GCF of 2927/744, 5481/7898
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2927/744, 5481/7898 i.e 1/2938056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2927/744, 5481/7898.
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 2927/744,5481/7898?
Given fractions are 2927/744,5481/7898
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 2927/744,5481/7898, numerators are 2927,5481
Denominators are 744,7898
The GCF of 2927,5481 is 1 .
LCM of 744,7898 is 2938056.
The greatest common factor of 2927/744,5481/7898 = [GCF of 2927,5481]/[LCM of 744,7898]= 1/2938056
Therefore, the GCF of 2927/744,5481/7898 is 1/2938056.
To find the highest common factor of 2927,5481, we have to find the factors of both numbers and list the highest common factor.
The factors of 2927 are 1, 2927
The factors of 5481 are 1, 3, 7, 9, 21, 27, 29, 63, 87, 189, 203, 261, 609, 783, 1827, 5481
The HCF of 2927,5481 is 1.
Lets's calculate GCF of 2927,5481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2927,5481 By Matching Biggest Common Factor Method
Now, list down the factors of 2927
:1,2927
Now, list down the factors of 5481
:1,3,7,9,21,27,29,63,87,189,203,261,609,783,1827,5481
Greatest Common Factor
We found the factors 2927,5481 . The biggest common factor number is the GCF number.
So the greatest common factor 2927,5481 is 1.
Lets's calculate LCM of 744,7898
| 2 | 744, 7898 |
| 372, 3949 |
∴ So the LCM of the given numbers is 2 x 372 x 3949 = 2938056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2938056
Therefore, the GCF of Fractions 2927/744,5481/7898 is 1/2938056
Least Common Multiple of 744,7898 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 744,7898 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,7898) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(744,7898) x common factors =2 x 1 = 2
LCM(744,7898) = ( 744 × 7898 ) / 2
LCM(744,7898) = 5876112 / 2
LCM(744,7898) = 2938056
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FAQs on GCF of Fractions of 2927/744, 5481/7898
1. What is the HCF of 2927,5481?
The HCF of 2927,5481 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 2927/744, 5481/7898?
Answer: GCF of Numerators as per given numbers 2927/744, 5481/7898 is
GCF of Numerators i.e. for 2927,5481 is 1
LCM of denominators i.e. for 744,7898 is 2938056.
Thus, GCF of Fractions is 1/2938056.Finally, GCF of Fractions for 2927/744, 5481/7898 is 1/2938056.