GCF of 2344/872, 6140/4794
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2344/872, 6140/4794 i.e 4/2090184 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2344/872, 6140/4794.
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 2344/872,6140/4794?
Given fractions are 2344/872,6140/4794
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 2344/872,6140/4794, numerators are 2344,6140
Denominators are 872,4794
The GCF of 2344,6140 is 4 .
LCM of 872,4794 is 2090184.
The greatest common factor of 2344/872,6140/4794 = [GCF of 2344,6140]/[LCM of 872,4794]= 4/2090184
Therefore, the GCF of 2344/872,6140/4794 is 4/2090184.
To find the highest common factor of 2344,6140, we have to find the factors of both numbers and list the highest common factor.
The factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344
The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140
The HCF of 2344,6140 is 4.
Lets's calculate GCF of 2344,6140
| 2 | 2344, 6140 |
| 2 | 1172, 3070 |
| 586, 1535 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2344,6140 By Matching Biggest Common Factor Method
Now, list down the factors of 2344
:1,2,4,8,293,586,1172,2344
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 2344,6140 . The biggest common factor number is the GCF number.
So the greatest common factor 2344,6140 is 4.
Lets's calculate LCM of 872,4794
| 2 | 872, 4794 |
| 436, 2397 |
∴ So the LCM of the given numbers is 2 x 436 x 2397 = 2090184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2090184
Therefore, the GCF of Fractions 2344/872,6140/4794 is 4/2090184
Least Common Multiple of 872,4794 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 872,4794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,4794) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,4794) x common factors =2 x 1 = 2
LCM(872,4794) = ( 872 × 4794 ) / 2
LCM(872,4794) = 4180368 / 2
LCM(872,4794) = 2090184
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FAQs on GCF of Fractions of 2344/872, 6140/4794
1. What is the HCF of 2344,6140?
The HCF of 2344,6140 is 4
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 2344/872, 6140/4794?
Answer: GCF of Numerators as per given numbers 2344/872, 6140/4794 is
GCF of Numerators i.e. for 2344,6140 is 4
LCM of denominators i.e. for 872,4794 is 2090184.
Thus, GCF of Fractions is 4/2090184.Finally, GCF of Fractions for 2344/872, 6140/4794 is 4/2090184.