Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 424/25,630/169
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 424,630
Greatest Common Factor of Numerators i.e. GCF of 424,630 is 2 .
LCM of Denominators means LCM of 25,169 as per the given fractions.
LCM of 25,169 is 4225 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 424,630
2 | 424, 630 |
212, 315 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 424
List of positive integer factors of 424 that divides 424 without a remainder.
1,2,4,8,53,106,212,424
Factors of 630
List of positive integer factors of 630 that divides 630 without a remainder.
1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630
Greatest Common Factor
We found the factors 424,630 . The biggest common factor number is the GCF number.
So the greatest common factor 424,630 is 2.
Lets's calculate LCM of 25,169
Given numbers has no common factors except 1. So, there LCM is their product i.e 4225
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4225
Therefore, the GCF of Fractions 424/25,630/169 is 2/4225
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 25,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(25,169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(25,169) x common factors =1 x 1 = 1
LCM(25,169) = ( 25 × 169 ) / 1
LCM(25,169) = 4225 / 1
LCM(25,169) = 4225
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 424/25, 630/169?
Answer: GCF of Numerators as per given numbers 424/25, 630/169 is
GCF of Numerators i.e. for 424,630 is 2
LCM of denominators i.e. for 25,169 is 4225.
Thus, GCF of Fractions is 2/4225.Finally, GCF of Fractions for 424/25, 630/169 is 2/4225.