Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 294/724,9526/613
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 294,9526
Greatest Common Factor of Numerators i.e. GCF of 294,9526 is 2 .
LCM of Denominators means LCM of 724,613 as per the given fractions.
LCM of 724,613 is 443812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 294,9526
2 | 294, 9526 |
147, 4763 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 294
List of positive integer factors of 294 that divides 294 without a remainder.
1,2,3,6,7,14,21,42,49,98,147,294
Factors of 9526
List of positive integer factors of 9526 that divides 9526 without a remainder.
1,2,11,22,433,866,4763,9526
Greatest Common Factor
We found the factors 294,9526 . The biggest common factor number is the GCF number.
So the greatest common factor 294,9526 is 2.
Lets's calculate LCM of 724,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 443812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/443812
Therefore, the GCF of Fractions 294/724,9526/613 is 2/443812
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 724,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(724,613) x common factors =1 x 1 = 1
LCM(724,613) = ( 724 × 613 ) / 1
LCM(724,613) = 443812 / 1
LCM(724,613) = 443812
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 294/724, 9526/613?
Answer: GCF of Numerators as per given numbers 294/724, 9526/613 is
GCF of Numerators i.e. for 294,9526 is 2
LCM of denominators i.e. for 724,613 is 443812.
Thus, GCF of Fractions is 2/443812.Finally, GCF of Fractions for 294/724, 9526/613 is 2/443812.