Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 745/858,7419/6618
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 745,7419
Greatest Common Factor of Numerators i.e. GCF of 745,7419 is 1 .
LCM of Denominators means LCM of 858,6618 as per the given fractions.
LCM of 858,6618 is 946374 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 745,7419
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 745
List of positive integer factors of 745 that divides 745 without a remainder.
1,5,149,745
Factors of 7419
List of positive integer factors of 7419 that divides 7419 without a remainder.
1,3,2473,7419
Greatest Common Factor
We found the factors 745,7419 . The biggest common factor number is the GCF number.
So the greatest common factor 745,7419 is 1.
Lets's calculate LCM of 858,6618
2 | 858, 6618 |
3 | 429, 3309 |
143, 1103 |
∴ So the LCM of the given numbers is 2 x 3 x 143 x 1103 = 946374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/946374
Therefore, the GCF of Fractions 745/858,7419/6618 is 1/946374
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 858,6618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,6618) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(858,6618) x common factors =6 x 1 = 6
LCM(858,6618) = ( 858 × 6618 ) / 6
LCM(858,6618) = 5678244 / 6
LCM(858,6618) = 946374
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 745/858, 7419/6618?
Answer: GCF of Numerators as per given numbers 745/858, 7419/6618 is
GCF of Numerators i.e. for 745,7419 is 1
LCM of denominators i.e. for 858,6618 is 946374.
Thus, GCF of Fractions is 1/946374.Finally, GCF of Fractions for 745/858, 7419/6618 is 1/946374.