Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7434/617,6382/108
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 7434,6382
Greatest Common Factor of Numerators i.e. GCF of 7434,6382 is 2 .
LCM of Denominators means LCM of 617,108 as per the given fractions.
LCM of 617,108 is 66636 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7434,6382
2 | 7434, 6382 |
3717, 3191 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 7434
List of positive integer factors of 7434 that divides 7434 without a remainder.
1,2,3,6,7,9,14,18,21,42,59,63,118,126,177,354,413,531,826,1062,1239,2478,3717,7434
Factors of 6382
List of positive integer factors of 6382 that divides 6382 without a remainder.
1,2,3191,6382
Greatest Common Factor
We found the factors 7434,6382 . The biggest common factor number is the GCF number.
So the greatest common factor 7434,6382 is 2.
Lets's calculate LCM of 617,108
Given numbers has no common factors except 1. So, there LCM is their product i.e 66636
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66636
Therefore, the GCF of Fractions 7434/617,6382/108 is 2/66636
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 617,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,108) x common factors =1 x 1 = 1
LCM(617,108) = ( 617 × 108 ) / 1
LCM(617,108) = 66636 / 1
LCM(617,108) = 66636
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 7434/617, 6382/108?
Answer: GCF of Numerators as per given numbers 7434/617, 6382/108 is
GCF of Numerators i.e. for 7434,6382 is 2
LCM of denominators i.e. for 617,108 is 66636.
Thus, GCF of Fractions is 2/66636.Finally, GCF of Fractions for 7434/617, 6382/108 is 2/66636.