Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 757/567,4985/714
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 757,4985
Greatest Common Factor of Numerators i.e. GCF of 757,4985 is 1 .
LCM of Denominators means LCM of 567,714 as per the given fractions.
LCM of 567,714 is 19278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 757,4985
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 757
List of positive integer factors of 757 that divides 757 without a remainder.
1,757
Factors of 4985
List of positive integer factors of 4985 that divides 4985 without a remainder.
1,5,997,4985
Greatest Common Factor
We found the factors 757,4985 . The biggest common factor number is the GCF number.
So the greatest common factor 757,4985 is 1.
Lets's calculate LCM of 567,714
3 | 567, 714 |
7 | 189, 238 |
27, 34 |
∴ So the LCM of the given numbers is 3 x 7 x 27 x 34 = 19278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19278
Therefore, the GCF of Fractions 757/567,4985/714 is 1/19278
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 567,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,714) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(567,714) x common factors =21 x 1 = 21
LCM(567,714) = ( 567 × 714 ) / 21
LCM(567,714) = 404838 / 21
LCM(567,714) = 19278
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 757/567, 4985/714?
Answer: GCF of Numerators as per given numbers 757/567, 4985/714 is
GCF of Numerators i.e. for 757,4985 is 1
LCM of denominators i.e. for 567,714 is 19278.
Thus, GCF of Fractions is 1/19278.Finally, GCF of Fractions for 757/567, 4985/714 is 1/19278.