GCF of 5427/498, 3914/6086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5427/498, 3914/6086 i.e 1/1515414 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5427/498, 3914/6086.
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 5427/498,3914/6086?
Given fractions are 5427/498,3914/6086
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 5427/498,3914/6086, numerators are 5427,3914
Denominators are 498,6086
The GCF of 5427,3914 is 1 .
LCM of 498,6086 is 1515414.
The greatest common factor of 5427/498,3914/6086 = [GCF of 5427,3914]/[LCM of 498,6086]= 1/1515414
Therefore, the GCF of 5427/498,3914/6086 is 1/1515414.
To find the highest common factor of 5427,3914, we have to find the factors of both numbers and list the highest common factor.
The factors of 5427 are 1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427
The factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914
The HCF of 5427,3914 is 1.
Lets's calculate GCF of 5427,3914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5427,3914 By Matching Biggest Common Factor Method
Now, list down the factors of 5427
:1,3,9,27,67,81,201,603,1809,5427
Now, list down the factors of 3914
:1,2,19,38,103,206,1957,3914
Greatest Common Factor
We found the factors 5427,3914 . The biggest common factor number is the GCF number.
So the greatest common factor 5427,3914 is 1.
Lets's calculate LCM of 498,6086
| 2 | 498, 6086 |
| 249, 3043 |
∴ So the LCM of the given numbers is 2 x 249 x 3043 = 1515414
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1515414
Therefore, the GCF of Fractions 5427/498,3914/6086 is 1/1515414
Least Common Multiple of 498,6086 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 498,6086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,6086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,6086) x common factors =2 x 1 = 2
LCM(498,6086) = ( 498 × 6086 ) / 2
LCM(498,6086) = 3030828 / 2
LCM(498,6086) = 1515414
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FAQs on GCF of Fractions of 5427/498, 3914/6086
1. What is the HCF of 5427,3914?
The HCF of 5427,3914 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 5427/498, 3914/6086?
Answer: GCF of Numerators as per given numbers 5427/498, 3914/6086 is
GCF of Numerators i.e. for 5427,3914 is 1
LCM of denominators i.e. for 498,6086 is 1515414.
Thus, GCF of Fractions is 1/1515414.Finally, GCF of Fractions for 5427/498, 3914/6086 is 1/1515414.