Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 854/88,4374/580
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 854,4374
Greatest Common Factor of Numerators i.e. GCF of 854,4374 is 2 .
LCM of Denominators means LCM of 88,580 as per the given fractions.
LCM of 88,580 is 12760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 854,4374
2 | 854, 4374 |
427, 2187 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 4374
List of positive integer factors of 4374 that divides 4374 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374
Greatest Common Factor
We found the factors 854,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 854,4374 is 2.
Lets's calculate LCM of 88,580
2 | 88, 580 |
2 | 44, 290 |
22, 145 |
∴ So the LCM of the given numbers is 2 x 2 x 22 x 145 = 12760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12760
Therefore, the GCF of Fractions 854/88,4374/580 is 2/12760
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 88,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(88,580) x common factors =4 x 1 = 4
LCM(88,580) = ( 88 × 580 ) / 4
LCM(88,580) = 51040 / 4
LCM(88,580) = 12760
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 854/88, 4374/580?
Answer: GCF of Numerators as per given numbers 854/88, 4374/580 is
GCF of Numerators i.e. for 854,4374 is 2
LCM of denominators i.e. for 88,580 is 12760.
Thus, GCF of Fractions is 2/12760.Finally, GCF of Fractions for 854/88, 4374/580 is 2/12760.