Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7476/840,2583/6716
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 7476,2583
Greatest Common Factor of Numerators i.e. GCF of 7476,2583 is 21 .
LCM of Denominators means LCM of 840,6716 as per the given fractions.
LCM of 840,6716 is 1410360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7476,2583
3 | 7476, 2583 |
7 | 2492, 861 |
356, 123 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 7476
List of positive integer factors of 7476 that divides 7476 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476
Factors of 2583
List of positive integer factors of 2583 that divides 2583 without a remainder.
1,3,7,9,21,41,63,123,287,369,861,2583
Greatest Common Factor
We found the factors 7476,2583 . The biggest common factor number is the GCF number.
So the greatest common factor 7476,2583 is 21.
Lets's calculate LCM of 840,6716
2 | 840, 6716 |
2 | 420, 3358 |
210, 1679 |
∴ So the LCM of the given numbers is 2 x 2 x 210 x 1679 = 1410360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/1410360
Therefore, the GCF of Fractions 7476/840,2583/6716 is 21/1410360
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 840,6716 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,6716) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(840,6716) x common factors =4 x 1 = 4
LCM(840,6716) = ( 840 × 6716 ) / 4
LCM(840,6716) = 5641440 / 4
LCM(840,6716) = 1410360
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 7476/840, 2583/6716?
Answer: GCF of Numerators as per given numbers 7476/840, 2583/6716 is
GCF of Numerators i.e. for 7476,2583 is 21
LCM of denominators i.e. for 840,6716 is 1410360.
Thus, GCF of Fractions is 21/1410360.Finally, GCF of Fractions for 7476/840, 2583/6716 is 21/1410360.