Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9528/88,2987/429
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 9528,2987
Greatest Common Factor of Numerators i.e. GCF of 9528,2987 is 1 .
LCM of Denominators means LCM of 88,429 as per the given fractions.
LCM of 88,429 is 3432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9528,2987
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9528
List of positive integer factors of 9528 that divides 9528 without a remainder.
1,2,3,4,6,8,12,24,397,794,1191,1588,2382,3176,4764,9528
Factors of 2987
List of positive integer factors of 2987 that divides 2987 without a remainder.
1,29,103,2987
Greatest Common Factor
We found the factors 9528,2987 . The biggest common factor number is the GCF number.
So the greatest common factor 9528,2987 is 1.
Lets's calculate LCM of 88,429
11 | 88, 429 |
8, 39 |
∴ So the LCM of the given numbers is 11 x 8 x 39 = 3432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3432
Therefore, the GCF of Fractions 9528/88,2987/429 is 1/3432
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 88,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,429) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(88,429) x common factors =11 x 1 = 11
LCM(88,429) = ( 88 × 429 ) / 11
LCM(88,429) = 37752 / 11
LCM(88,429) = 3432
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 9528/88, 2987/429?
Answer: GCF of Numerators as per given numbers 9528/88, 2987/429 is
GCF of Numerators i.e. for 9528,2987 is 1
LCM of denominators i.e. for 88,429 is 3432.
Thus, GCF of Fractions is 1/3432.Finally, GCF of Fractions for 9528/88, 2987/429 is 1/3432.