GCF of 2246/539, 5427/5624
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2246/539, 5427/5624 i.e 1/3031336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2246/539, 5427/5624.
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 2246/539,5427/5624?
Given fractions are 2246/539,5427/5624
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 2246/539,5427/5624, numerators are 2246,5427
Denominators are 539,5624
The GCF of 2246,5427 is 1 .
LCM of 539,5624 is 3031336.
The greatest common factor of 2246/539,5427/5624 = [GCF of 2246,5427]/[LCM of 539,5624]= 1/3031336
Therefore, the GCF of 2246/539,5427/5624 is 1/3031336.
To find the highest common factor of 2246,5427, we have to find the factors of both numbers and list the highest common factor.
The factors of 2246 are 1, 2, 1123, 2246
The factors of 5427 are 1, 3, 9, 27, 67, 81, 201, 603, 1809, 5427
The HCF of 2246,5427 is 1.
Lets's calculate GCF of 2246,5427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2246,5427 By Matching Biggest Common Factor Method
Now, list down the factors of 2246
:1,2,1123,2246
Now, list down the factors of 5427
:1,3,9,27,67,81,201,603,1809,5427
Greatest Common Factor
We found the factors 2246,5427 . The biggest common factor number is the GCF number.
So the greatest common factor 2246,5427 is 1.
Lets's calculate LCM of 539,5624
Given numbers has no common factors except 1. So, there LCM is their product i.e 3031336
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3031336
Therefore, the GCF of Fractions 2246/539,5427/5624 is 1/3031336
Least Common Multiple of 539,5624 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 539,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(539,5624) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(539,5624) x common factors =1 x 1 = 1
LCM(539,5624) = ( 539 × 5624 ) / 1
LCM(539,5624) = 3031336 / 1
LCM(539,5624) = 3031336
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FAQs on GCF of Fractions of 2246/539, 5427/5624
1. What is the HCF of 2246,5427?
The HCF of 2246,5427 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 2246/539, 5427/5624?
Answer: GCF of Numerators as per given numbers 2246/539, 5427/5624 is
GCF of Numerators i.e. for 2246,5427 is 1
LCM of denominators i.e. for 539,5624 is 3031336.
Thus, GCF of Fractions is 1/3031336.Finally, GCF of Fractions for 2246/539, 5427/5624 is 1/3031336.