GCF of 2931/839, 7758/4030
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2931/839, 7758/4030 i.e 3/3381170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2931/839, 7758/4030.
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 2931/839,7758/4030?
Given fractions are 2931/839,7758/4030
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 2931/839,7758/4030, numerators are 2931,7758
Denominators are 839,4030
The GCF of 2931,7758 is 3 .
LCM of 839,4030 is 3381170.
The greatest common factor of 2931/839,7758/4030 = [GCF of 2931,7758]/[LCM of 839,4030]= 3/3381170
Therefore, the GCF of 2931/839,7758/4030 is 3/3381170.
To find the highest common factor of 2931,7758, we have to find the factors of both numbers and list the highest common factor.
The factors of 2931 are 1, 3, 977, 2931
The factors of 7758 are 1, 2, 3, 6, 9, 18, 431, 862, 1293, 2586, 3879, 7758
The HCF of 2931,7758 is 3.
Lets's calculate GCF of 2931,7758
| 3 | 2931, 7758 |
| 977, 2586 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2931,7758 By Matching Biggest Common Factor Method
Now, list down the factors of 2931
:1,3,977,2931
Now, list down the factors of 7758
:1,2,3,6,9,18,431,862,1293,2586,3879,7758
Greatest Common Factor
We found the factors 2931,7758 . The biggest common factor number is the GCF number.
So the greatest common factor 2931,7758 is 3.
Lets's calculate LCM of 839,4030
Given numbers has no common factors except 1. So, there LCM is their product i.e 3381170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3381170
Therefore, the GCF of Fractions 2931/839,7758/4030 is 3/3381170
Least Common Multiple of 839,4030 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 839,4030 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,4030) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,4030) x common factors =1 x 1 = 1
LCM(839,4030) = ( 839 × 4030 ) / 1
LCM(839,4030) = 3381170 / 1
LCM(839,4030) = 3381170
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FAQs on GCF of Fractions of 2931/839, 7758/4030
1. What is the HCF of 2931,7758?
The HCF of 2931,7758 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 2931/839, 7758/4030?
Answer: GCF of Numerators as per given numbers 2931/839, 7758/4030 is
GCF of Numerators i.e. for 2931,7758 is 3
LCM of denominators i.e. for 839,4030 is 3381170.
Thus, GCF of Fractions is 3/3381170.Finally, GCF of Fractions for 2931/839, 7758/4030 is 3/3381170.