Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5641/156,6053/6074
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 5641,6053
Greatest Common Factor of Numerators i.e. GCF of 5641,6053 is 1 .
LCM of Denominators means LCM of 156,6074 as per the given fractions.
LCM of 156,6074 is 473772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5641,6053
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5641
List of positive integer factors of 5641 that divides 5641 without a remainder.
1,5641
Factors of 6053
List of positive integer factors of 6053 that divides 6053 without a remainder.
1,6053
Greatest Common Factor
We found the factors 5641,6053 . The biggest common factor number is the GCF number.
So the greatest common factor 5641,6053 is 1.
Lets's calculate LCM of 156,6074
2 | 156, 6074 |
78, 3037 |
∴ So the LCM of the given numbers is 2 x 78 x 3037 = 473772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/473772
Therefore, the GCF of Fractions 5641/156,6053/6074 is 1/473772
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 156,6074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,6074) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,6074) x common factors =2 x 1 = 2
LCM(156,6074) = ( 156 × 6074 ) / 2
LCM(156,6074) = 947544 / 2
LCM(156,6074) = 473772
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 5641/156, 6053/6074?
Answer: GCF of Numerators as per given numbers 5641/156, 6053/6074 is
GCF of Numerators i.e. for 5641,6053 is 1
LCM of denominators i.e. for 156,6074 is 473772.
Thus, GCF of Fractions is 1/473772.Finally, GCF of Fractions for 5641/156, 6053/6074 is 1/473772.