Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4145/30,7278/590
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 4145,7278
Greatest Common Factor of Numerators i.e. GCF of 4145,7278 is 1 .
LCM of Denominators means LCM of 30,590 as per the given fractions.
LCM of 30,590 is 1770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4145,7278
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4145
List of positive integer factors of 4145 that divides 4145 without a remainder.
1,5,829,4145
Factors of 7278
List of positive integer factors of 7278 that divides 7278 without a remainder.
1,2,3,6,1213,2426,3639,7278
Greatest Common Factor
We found the factors 4145,7278 . The biggest common factor number is the GCF number.
So the greatest common factor 4145,7278 is 1.
Lets's calculate LCM of 30,590
2 | 30, 590 |
5 | 15, 295 |
3, 59 |
∴ So the LCM of the given numbers is 2 x 5 x 3 x 59 = 1770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1770
Therefore, the GCF of Fractions 4145/30,7278/590 is 1/1770
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 30,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,590) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(30,590) x common factors =10 x 1 = 10
LCM(30,590) = ( 30 × 590 ) / 10
LCM(30,590) = 17700 / 10
LCM(30,590) = 1770
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 4145/30, 7278/590?
Answer: GCF of Numerators as per given numbers 4145/30, 7278/590 is
GCF of Numerators i.e. for 4145,7278 is 1
LCM of denominators i.e. for 30,590 is 1770.
Thus, GCF of Fractions is 1/1770.Finally, GCF of Fractions for 4145/30, 7278/590 is 1/1770.