Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/922,6894/210
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 429,6894
Greatest Common Factor of Numerators i.e. GCF of 429,6894 is 3 .
LCM of Denominators means LCM of 922,210 as per the given fractions.
LCM of 922,210 is 96810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,6894
3 | 429, 6894 |
143, 2298 |
∴ 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 6894
List of positive integer factors of 6894 that divides 6894 without a remainder.
1,2,3,6,9,18,383,766,1149,2298,3447,6894
Greatest Common Factor
We found the factors 429,6894 . The biggest common factor number is the GCF number.
So the greatest common factor 429,6894 is 3.
Lets's calculate LCM of 922,210
2 | 922, 210 |
461, 105 |
∴ So the LCM of the given numbers is 2 x 461 x 105 = 96810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/96810
Therefore, the GCF of Fractions 429/922,6894/210 is 3/96810
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 922,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,210) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,210) x common factors =2 x 1 = 2
LCM(922,210) = ( 922 × 210 ) / 2
LCM(922,210) = 193620 / 2
LCM(922,210) = 96810
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 429/922, 6894/210?
Answer: GCF of Numerators as per given numbers 429/922, 6894/210 is
GCF of Numerators i.e. for 429,6894 is 3
LCM of denominators i.e. for 922,210 is 96810.
Thus, GCF of Fractions is 3/96810.Finally, GCF of Fractions for 429/922, 6894/210 is 3/96810.