Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/355,6767/245
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 484,6767
Greatest Common Factor of Numerators i.e. GCF of 484,6767 is 1 .
LCM of Denominators means LCM of 355,245 as per the given fractions.
LCM of 355,245 is 17395 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 484,6767
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 6767
List of positive integer factors of 6767 that divides 6767 without a remainder.
1,67,101,6767
Greatest Common Factor
We found the factors 484,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 484,6767 is 1.
Lets's calculate LCM of 355,245
5 | 355, 245 |
71, 49 |
∴ So the LCM of the given numbers is 5 x 71 x 49 = 17395
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17395
Therefore, the GCF of Fractions 484/355,6767/245 is 1/17395
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 355,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(355,245) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(355,245) x common factors =5 x 1 = 5
LCM(355,245) = ( 355 × 245 ) / 5
LCM(355,245) = 86975 / 5
LCM(355,245) = 17395
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 484/355, 6767/245?
Answer: GCF of Numerators as per given numbers 484/355, 6767/245 is
GCF of Numerators i.e. for 484,6767 is 1
LCM of denominators i.e. for 355,245 is 17395.
Thus, GCF of Fractions is 1/17395.Finally, GCF of Fractions for 484/355, 6767/245 is 1/17395.