Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/66,987/922
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 429,987
Greatest Common Factor of Numerators i.e. GCF of 429,987 is 3 .
LCM of Denominators means LCM of 66,922 as per the given fractions.
LCM of 66,922 is 30426 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,987
3 | 429, 987 |
143, 329 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 429,987 . The biggest common factor number is the GCF number.
So the greatest common factor 429,987 is 3.
Lets's calculate LCM of 66,922
2 | 66, 922 |
33, 461 |
∴ So the LCM of the given numbers is 2 x 33 x 461 = 30426
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30426
Therefore, the GCF of Fractions 429/66,987/922 is 3/30426
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 66,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,922) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,922) x common factors =2 x 1 = 2
LCM(66,922) = ( 66 × 922 ) / 2
LCM(66,922) = 60852 / 2
LCM(66,922) = 30426
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 429/66, 987/922?
Answer: GCF of Numerators as per given numbers 429/66, 987/922 is
GCF of Numerators i.e. for 429,987 is 3
LCM of denominators i.e. for 66,922 is 30426.
Thus, GCF of Fractions is 3/30426.Finally, GCF of Fractions for 429/66, 987/922 is 3/30426.