GCF of 2913/739, 6837/3614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2913/739, 6837/3614 i.e 3/2670746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2913/739, 6837/3614.
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 2913/739,6837/3614?
Given fractions are 2913/739,6837/3614
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 2913/739,6837/3614, numerators are 2913,6837
Denominators are 739,3614
The GCF of 2913,6837 is 3 .
LCM of 739,3614 is 2670746.
The greatest common factor of 2913/739,6837/3614 = [GCF of 2913,6837]/[LCM of 739,3614]= 3/2670746
Therefore, the GCF of 2913/739,6837/3614 is 3/2670746.
To find the highest common factor of 2913,6837, we have to find the factors of both numbers and list the highest common factor.
The factors of 2913 are 1, 3, 971, 2913
The factors of 6837 are 1, 3, 43, 53, 129, 159, 2279, 6837
The HCF of 2913,6837 is 3.
Lets's calculate GCF of 2913,6837
| 3 | 2913, 6837 |
| 971, 2279 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2913,6837 By Matching Biggest Common Factor Method
Now, list down the factors of 2913
:1,3,971,2913
Now, list down the factors of 6837
:1,3,43,53,129,159,2279,6837
Greatest Common Factor
We found the factors 2913,6837 . The biggest common factor number is the GCF number.
So the greatest common factor 2913,6837 is 3.
Lets's calculate LCM of 739,3614
Given numbers has no common factors except 1. So, there LCM is their product i.e 2670746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2670746
Therefore, the GCF of Fractions 2913/739,6837/3614 is 3/2670746
Least Common Multiple of 739,3614 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 739,3614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,3614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,3614) x common factors =1 x 1 = 1
LCM(739,3614) = ( 739 × 3614 ) / 1
LCM(739,3614) = 2670746 / 1
LCM(739,3614) = 2670746
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FAQs on GCF of Fractions of 2913/739, 6837/3614
1. What is the HCF of 2913,6837?
The HCF of 2913,6837 is 3
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 2913/739, 6837/3614?
Answer: GCF of Numerators as per given numbers 2913/739, 6837/3614 is
GCF of Numerators i.e. for 2913,6837 is 3
LCM of denominators i.e. for 739,3614 is 2670746.
Thus, GCF of Fractions is 3/2670746.Finally, GCF of Fractions for 2913/739, 6837/3614 is 3/2670746.