Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7854/657,2793/1125
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7854,2793
Greatest Common Factor of Numerators i.e. GCF of 7854,2793 is 21 .
LCM of Denominators means LCM of 657,1125 as per the given fractions.
LCM of 657,1125 is 82125 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7854,2793
3 | 7854, 2793 |
7 | 2618, 931 |
374, 133 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 7854
List of positive integer factors of 7854 that divides 7854 without a remainder.
1,2,3,6,7,11,14,17,21,22,33,34,42,51,66,77,102,119,154,187,231,238,357,374,462,561,714,1122,1309,2618,3927,7854
Factors of 2793
List of positive integer factors of 2793 that divides 2793 without a remainder.
1,3,7,19,21,49,57,133,147,399,931,2793
Greatest Common Factor
We found the factors 7854,2793 . The biggest common factor number is the GCF number.
So the greatest common factor 7854,2793 is 21.
Lets's calculate LCM of 657,1125
3 | 657, 1125 |
3 | 219, 375 |
73, 125 |
∴ So the LCM of the given numbers is 3 x 3 x 73 x 125 = 82125
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/82125
Therefore, the GCF of Fractions 7854/657,2793/1125 is 21/82125
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 657,1125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,1125) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(657,1125) x common factors =9 x 1 = 9
LCM(657,1125) = ( 657 × 1125 ) / 9
LCM(657,1125) = 739125 / 9
LCM(657,1125) = 82125
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 7854/657, 2793/1125?
Answer: GCF of Numerators as per given numbers 7854/657, 2793/1125 is
GCF of Numerators i.e. for 7854,2793 is 21
LCM of denominators i.e. for 657,1125 is 82125.
Thus, GCF of Fractions is 21/82125.Finally, GCF of Fractions for 7854/657, 2793/1125 is 21/82125.