Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 76/135,22/710,618/243
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 76,22,618
Greatest Common Factor of Numerators i.e. GCF of 76,22,618 is 2 .
LCM of Denominators means LCM of 135,710,243 as per the given fractions.
LCM of 135,710,243 is 172530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 76,22,618
2 | 76, 22, 618 |
38, 11, 309 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Greatest Common Factor
We found the factors 76,22,618 . The biggest common factor number is the GCF number.
So the greatest common factor 76,22,618 is 2.
Lets's calculate LCM of 135,710,243
3 | 135, 710, 243 |
3 | 45, 710, 81 |
3 | 15, 710, 27 |
5 | 5, 710, 9 |
1, 142, 9 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 5 x 1 x 142 x 9 = 172530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/172530
Therefore, the GCF of Fractions 76/135,22/710,618/243 is 2/172530
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 135,710,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,710,243) = 1
common factors(in case of two or more numbers have common factors) = 135
GCF(135,710,243) x common factors =1 x 135 = 135
LCM(135,710,243) = ( 135 × 710 × 243 ) / 135
LCM(135,710,243) = 23291550 / 135
LCM(135,710,243) = 172530
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 76/135, 22/710, 618/243?
Answer: GCF of Numerators as per given numbers 76/135, 22/710, 618/243 is
GCF of Numerators i.e. for 76,22,618 is 2
LCM of denominators i.e. for 135,710,243 is 172530.
Thus, GCF of Fractions is 2/172530.Finally, GCF of Fractions for 76/135, 22/710, 618/243 is 2/172530.