of 8912/315,6173/239 is 1/75285.
To find the highest common factor of 8912,6173, we have to find the factors of both numbers and list the highest common factor.
The factors of 8912 are 1, 2, 4, 8, 16, 557, 1114, 2228, 4456, 8912
The factors of 6173 are 1, 6173
The HCF of 8912,6173 is 1.
Lets's calculate GCF of 8912,6173
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8912,6173 By Matching Biggest Common Factor Method
Now, list down the factors of 8912
:1,2,4,8,16,557,1114,2228,4456,8912
Now, list down the factors of 6173
:1,6173
Greatest Common Factor
We found the factors 8912,6173 . The biggest common factor number is the GCF number.
So the greatest common factor 8912,6173 is 1.
Lets's calculate LCM of 315,239
Given numbers has no common factors except 1. So, there LCM is their product i.e 75285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75285
Therefore, the GCF of Fractions 8912/315,6173/239 is 1/75285
Least Common Multiple of 315,239 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 315,239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(315,239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(315,239) x common factors =1 x 1 = 1
LCM(315,239) = ( 315 × 239 ) / 1
LCM(315,239) = 75285 / 1
LCM(315,239) = 75285
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FAQs on GCF of Fractions of 8912/315, 6173/239
1. What is the HCF of 8912,6173?
The HCF of 8912,6173 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 8912/315, 6173/239?
Answer: GCF of Numerators as per given numbers 8912/315, 6173/239 is
GCF of Numerators i.e. for 8912,6173 is 1
LCM of denominators i.e. for 315,239 is 75285.
Thus, GCF of Fractions is 1/75285.Finally, GCF of Fractions for 8912/315, 6173/239 is 1/75285.