Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 354/2947,642/7705
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 354,642
Greatest Common Factor of Numerators i.e. GCF of 354,642 is 6 .
LCM of Denominators means LCM of 2947,7705 as per the given fractions.
LCM of 2947,7705 is 22706635 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 354,642
2 | 354, 642 |
3 | 177, 321 |
59, 107 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
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 354,642 . The biggest common factor number is the GCF number.
So the greatest common factor 354,642 is 6.
Lets's calculate LCM of 2947,7705
Given numbers has no common factors except 1. So, there LCM is their product i.e 22706635
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/22706635
Therefore, the GCF of Fractions 354/2947,642/7705 is 6/22706635
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 2947,7705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2947,7705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2947,7705) x common factors =1 x 1 = 1
LCM(2947,7705) = ( 2947 × 7705 ) / 1
LCM(2947,7705) = 22706635 / 1
LCM(2947,7705) = 22706635
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 354/2947, 642/7705?
Answer: GCF of Numerators as per given numbers 354/2947, 642/7705 is
GCF of Numerators i.e. for 354,642 is 6
LCM of denominators i.e. for 2947,7705 is 22706635.
Thus, GCF of Fractions is 6/22706635.Finally, GCF of Fractions for 354/2947, 642/7705 is 6/22706635.