GCF of 5112/782, 8134/3111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5112/782, 8134/3111 i.e 2/143106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5112/782, 8134/3111.
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 5112/782,8134/3111?
Given fractions are 5112/782,8134/3111
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 5112/782,8134/3111, numerators are 5112,8134
Denominators are 782,3111
The GCF of 5112,8134 is 2 .
LCM of 782,3111 is 143106.
The greatest common factor of 5112/782,8134/3111 = [GCF of 5112,8134]/[LCM of 782,3111]= 2/143106
Therefore, the GCF of 5112/782,8134/3111 is 2/143106.
To find the highest common factor of 5112,8134, we have to find the factors of both numbers and list the highest common factor.
The factors of 5112 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 71, 72, 142, 213, 284, 426, 568, 639, 852, 1278, 1704, 2556, 5112
The factors of 8134 are 1, 2, 7, 14, 49, 83, 98, 166, 581, 1162, 4067, 8134
The HCF of 5112,8134 is 2.
Lets's calculate GCF of 5112,8134
| 2 | 5112, 8134 |
| 2556, 4067 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5112,8134 By Matching Biggest Common Factor Method
Now, list down the factors of 5112
:1,2,3,4,6,8,9,12,18,24,36,71,72,142,213,284,426,568,639,852,1278,1704,2556,5112
Now, list down the factors of 8134
:1,2,7,14,49,83,98,166,581,1162,4067,8134
Greatest Common Factor
We found the factors 5112,8134 . The biggest common factor number is the GCF number.
So the greatest common factor 5112,8134 is 2.
Lets's calculate LCM of 782,3111
| 17 | 782, 3111 |
| 46, 183 |
∴ So the LCM of the given numbers is 17 x 46 x 183 = 143106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/143106
Therefore, the GCF of Fractions 5112/782,8134/3111 is 2/143106
Least Common Multiple of 782,3111 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 782,3111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(782,3111) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(782,3111) x common factors =17 x 1 = 17
LCM(782,3111) = ( 782 × 3111 ) / 17
LCM(782,3111) = 2432802 / 17
LCM(782,3111) = 143106
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FAQs on GCF of Fractions of 5112/782, 8134/3111
1. What is the HCF of 5112,8134?
The HCF of 5112,8134 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 5112/782, 8134/3111?
Answer: GCF of Numerators as per given numbers 5112/782, 8134/3111 is
GCF of Numerators i.e. for 5112,8134 is 2
LCM of denominators i.e. for 782,3111 is 143106.
Thus, GCF of Fractions is 2/143106.Finally, GCF of Fractions for 5112/782, 8134/3111 is 2/143106.