Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9620/364,7268/168
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 9620,7268
Greatest Common Factor of Numerators i.e. GCF of 9620,7268 is 4 .
LCM of Denominators means LCM of 364,168 as per the given fractions.
LCM of 364,168 is 2184 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9620,7268
2 | 9620, 7268 |
2 | 4810, 3634 |
2405, 1817 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 9620
List of positive integer factors of 9620 that divides 9620 without a remainder.
1,2,4,5,10,13,20,26,37,52,65,74,130,148,185,260,370,481,740,962,1924,2405,4810,9620
Factors of 7268
List of positive integer factors of 7268 that divides 7268 without a remainder.
1,2,4,23,46,79,92,158,316,1817,3634,7268
Greatest Common Factor
We found the factors 9620,7268 . The biggest common factor number is the GCF number.
So the greatest common factor 9620,7268 is 4.
Lets's calculate LCM of 364,168
2 | 364, 168 |
2 | 182, 84 |
7 | 91, 42 |
13, 6 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 6 = 2184
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2184
Therefore, the GCF of Fractions 9620/364,7268/168 is 4/2184
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 364,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,168) = 28
common factors(in case of two or more numbers have common factors) = 1
GCF(364,168) x common factors =28 x 1 = 28
LCM(364,168) = ( 364 × 168 ) / 28
LCM(364,168) = 61152 / 28
LCM(364,168) = 2184
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 9620/364, 7268/168?
Answer: GCF of Numerators as per given numbers 9620/364, 7268/168 is
GCF of Numerators i.e. for 9620,7268 is 4
LCM of denominators i.e. for 364,168 is 2184.
Thus, GCF of Fractions is 4/2184.Finally, GCF of Fractions for 9620/364, 7268/168 is 4/2184.