GCF of 2957/674, 3194/4182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2957/674, 3194/4182 i.e 1/1409334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2957/674, 3194/4182.
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 2957/674,3194/4182?
Given fractions are 2957/674,3194/4182
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 2957/674,3194/4182, numerators are 2957,3194
Denominators are 674,4182
The GCF of 2957,3194 is 1 .
LCM of 674,4182 is 1409334.
The greatest common factor of 2957/674,3194/4182 = [GCF of 2957,3194]/[LCM of 674,4182]= 1/1409334
Therefore, the GCF of 2957/674,3194/4182 is 1/1409334.
To find the highest common factor of 2957,3194, we have to find the factors of both numbers and list the highest common factor.
The factors of 2957 are 1, 2957
The factors of 3194 are 1, 2, 1597, 3194
The HCF of 2957,3194 is 1.
Lets's calculate GCF of 2957,3194
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2957,3194 By Matching Biggest Common Factor Method
Now, list down the factors of 2957
:1,2957
Now, list down the factors of 3194
:1,2,1597,3194
Greatest Common Factor
We found the factors 2957,3194 . The biggest common factor number is the GCF number.
So the greatest common factor 2957,3194 is 1.
Lets's calculate LCM of 674,4182
| 2 | 674, 4182 |
| 337, 2091 |
∴ So the LCM of the given numbers is 2 x 337 x 2091 = 1409334
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1409334
Therefore, the GCF of Fractions 2957/674,3194/4182 is 1/1409334
Least Common Multiple of 674,4182 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 674,4182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,4182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(674,4182) x common factors =2 x 1 = 2
LCM(674,4182) = ( 674 × 4182 ) / 2
LCM(674,4182) = 2818668 / 2
LCM(674,4182) = 1409334
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2957/674, 3194/4182
1. What is the HCF of 2957,3194?
The HCF of 2957,3194 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 2957/674, 3194/4182?
Answer: GCF of Numerators as per given numbers 2957/674, 3194/4182 is
GCF of Numerators i.e. for 2957,3194 is 1
LCM of denominators i.e. for 674,4182 is 1409334.
Thus, GCF of Fractions is 1/1409334.Finally, GCF of Fractions for 2957/674, 3194/4182 is 1/1409334.