Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/13,76/77,618/543
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 38,76,618
Greatest Common Factor of Numerators i.e. GCF of 38,76,618 is 2 .
LCM of Denominators means LCM of 13,77,543 as per the given fractions.
LCM of 13,77,543 is 543543 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 38,76,618
2 | 38, 76, 618 |
19, 38, 309 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 76
List of positive integer factors of 76 that divides 76 without a remainder.
1,2,4,19,38,76
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 38,76,618 . The biggest common factor number is the GCF number.
So the greatest common factor 38,76,618 is 2.
Lets's calculate LCM of 13,77,543
Given numbers has no common factors except 1. So, there LCM is their product i.e 543543
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/543543
Therefore, the GCF of Fractions 38/13,76/77,618/543 is 2/543543
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 13,77,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,77,543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,77,543) x common factors =1 x 1 = 1
LCM(13,77,543) = ( 13 × 77 × 543 ) / 1
LCM(13,77,543) = 543543 / 1
LCM(13,77,543) = 543543
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 38/13, 76/77, 618/543?
Answer: GCF of Numerators as per given numbers 38/13, 76/77, 618/543 is
GCF of Numerators i.e. for 38,76,618 is 2
LCM of denominators i.e. for 13,77,543 is 543543.
Thus, GCF of Fractions is 2/543543.Finally, GCF of Fractions for 38/13, 76/77, 618/543 is 2/543543.