GCF of 1847/957, 1060/2514
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1847/957, 1060/2514 i.e 1/801966 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1847/957, 1060/2514.
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 1847/957,1060/2514?
Given fractions are 1847/957,1060/2514
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 1847/957,1060/2514, numerators are 1847,1060
Denominators are 957,2514
The GCF of 1847,1060 is 1 .
LCM of 957,2514 is 801966.
The greatest common factor of 1847/957,1060/2514 = [GCF of 1847,1060]/[LCM of 957,2514]= 1/801966
Therefore, the GCF of 1847/957,1060/2514 is 1/801966.
To find the highest common factor of 1847,1060, we have to find the factors of both numbers and list the highest common factor.
The factors of 1847 are 1, 1847
The factors of 1060 are 1, 2, 4, 5, 10, 20, 53, 106, 212, 265, 530, 1060
The HCF of 1847,1060 is 1.
Lets's calculate GCF of 1847,1060
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1847,1060 By Matching Biggest Common Factor Method
Now, list down the factors of 1847
:1,1847
Now, list down the factors of 1060
:1,2,4,5,10,20,53,106,212,265,530,1060
Greatest Common Factor
We found the factors 1847,1060 . The biggest common factor number is the GCF number.
So the greatest common factor 1847,1060 is 1.
Lets's calculate LCM of 957,2514
| 3 | 957, 2514 |
| 319, 838 |
∴ So the LCM of the given numbers is 3 x 319 x 838 = 801966
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/801966
Therefore, the GCF of Fractions 1847/957,1060/2514 is 1/801966
Least Common Multiple of 957,2514 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 957,2514 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(957,2514) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(957,2514) x common factors =3 x 1 = 3
LCM(957,2514) = ( 957 × 2514 ) / 3
LCM(957,2514) = 2405898 / 3
LCM(957,2514) = 801966
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FAQs on GCF of Fractions of 1847/957, 1060/2514
1. What is the HCF of 1847,1060?
The HCF of 1847,1060 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 1847/957, 1060/2514?
Answer: GCF of Numerators as per given numbers 1847/957, 1060/2514 is
GCF of Numerators i.e. for 1847,1060 is 1
LCM of denominators i.e. for 957,2514 is 801966.
Thus, GCF of Fractions is 1/801966.Finally, GCF of Fractions for 1847/957, 1060/2514 is 1/801966.