GCF of 2694/174, 4255/9637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2694/174, 4255/9637 i.e 1/1676838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2694/174, 4255/9637.
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 2694/174,4255/9637?
Given fractions are 2694/174,4255/9637
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 2694/174,4255/9637, numerators are 2694,4255
Denominators are 174,9637
The GCF of 2694,4255 is 1 .
LCM of 174,9637 is 1676838.
The greatest common factor of 2694/174,4255/9637 = [GCF of 2694,4255]/[LCM of 174,9637]= 1/1676838
Therefore, the GCF of 2694/174,4255/9637 is 1/1676838.
To find the highest common factor of 2694,4255, we have to find the factors of both numbers and list the highest common factor.
The factors of 2694 are 1, 2, 3, 6, 449, 898, 1347, 2694
The factors of 4255 are 1, 5, 23, 37, 115, 185, 851, 4255
The HCF of 2694,4255 is 1.
Lets's calculate GCF of 2694,4255
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2694,4255 By Matching Biggest Common Factor Method
Now, list down the factors of 2694
:1,2,3,6,449,898,1347,2694
Now, list down the factors of 4255
:1,5,23,37,115,185,851,4255
Greatest Common Factor
We found the factors 2694,4255 . The biggest common factor number is the GCF number.
So the greatest common factor 2694,4255 is 1.
Lets's calculate LCM of 174,9637
Given numbers has no common factors except 1. So, there LCM is their product i.e 1676838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1676838
Therefore, the GCF of Fractions 2694/174,4255/9637 is 1/1676838
Least Common Multiple of 174,9637 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 174,9637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,9637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(174,9637) x common factors =1 x 1 = 1
LCM(174,9637) = ( 174 × 9637 ) / 1
LCM(174,9637) = 1676838 / 1
LCM(174,9637) = 1676838
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FAQs on GCF of Fractions of 2694/174, 4255/9637
1. What is the HCF of 2694,4255?
The HCF of 2694,4255 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 2694/174, 4255/9637?
Answer: GCF of Numerators as per given numbers 2694/174, 4255/9637 is
GCF of Numerators i.e. for 2694,4255 is 1
LCM of denominators i.e. for 174,9637 is 1676838.
Thus, GCF of Fractions is 1/1676838.Finally, GCF of Fractions for 2694/174, 4255/9637 is 1/1676838.