Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 21/598,714/592
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 21,714
Greatest Common Factor of Numerators i.e. GCF of 21,714 is 21 .
LCM of Denominators means LCM of 598,592 as per the given fractions.
LCM of 598,592 is 177008 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 21,714
3 | 21, 714 |
7 | 7, 238 |
1, 34 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 21,714 . The biggest common factor number is the GCF number.
So the greatest common factor 21,714 is 21.
Lets's calculate LCM of 598,592
2 | 598, 592 |
299, 296 |
∴ So the LCM of the given numbers is 2 x 299 x 296 = 177008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/177008
Therefore, the GCF of Fractions 21/598,714/592 is 21/177008
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 598,592 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,592) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,592) x common factors =2 x 1 = 2
LCM(598,592) = ( 598 × 592 ) / 2
LCM(598,592) = 354016 / 2
LCM(598,592) = 177008
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 21/598, 714/592?
Answer: GCF of Numerators as per given numbers 21/598, 714/592 is
GCF of Numerators i.e. for 21,714 is 21
LCM of denominators i.e. for 598,592 is 177008.
Thus, GCF of Fractions is 21/177008.Finally, GCF of Fractions for 21/598, 714/592 is 21/177008.