GCF of 1116/538, 5114/6092
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1116/538, 5114/6092 i.e 2/1638748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1116/538, 5114/6092.
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 1116/538,5114/6092?
Given fractions are 1116/538,5114/6092
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 1116/538,5114/6092, numerators are 1116,5114
Denominators are 538,6092
The GCF of 1116,5114 is 2 .
LCM of 538,6092 is 1638748.
The greatest common factor of 1116/538,5114/6092 = [GCF of 1116,5114]/[LCM of 538,6092]= 2/1638748
Therefore, the GCF of 1116/538,5114/6092 is 2/1638748.
To find the highest common factor of 1116,5114, we have to find the factors of both numbers and list the highest common factor.
The factors of 1116 are 1, 2, 3, 4, 6, 9, 12, 18, 31, 36, 62, 93, 124, 186, 279, 372, 558, 1116
The factors of 5114 are 1, 2, 2557, 5114
The HCF of 1116,5114 is 2.
Lets's calculate GCF of 1116,5114
| 2 | 1116, 5114 |
| 558, 2557 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1116,5114 By Matching Biggest Common Factor Method
Now, list down the factors of 1116
:1,2,3,4,6,9,12,18,31,36,62,93,124,186,279,372,558,1116
Now, list down the factors of 5114
:1,2,2557,5114
Greatest Common Factor
We found the factors 1116,5114 . The biggest common factor number is the GCF number.
So the greatest common factor 1116,5114 is 2.
Lets's calculate LCM of 538,6092
| 2 | 538, 6092 |
| 269, 3046 |
∴ So the LCM of the given numbers is 2 x 269 x 3046 = 1638748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1638748
Therefore, the GCF of Fractions 1116/538,5114/6092 is 2/1638748
Least Common Multiple of 538,6092 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 538,6092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(538,6092) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(538,6092) x common factors =2 x 1 = 2
LCM(538,6092) = ( 538 × 6092 ) / 2
LCM(538,6092) = 3277496 / 2
LCM(538,6092) = 1638748
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FAQs on GCF of Fractions of 1116/538, 5114/6092
1. What is the HCF of 1116,5114?
The HCF of 1116,5114 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 1116/538, 5114/6092?
Answer: GCF of Numerators as per given numbers 1116/538, 5114/6092 is
GCF of Numerators i.e. for 1116,5114 is 2
LCM of denominators i.e. for 538,6092 is 1638748.
Thus, GCF of Fractions is 2/1638748.Finally, GCF of Fractions for 1116/538, 5114/6092 is 2/1638748.