GCF of 5438/311, 2556/6183
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5438/311, 2556/6183 i.e 2/1922913 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5438/311, 2556/6183.
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 5438/311,2556/6183?
Given fractions are 5438/311,2556/6183
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 5438/311,2556/6183, numerators are 5438,2556
Denominators are 311,6183
The GCF of 5438,2556 is 2 .
LCM of 311,6183 is 1922913.
The greatest common factor of 5438/311,2556/6183 = [GCF of 5438,2556]/[LCM of 311,6183]= 2/1922913
Therefore, the GCF of 5438/311,2556/6183 is 2/1922913.
To find the highest common factor of 5438,2556, we have to find the factors of both numbers and list the highest common factor.
The factors of 5438 are 1, 2, 2719, 5438
The factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278, 2556
The HCF of 5438,2556 is 2.
Lets's calculate GCF of 5438,2556
| 2 | 5438, 2556 |
| 2719, 1278 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5438,2556 By Matching Biggest Common Factor Method
Now, list down the factors of 5438
:1,2,2719,5438
Now, list down the factors of 2556
:1,2,3,4,6,9,12,18,36,71,142,213,284,426,639,852,1278,2556
Greatest Common Factor
We found the factors 5438,2556 . The biggest common factor number is the GCF number.
So the greatest common factor 5438,2556 is 2.
Lets's calculate LCM of 311,6183
Given numbers has no common factors except 1. So, there LCM is their product i.e 1922913
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1922913
Therefore, the GCF of Fractions 5438/311,2556/6183 is 2/1922913
Least Common Multiple of 311,6183 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 311,6183 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,6183) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,6183) x common factors =1 x 1 = 1
LCM(311,6183) = ( 311 × 6183 ) / 1
LCM(311,6183) = 1922913 / 1
LCM(311,6183) = 1922913
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FAQs on GCF of Fractions of 5438/311, 2556/6183
1. What is the HCF of 5438,2556?
The HCF of 5438,2556 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 5438/311, 2556/6183?
Answer: GCF of Numerators as per given numbers 5438/311, 2556/6183 is
GCF of Numerators i.e. for 5438,2556 is 2
LCM of denominators i.e. for 311,6183 is 1922913.
Thus, GCF of Fractions is 2/1922913.Finally, GCF of Fractions for 5438/311, 2556/6183 is 2/1922913.