Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7595/26,3472/290
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 7595,3472
Greatest Common Factor of Numerators i.e. GCF of 7595,3472 is 217 .
LCM of Denominators means LCM of 26,290 as per the given fractions.
LCM of 26,290 is 3770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7595,3472
7 | 7595, 3472 |
31 | 1085, 496 |
35, 16 |
∴ So the GCF of the given numbers is 7 x 31 = 217
Factors of 7595
List of positive integer factors of 7595 that divides 7595 without a remainder.
1,5,7,31,35,49,155,217,245,1085,1519,7595
Factors of 3472
List of positive integer factors of 3472 that divides 3472 without a remainder.
1,2,4,7,8,14,16,28,31,56,62,112,124,217,248,434,496,868,1736,3472
Greatest Common Factor
We found the factors 7595,3472 . The biggest common factor number is the GCF number.
So the greatest common factor 7595,3472 is 217.
Lets's calculate LCM of 26,290
2 | 26, 290 |
13, 145 |
∴ So the LCM of the given numbers is 2 x 13 x 145 = 3770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 217/3770
Therefore, the GCF of Fractions 7595/26,3472/290 is 217/3770
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 26,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(26,290) x common factors =2 x 1 = 2
LCM(26,290) = ( 26 × 290 ) / 2
LCM(26,290) = 7540 / 2
LCM(26,290) = 3770
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 7595/26, 3472/290?
Answer: GCF of Numerators as per given numbers 7595/26, 3472/290 is
GCF of Numerators i.e. for 7595,3472 is 217
LCM of denominators i.e. for 26,290 is 3770.
Thus, GCF of Fractions is 217/3770.Finally, GCF of Fractions for 7595/26, 3472/290 is 217/3770.