GCF of 5879/796, 6140/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5879/796, 6140/742 i.e 1/295316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5879/796, 6140/742.
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 5879/796,6140/742?
Given fractions are 5879/796,6140/742
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 5879/796,6140/742, numerators are 5879,6140
Denominators are 796,742
The GCF of 5879,6140 is 1 .
LCM of 796,742 is 295316.
The greatest common factor of 5879/796,6140/742 = [GCF of 5879,6140]/[LCM of 796,742]= 1/295316
Therefore, the GCF of 5879/796,6140/742 is 1/295316.
To find the highest common factor of 5879,6140, we have to find the factors of both numbers and list the highest common factor.
The factors of 5879 are 1, 5879
The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140
The HCF of 5879,6140 is 1.
Lets's calculate GCF of 5879,6140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5879,6140 By Matching Biggest Common Factor Method
Now, list down the factors of 5879
:1,5879
Now, list down the factors of 6140
:1,2,4,5,10,20,307,614,1228,1535,3070,6140
Greatest Common Factor
We found the factors 5879,6140 . The biggest common factor number is the GCF number.
So the greatest common factor 5879,6140 is 1.
Lets's calculate LCM of 796,742
| 2 | 796, 742 |
| 398, 371 |
∴ So the LCM of the given numbers is 2 x 398 x 371 = 295316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295316
Therefore, the GCF of Fractions 5879/796,6140/742 is 1/295316
Least Common Multiple of 796,742 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 796,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(796,742) x common factors =2 x 1 = 2
LCM(796,742) = ( 796 × 742 ) / 2
LCM(796,742) = 590632 / 2
LCM(796,742) = 295316
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FAQs on GCF of Fractions of 5879/796, 6140/742
1. What is the HCF of 5879,6140?
The HCF of 5879,6140 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 5879/796, 6140/742?
Answer: GCF of Numerators as per given numbers 5879/796, 6140/742 is
GCF of Numerators i.e. for 5879,6140 is 1
LCM of denominators i.e. for 796,742 is 295316.
Thus, GCF of Fractions is 1/295316.Finally, GCF of Fractions for 5879/796, 6140/742 is 1/295316.