Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/50,196/1370
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 779,196
Greatest Common Factor of Numerators i.e. GCF of 779,196 is 1 .
LCM of Denominators means LCM of 50,1370 as per the given fractions.
LCM of 50,1370 is 6850 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,196
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Greatest Common Factor
We found the factors 779,196 . The biggest common factor number is the GCF number.
So the greatest common factor 779,196 is 1.
Lets's calculate LCM of 50,1370
2 | 50, 1370 |
5 | 25, 685 |
5, 137 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 137 = 6850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6850
Therefore, the GCF of Fractions 779/50,196/1370 is 1/6850
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 50,1370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,1370) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(50,1370) x common factors =10 x 1 = 10
LCM(50,1370) = ( 50 × 1370 ) / 10
LCM(50,1370) = 68500 / 10
LCM(50,1370) = 6850
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 779/50, 196/1370?
Answer: GCF of Numerators as per given numbers 779/50, 196/1370 is
GCF of Numerators i.e. for 779,196 is 1
LCM of denominators i.e. for 50,1370 is 6850.
Thus, GCF of Fractions is 1/6850.Finally, GCF of Fractions for 779/50, 196/1370 is 1/6850.