GCF of 2959/348, 1671/6290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2959/348, 1671/6290 i.e 1/1094460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2959/348, 1671/6290.
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 2959/348,1671/6290?
Given fractions are 2959/348,1671/6290
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 2959/348,1671/6290, numerators are 2959,1671
Denominators are 348,6290
The GCF of 2959,1671 is 1 .
LCM of 348,6290 is 1094460.
The greatest common factor of 2959/348,1671/6290 = [GCF of 2959,1671]/[LCM of 348,6290]= 1/1094460
Therefore, the GCF of 2959/348,1671/6290 is 1/1094460.
To find the highest common factor of 2959,1671, we have to find the factors of both numbers and list the highest common factor.
The factors of 2959 are 1, 11, 269, 2959
The factors of 1671 are 1, 3, 557, 1671
The HCF of 2959,1671 is 1.
Lets's calculate GCF of 2959,1671
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2959,1671 By Matching Biggest Common Factor Method
Now, list down the factors of 2959
:1,11,269,2959
Now, list down the factors of 1671
:1,3,557,1671
Greatest Common Factor
We found the factors 2959,1671 . The biggest common factor number is the GCF number.
So the greatest common factor 2959,1671 is 1.
Lets's calculate LCM of 348,6290
| 2 | 348, 6290 |
| 174, 3145 |
∴ So the LCM of the given numbers is 2 x 174 x 3145 = 1094460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1094460
Therefore, the GCF of Fractions 2959/348,1671/6290 is 1/1094460
Least Common Multiple of 348,6290 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 348,6290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,6290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(348,6290) x common factors =2 x 1 = 2
LCM(348,6290) = ( 348 × 6290 ) / 2
LCM(348,6290) = 2188920 / 2
LCM(348,6290) = 1094460
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FAQs on GCF of Fractions of 2959/348, 1671/6290
1. What is the HCF of 2959,1671?
The HCF of 2959,1671 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 2959/348, 1671/6290?
Answer: GCF of Numerators as per given numbers 2959/348, 1671/6290 is
GCF of Numerators i.e. for 2959,1671 is 1
LCM of denominators i.e. for 348,6290 is 1094460.
Thus, GCF of Fractions is 1/1094460.Finally, GCF of Fractions for 2959/348, 1671/6290 is 1/1094460.