GCF of 1031/934, 5130/4146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1031/934, 5130/4146 i.e 1/1936182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1031/934, 5130/4146.
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 1031/934,5130/4146?
Given fractions are 1031/934,5130/4146
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 1031/934,5130/4146, numerators are 1031,5130
Denominators are 934,4146
The GCF of 1031,5130 is 1 .
LCM of 934,4146 is 1936182.
The greatest common factor of 1031/934,5130/4146 = [GCF of 1031,5130]/[LCM of 934,4146]= 1/1936182
Therefore, the GCF of 1031/934,5130/4146 is 1/1936182.
To find the highest common factor of 1031,5130, we have to find the factors of both numbers and list the highest common factor.
The factors of 1031 are 1, 1031
The factors of 5130 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 27, 30, 38, 45, 54, 57, 90, 95, 114, 135, 171, 190, 270, 285, 342, 513, 570, 855, 1026, 1710, 2565, 5130
The HCF of 1031,5130 is 1.
Lets's calculate GCF of 1031,5130
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1031,5130 By Matching Biggest Common Factor Method
Now, list down the factors of 1031
:1,1031
Now, list down the factors of 5130
:1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130
Greatest Common Factor
We found the factors 1031,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 1031,5130 is 1.
Lets's calculate LCM of 934,4146
| 2 | 934, 4146 |
| 467, 2073 |
∴ So the LCM of the given numbers is 2 x 467 x 2073 = 1936182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1936182
Therefore, the GCF of Fractions 1031/934,5130/4146 is 1/1936182
Least Common Multiple of 934,4146 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 934,4146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,4146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,4146) x common factors =2 x 1 = 2
LCM(934,4146) = ( 934 × 4146 ) / 2
LCM(934,4146) = 3872364 / 2
LCM(934,4146) = 1936182
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FAQs on GCF of Fractions of 1031/934, 5130/4146
1. What is the HCF of 1031,5130?
The HCF of 1031,5130 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 1031/934, 5130/4146?
Answer: GCF of Numerators as per given numbers 1031/934, 5130/4146 is
GCF of Numerators i.e. for 1031,5130 is 1
LCM of denominators i.e. for 934,4146 is 1936182.
Thus, GCF of Fractions is 1/1936182.Finally, GCF of Fractions for 1031/934, 5130/4146 is 1/1936182.