Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3560/724,6613/188
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 3560,6613
Greatest Common Factor of Numerators i.e. GCF of 3560,6613 is 1 .
LCM of Denominators means LCM of 724,188 as per the given fractions.
LCM of 724,188 is 34028 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3560,6613
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3560
List of positive integer factors of 3560 that divides 3560 without a remainder.
1,2,4,5,8,10,20,40,89,178,356,445,712,890,1780,3560
Factors of 6613
List of positive integer factors of 6613 that divides 6613 without a remainder.
1,17,389,6613
Greatest Common Factor
We found the factors 3560,6613 . The biggest common factor number is the GCF number.
So the greatest common factor 3560,6613 is 1.
Lets's calculate LCM of 724,188
2 | 724, 188 |
2 | 362, 94 |
181, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 47 = 34028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34028
Therefore, the GCF of Fractions 3560/724,6613/188 is 1/34028
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 724,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,188) x common factors =4 x 1 = 4
LCM(724,188) = ( 724 × 188 ) / 4
LCM(724,188) = 136112 / 4
LCM(724,188) = 34028
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 3560/724, 6613/188?
Answer: GCF of Numerators as per given numbers 3560/724, 6613/188 is
GCF of Numerators i.e. for 3560,6613 is 1
LCM of denominators i.e. for 724,188 is 34028.
Thus, GCF of Fractions is 1/34028.Finally, GCF of Fractions for 3560/724, 6613/188 is 1/34028.