Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 873/110,7365/6380
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 873,7365
Greatest Common Factor of Numerators i.e. GCF of 873,7365 is 3 .
LCM of Denominators means LCM of 110,6380 as per the given fractions.
LCM of 110,6380 is 6380 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 873,7365
3 | 873, 7365 |
291, 2455 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 873
List of positive integer factors of 873 that divides 873 without a remainder.
1,3,9,97,291,873
Factors of 7365
List of positive integer factors of 7365 that divides 7365 without a remainder.
1,3,5,15,491,1473,2455,7365
Greatest Common Factor
We found the factors 873,7365 . The biggest common factor number is the GCF number.
So the greatest common factor 873,7365 is 3.
Lets's calculate LCM of 110,6380
2 | 110, 6380 |
5 | 55, 3190 |
11 | 11, 638 |
1, 58 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 1 x 58 = 6380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6380
Therefore, the GCF of Fractions 873/110,7365/6380 is 3/6380
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 110,6380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,6380) = 110
common factors(in case of two or more numbers have common factors) = 1
GCF(110,6380) x common factors =110 x 1 = 110
LCM(110,6380) = ( 110 × 6380 ) / 110
LCM(110,6380) = 701800 / 110
LCM(110,6380) = 6380
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 873/110, 7365/6380?
Answer: GCF of Numerators as per given numbers 873/110, 7365/6380 is
GCF of Numerators i.e. for 873,7365 is 3
LCM of denominators i.e. for 110,6380 is 6380.
Thus, GCF of Fractions is 3/6380.Finally, GCF of Fractions for 873/110, 7365/6380 is 3/6380.