GCF of 5644/374, 3386/6092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5644/374, 3386/6092 i.e 2/1139204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5644/374, 3386/6092.
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 5644/374,3386/6092?
Given fractions are 5644/374,3386/6092
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 5644/374,3386/6092, numerators are 5644,3386
Denominators are 374,6092
The GCF of 5644,3386 is 2 .
LCM of 374,6092 is 1139204.
The greatest common factor of 5644/374,3386/6092 = [GCF of 5644,3386]/[LCM of 374,6092]= 2/1139204
Therefore, the GCF of 5644/374,3386/6092 is 2/1139204.
To find the highest common factor of 5644,3386, we have to find the factors of both numbers and list the highest common factor.
The factors of 5644 are 1, 2, 4, 17, 34, 68, 83, 166, 332, 1411, 2822, 5644
The factors of 3386 are 1, 2, 1693, 3386
The HCF of 5644,3386 is 2.
Lets's calculate GCF of 5644,3386
| 2 | 5644, 3386 |
| 2822, 1693 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5644,3386 By Matching Biggest Common Factor Method
Now, list down the factors of 5644
:1,2,4,17,34,68,83,166,332,1411,2822,5644
Now, list down the factors of 3386
:1,2,1693,3386
Greatest Common Factor
We found the factors 5644,3386 . The biggest common factor number is the GCF number.
So the greatest common factor 5644,3386 is 2.
Lets's calculate LCM of 374,6092
| 2 | 374, 6092 |
| 187, 3046 |
∴ So the LCM of the given numbers is 2 x 187 x 3046 = 1139204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1139204
Therefore, the GCF of Fractions 5644/374,3386/6092 is 2/1139204
Least Common Multiple of 374,6092 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 374,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(374,6092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(374,6092) x common factors =2 x 1 = 2
LCM(374,6092) = ( 374 × 6092 ) / 2
LCM(374,6092) = 2278408 / 2
LCM(374,6092) = 1139204
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FAQs on GCF of Fractions of 5644/374, 3386/6092
1. What is the HCF of 5644,3386?
The HCF of 5644,3386 is 2
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 5644/374, 3386/6092?
Answer: GCF of Numerators as per given numbers 5644/374, 3386/6092 is
GCF of Numerators i.e. for 5644,3386 is 2
LCM of denominators i.e. for 374,6092 is 1139204.
Thus, GCF of Fractions is 2/1139204.Finally, GCF of Fractions for 5644/374, 3386/6092 is 2/1139204.