Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/30,94/83,54/292,628/317
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 6,94,54,628
Greatest Common Factor of Numerators i.e. GCF of 6,94,54,628 is 2 .
LCM of Denominators means LCM of 30,83,292,317 as per the given fractions.
LCM of 30,83,292,317 is 115242180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,94,54,628
2 | 6, 94, 54, 628 |
3, 47, 27, 314 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 628
List of positive integer factors of 628 that divides 628 without a remainder.
1,2,4,157,314,628
Greatest Common Factor
We found the factors 6,94,54,628 . The biggest common factor number is the GCF number.
So the greatest common factor 6,94,54,628 is 2.
Lets's calculate LCM of 30,83,292,317
2 | 30, 83, 292, 317 |
15, 83, 146, 317 |
∴ So the LCM of the given numbers is 2 x 15 x 83 x 146 x 317 = 115242180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/115242180
Therefore, the GCF of Fractions 6/30,94/83,54/292,628/317 is 2/115242180
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 30,83,292,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,83,292,317) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,83,292,317) x common factors =1 x 2 = 2
LCM(30,83,292,317) = ( 30 × 83 × 292 × 317 ) / 2
LCM(30,83,292,317) = 230484360 / 2
LCM(30,83,292,317) = 115242180
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 6/30, 94/83, 54/292, 628/317?
Answer: GCF of Numerators as per given numbers 6/30, 94/83, 54/292, 628/317 is
GCF of Numerators i.e. for 6,94,54,628 is 2
LCM of denominators i.e. for 30,83,292,317 is 115242180.
Thus, GCF of Fractions is 2/115242180.Finally, GCF of Fractions for 6/30, 94/83, 54/292, 628/317 is 2/115242180.