Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8567/692,3615/518
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 8567,3615
Greatest Common Factor of Numerators i.e. GCF of 8567,3615 is 1 .
LCM of Denominators means LCM of 692,518 as per the given fractions.
LCM of 692,518 is 179228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8567,3615
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8567
List of positive integer factors of 8567 that divides 8567 without a remainder.
1,13,659,8567
Factors of 3615
List of positive integer factors of 3615 that divides 3615 without a remainder.
1,3,5,15,241,723,1205,3615
Greatest Common Factor
We found the factors 8567,3615 . The biggest common factor number is the GCF number.
So the greatest common factor 8567,3615 is 1.
Lets's calculate LCM of 692,518
2 | 692, 518 |
346, 259 |
∴ So the LCM of the given numbers is 2 x 346 x 259 = 179228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179228
Therefore, the GCF of Fractions 8567/692,3615/518 is 1/179228
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 692,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(692,518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(692,518) x common factors =2 x 1 = 2
LCM(692,518) = ( 692 × 518 ) / 2
LCM(692,518) = 358456 / 2
LCM(692,518) = 179228
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 8567/692, 3615/518?
Answer: GCF of Numerators as per given numbers 8567/692, 3615/518 is
GCF of Numerators i.e. for 8567,3615 is 1
LCM of denominators i.e. for 692,518 is 179228.
Thus, GCF of Fractions is 1/179228.Finally, GCF of Fractions for 8567/692, 3615/518 is 1/179228.