GCF of 1975/857, 4912/6339
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1975/857, 4912/6339 i.e 1/5432523 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1975/857, 4912/6339.
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 1975/857,4912/6339?
Given fractions are 1975/857,4912/6339
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 1975/857,4912/6339, numerators are 1975,4912
Denominators are 857,6339
The GCF of 1975,4912 is 1 .
LCM of 857,6339 is 5432523.
The greatest common factor of 1975/857,4912/6339 = [GCF of 1975,4912]/[LCM of 857,6339]= 1/5432523
Therefore, the GCF of 1975/857,4912/6339 is 1/5432523.
To find the highest common factor of 1975,4912, we have to find the factors of both numbers and list the highest common factor.
The factors of 1975 are 1, 5, 25, 79, 395, 1975
The factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912
The HCF of 1975,4912 is 1.
Lets's calculate GCF of 1975,4912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1975,4912 By Matching Biggest Common Factor Method
Now, list down the factors of 1975
:1,5,25,79,395,1975
Now, list down the factors of 4912
:1,2,4,8,16,307,614,1228,2456,4912
Greatest Common Factor
We found the factors 1975,4912 . The biggest common factor number is the GCF number.
So the greatest common factor 1975,4912 is 1.
Lets's calculate LCM of 857,6339
Given numbers has no common factors except 1. So, there LCM is their product i.e 5432523
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5432523
Therefore, the GCF of Fractions 1975/857,4912/6339 is 1/5432523
Least Common Multiple of 857,6339 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 857,6339 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(857,6339) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(857,6339) x common factors =1 x 1 = 1
LCM(857,6339) = ( 857 × 6339 ) / 1
LCM(857,6339) = 5432523 / 1
LCM(857,6339) = 5432523
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1975/857, 4912/6339
1. What is the HCF of 1975,4912?
The HCF of 1975,4912 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 1975/857, 4912/6339?
Answer: GCF of Numerators as per given numbers 1975/857, 4912/6339 is
GCF of Numerators i.e. for 1975,4912 is 1
LCM of denominators i.e. for 857,6339 is 5432523.
Thus, GCF of Fractions is 1/5432523.Finally, GCF of Fractions for 1975/857, 4912/6339 is 1/5432523.