Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 756/955,642/196
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 756,642
Greatest Common Factor of Numerators i.e. GCF of 756,642 is 6 .
LCM of Denominators means LCM of 955,196 as per the given fractions.
LCM of 955,196 is 187180 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 756,642
2 | 756, 642 |
3 | 378, 321 |
126, 107 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 642
List of positive integer factors of 642 that divides 642 without a remainder.
1,2,3,6,107,214,321,642
Greatest Common Factor
We found the factors 756,642 . The biggest common factor number is the GCF number.
So the greatest common factor 756,642 is 6.
Lets's calculate LCM of 955,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 187180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/187180
Therefore, the GCF of Fractions 756/955,642/196 is 6/187180
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 955,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,196) x common factors =1 x 1 = 1
LCM(955,196) = ( 955 × 196 ) / 1
LCM(955,196) = 187180 / 1
LCM(955,196) = 187180
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 756/955, 642/196?
Answer: GCF of Numerators as per given numbers 756/955, 642/196 is
GCF of Numerators i.e. for 756,642 is 6
LCM of denominators i.e. for 955,196 is 187180.
Thus, GCF of Fractions is 6/187180.Finally, GCF of Fractions for 756/955, 642/196 is 6/187180.