Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/4280,958/4124
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 934,958
Greatest Common Factor of Numerators i.e. GCF of 934,958 is 2 .
LCM of Denominators means LCM of 4280,4124 as per the given fractions.
LCM of 4280,4124 is 4412680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,958
2 | 934, 958 |
467, 479 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Greatest Common Factor
We found the factors 934,958 . The biggest common factor number is the GCF number.
So the greatest common factor 934,958 is 2.
Lets's calculate LCM of 4280,4124
2 | 4280, 4124 |
2 | 2140, 2062 |
1070, 1031 |
∴ So the LCM of the given numbers is 2 x 2 x 1070 x 1031 = 4412680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4412680
Therefore, the GCF of Fractions 934/4280,958/4124 is 2/4412680
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 4280,4124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4280,4124) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(4280,4124) x common factors =4 x 1 = 4
LCM(4280,4124) = ( 4280 × 4124 ) / 4
LCM(4280,4124) = 17650720 / 4
LCM(4280,4124) = 4412680
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 934/4280, 958/4124?
Answer: GCF of Numerators as per given numbers 934/4280, 958/4124 is
GCF of Numerators i.e. for 934,958 is 2
LCM of denominators i.e. for 4280,4124 is 4412680.
Thus, GCF of Fractions is 2/4412680.Finally, GCF of Fractions for 934/4280, 958/4124 is 2/4412680.