Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6148/85,4412/646
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 6148,4412
Greatest Common Factor of Numerators i.e. GCF of 6148,4412 is 4 .
LCM of Denominators means LCM of 85,646 as per the given fractions.
LCM of 85,646 is 3230 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6148,4412
2 | 6148, 4412 |
2 | 3074, 2206 |
1537, 1103 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6148
List of positive integer factors of 6148 that divides 6148 without a remainder.
1,2,4,29,53,58,106,116,212,1537,3074,6148
Factors of 4412
List of positive integer factors of 4412 that divides 4412 without a remainder.
1,2,4,1103,2206,4412
Greatest Common Factor
We found the factors 6148,4412 . The biggest common factor number is the GCF number.
So the greatest common factor 6148,4412 is 4.
Lets's calculate LCM of 85,646
17 | 85, 646 |
5, 38 |
∴ So the LCM of the given numbers is 17 x 5 x 38 = 3230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3230
Therefore, the GCF of Fractions 6148/85,4412/646 is 4/3230
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 85,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,646) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(85,646) x common factors =17 x 1 = 17
LCM(85,646) = ( 85 × 646 ) / 17
LCM(85,646) = 54910 / 17
LCM(85,646) = 3230
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 6148/85, 4412/646?
Answer: GCF of Numerators as per given numbers 6148/85, 4412/646 is
GCF of Numerators i.e. for 6148,4412 is 4
LCM of denominators i.e. for 85,646 is 3230.
Thus, GCF of Fractions is 4/3230.Finally, GCF of Fractions for 6148/85, 4412/646 is 4/3230.