Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4334/63,2948/745
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 4334,2948
Greatest Common Factor of Numerators i.e. GCF of 4334,2948 is 22 .
LCM of Denominators means LCM of 63,745 as per the given fractions.
LCM of 63,745 is 46935 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4334,2948
2 | 4334, 2948 |
11 | 2167, 1474 |
197, 134 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 4334
List of positive integer factors of 4334 that divides 4334 without a remainder.
1,2,11,22,197,394,2167,4334
Factors of 2948
List of positive integer factors of 2948 that divides 2948 without a remainder.
1,2,4,11,22,44,67,134,268,737,1474,2948
Greatest Common Factor
We found the factors 4334,2948 . The biggest common factor number is the GCF number.
So the greatest common factor 4334,2948 is 22.
Lets's calculate LCM of 63,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 46935
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/46935
Therefore, the GCF of Fractions 4334/63,2948/745 is 22/46935
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 63,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,745) x common factors =1 x 1 = 1
LCM(63,745) = ( 63 × 745 ) / 1
LCM(63,745) = 46935 / 1
LCM(63,745) = 46935
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 4334/63, 2948/745?
Answer: GCF of Numerators as per given numbers 4334/63, 2948/745 is
GCF of Numerators i.e. for 4334,2948 is 22
LCM of denominators i.e. for 63,745 is 46935.
Thus, GCF of Fractions is 22/46935.Finally, GCF of Fractions for 4334/63, 2948/745 is 22/46935.