Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 187/520,294/595
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 187,294
Greatest Common Factor of Numerators i.e. GCF of 187,294 is 1 .
LCM of Denominators means LCM of 520,595 as per the given fractions.
LCM of 520,595 is 61880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 187,294
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 187
List of positive integer factors of 187 that divides 187 without a remainder.
1,11,17,187
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Greatest Common Factor
We found the factors 187,294 . The biggest common factor number is the GCF number.
So the greatest common factor 187,294 is 1.
Lets's calculate LCM of 520,595
5 | 520, 595 |
104, 119 |
∴ So the LCM of the given numbers is 5 x 104 x 119 = 61880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/61880
Therefore, the GCF of Fractions 187/520,294/595 is 1/61880
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 520,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,595) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(520,595) x common factors =5 x 1 = 5
LCM(520,595) = ( 520 × 595 ) / 5
LCM(520,595) = 309400 / 5
LCM(520,595) = 61880
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 187/520, 294/595?
Answer: GCF of Numerators as per given numbers 187/520, 294/595 is
GCF of Numerators i.e. for 187,294 is 1
LCM of denominators i.e. for 520,595 is 61880.
Thus, GCF of Fractions is 1/61880.Finally, GCF of Fractions for 187/520, 294/595 is 1/61880.