GCF of 5150/927, 1146/317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5150/927, 1146/317 i.e 2/293859 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5150/927, 1146/317.
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 5150/927,1146/317?
Given fractions are 5150/927,1146/317
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 5150/927,1146/317, numerators are 5150,1146
Denominators are 927,317
The GCF of 5150,1146 is 2 .
LCM of 927,317 is 293859.
The greatest common factor of 5150/927,1146/317 = [GCF of 5150,1146]/[LCM of 927,317]= 2/293859
Therefore, the GCF of 5150/927,1146/317 is 2/293859.
To find the highest common factor of 5150,1146, we have to find the factors of both numbers and list the highest common factor.
The factors of 5150 are 1, 2, 5, 10, 25, 50, 103, 206, 515, 1030, 2575, 5150
The factors of 1146 are 1, 2, 3, 6, 191, 382, 573, 1146
The HCF of 5150,1146 is 2.
Lets's calculate GCF of 5150,1146
| 2 | 5150, 1146 |
| 2575, 573 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5150,1146 By Matching Biggest Common Factor Method
Now, list down the factors of 5150
:1,2,5,10,25,50,103,206,515,1030,2575,5150
Now, list down the factors of 1146
:1,2,3,6,191,382,573,1146
Greatest Common Factor
We found the factors 5150,1146 . The biggest common factor number is the GCF number.
So the greatest common factor 5150,1146 is 2.
Lets's calculate LCM of 927,317
Given numbers has no common factors except 1. So, there LCM is their product i.e 293859
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/293859
Therefore, the GCF of Fractions 5150/927,1146/317 is 2/293859
Least Common Multiple of 927,317 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 927,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(927,317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(927,317) x common factors =1 x 1 = 1
LCM(927,317) = ( 927 × 317 ) / 1
LCM(927,317) = 293859 / 1
LCM(927,317) = 293859
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FAQs on GCF of Fractions of 5150/927, 1146/317
1. What is the HCF of 5150,1146?
The HCF of 5150,1146 is 2
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 5150/927, 1146/317?
Answer: GCF of Numerators as per given numbers 5150/927, 1146/317 is
GCF of Numerators i.e. for 5150,1146 is 2
LCM of denominators i.e. for 927,317 is 293859.
Thus, GCF of Fractions is 2/293859.Finally, GCF of Fractions for 5150/927, 1146/317 is 2/293859.