Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6435/68,1370/418
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 6435,1370
Greatest Common Factor of Numerators i.e. GCF of 6435,1370 is 5 .
LCM of Denominators means LCM of 68,418 as per the given fractions.
LCM of 68,418 is 14212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6435,1370
5 | 6435, 1370 |
1287, 274 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 6435
List of positive integer factors of 6435 that divides 6435 without a remainder.
1,3,5,9,11,13,15,33,39,45,55,65,99,117,143,165,195,429,495,585,715,1287,2145,6435
Factors of 1370
List of positive integer factors of 1370 that divides 1370 without a remainder.
1,2,5,10,137,274,685,1370
Greatest Common Factor
We found the factors 6435,1370 . The biggest common factor number is the GCF number.
So the greatest common factor 6435,1370 is 5.
Lets's calculate LCM of 68,418
2 | 68, 418 |
34, 209 |
∴ So the LCM of the given numbers is 2 x 34 x 209 = 14212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/14212
Therefore, the GCF of Fractions 6435/68,1370/418 is 5/14212
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 68,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,418) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(68,418) x common factors =2 x 1 = 2
LCM(68,418) = ( 68 × 418 ) / 2
LCM(68,418) = 28424 / 2
LCM(68,418) = 14212
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 6435/68, 1370/418?
Answer: GCF of Numerators as per given numbers 6435/68, 1370/418 is
GCF of Numerators i.e. for 6435,1370 is 5
LCM of denominators i.e. for 68,418 is 14212.
Thus, GCF of Fractions is 5/14212.Finally, GCF of Fractions for 6435/68, 1370/418 is 5/14212.