Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8752/767,5373/2549
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 8752,5373
Greatest Common Factor of Numerators i.e. GCF of 8752,5373 is 1 .
LCM of Denominators means LCM of 767,2549 as per the given fractions.
LCM of 767,2549 is 1955083 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8752,5373
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8752
List of positive integer factors of 8752 that divides 8752 without a remainder.
1,2,4,8,16,547,1094,2188,4376,8752
Factors of 5373
List of positive integer factors of 5373 that divides 5373 without a remainder.
1,3,9,27,199,597,1791,5373
Greatest Common Factor
We found the factors 8752,5373 . The biggest common factor number is the GCF number.
So the greatest common factor 8752,5373 is 1.
Lets's calculate LCM of 767,2549
Given numbers has no common factors except 1. So, there LCM is their product i.e 1955083
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1955083
Therefore, the GCF of Fractions 8752/767,5373/2549 is 1/1955083
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 767,2549 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(767,2549) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(767,2549) x common factors =1 x 1 = 1
LCM(767,2549) = ( 767 × 2549 ) / 1
LCM(767,2549) = 1955083 / 1
LCM(767,2549) = 1955083
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 8752/767, 5373/2549?
Answer: GCF of Numerators as per given numbers 8752/767, 5373/2549 is
GCF of Numerators i.e. for 8752,5373 is 1
LCM of denominators i.e. for 767,2549 is 1955083.
Thus, GCF of Fractions is 1/1955083.Finally, GCF of Fractions for 8752/767, 5373/2549 is 1/1955083.