Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8508/94,1387/528
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 8508,1387
Greatest Common Factor of Numerators i.e. GCF of 8508,1387 is 1 .
LCM of Denominators means LCM of 94,528 as per the given fractions.
LCM of 94,528 is 24816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8508,1387
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1,2,3,4,6,12,709,1418,2127,2836,4254,8508
Factors of 1387
List of positive integer factors of 1387 that divides 1387 without a remainder.
1,19,73,1387
Greatest Common Factor
We found the factors 8508,1387 . The biggest common factor number is the GCF number.
So the greatest common factor 8508,1387 is 1.
Lets's calculate LCM of 94,528
2 | 94, 528 |
47, 264 |
∴ So the LCM of the given numbers is 2 x 47 x 264 = 24816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24816
Therefore, the GCF of Fractions 8508/94,1387/528 is 1/24816
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 94,528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,528) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(94,528) x common factors =2 x 1 = 2
LCM(94,528) = ( 94 × 528 ) / 2
LCM(94,528) = 49632 / 2
LCM(94,528) = 24816
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 8508/94, 1387/528?
Answer: GCF of Numerators as per given numbers 8508/94, 1387/528 is
GCF of Numerators i.e. for 8508,1387 is 1
LCM of denominators i.e. for 94,528 is 24816.
Thus, GCF of Fractions is 1/24816.Finally, GCF of Fractions for 8508/94, 1387/528 is 1/24816.