Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9229/50,2520/316
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 9229,2520
Greatest Common Factor of Numerators i.e. GCF of 9229,2520 is 1 .
LCM of Denominators means LCM of 50,316 as per the given fractions.
LCM of 50,316 is 7900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9229,2520
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9229
List of positive integer factors of 9229 that divides 9229 without a remainder.
1,11,839,9229
Factors of 2520
List of positive integer factors of 2520 that divides 2520 without a remainder.
1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,28,30,35,36,40,42,45,56,60,63,70,72,84,90,105,120,126,140,168,180,210,252,280,315,360,420,504,630,840,1260,2520
Greatest Common Factor
We found the factors 9229,2520 . The biggest common factor number is the GCF number.
So the greatest common factor 9229,2520 is 1.
Lets's calculate LCM of 50,316
2 | 50, 316 |
25, 158 |
∴ So the LCM of the given numbers is 2 x 25 x 158 = 7900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7900
Therefore, the GCF of Fractions 9229/50,2520/316 is 1/7900
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 50,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,316) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(50,316) x common factors =2 x 1 = 2
LCM(50,316) = ( 50 × 316 ) / 2
LCM(50,316) = 15800 / 2
LCM(50,316) = 7900
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 9229/50, 2520/316?
Answer: GCF of Numerators as per given numbers 9229/50, 2520/316 is
GCF of Numerators i.e. for 9229,2520 is 1
LCM of denominators i.e. for 50,316 is 7900.
Thus, GCF of Fractions is 1/7900.Finally, GCF of Fractions for 9229/50, 2520/316 is 1/7900.