GCF of 2712/386, 4027/2546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2712/386, 4027/2546 i.e 1/491378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2712/386, 4027/2546.
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 2712/386,4027/2546?
Given fractions are 2712/386,4027/2546
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 2712/386,4027/2546, numerators are 2712,4027
Denominators are 386,2546
The GCF of 2712,4027 is 1 .
LCM of 386,2546 is 491378.
The greatest common factor of 2712/386,4027/2546 = [GCF of 2712,4027]/[LCM of 386,2546]= 1/491378
Therefore, the GCF of 2712/386,4027/2546 is 1/491378.
To find the highest common factor of 2712,4027, we have to find the factors of both numbers and list the highest common factor.
The factors of 2712 are 1, 2, 3, 4, 6, 8, 12, 24, 113, 226, 339, 452, 678, 904, 1356, 2712
The factors of 4027 are 1, 4027
The HCF of 2712,4027 is 1.
Lets's calculate GCF of 2712,4027
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2712,4027 By Matching Biggest Common Factor Method
Now, list down the factors of 2712
:1,2,3,4,6,8,12,24,113,226,339,452,678,904,1356,2712
Now, list down the factors of 4027
:1,4027
Greatest Common Factor
We found the factors 2712,4027 . The biggest common factor number is the GCF number.
So the greatest common factor 2712,4027 is 1.
Lets's calculate LCM of 386,2546
| 2 | 386, 2546 |
| 193, 1273 |
∴ So the LCM of the given numbers is 2 x 193 x 1273 = 491378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491378
Therefore, the GCF of Fractions 2712/386,4027/2546 is 1/491378
Least Common Multiple of 386,2546 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 386,2546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,2546) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(386,2546) x common factors =2 x 1 = 2
LCM(386,2546) = ( 386 × 2546 ) / 2
LCM(386,2546) = 982756 / 2
LCM(386,2546) = 491378
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FAQs on GCF of Fractions of 2712/386, 4027/2546
1. What is the HCF of 2712,4027?
The HCF of 2712,4027 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 2712/386, 4027/2546?
Answer: GCF of Numerators as per given numbers 2712/386, 4027/2546 is
GCF of Numerators i.e. for 2712,4027 is 1
LCM of denominators i.e. for 386,2546 is 491378.
Thus, GCF of Fractions is 1/491378.Finally, GCF of Fractions for 2712/386, 4027/2546 is 1/491378.