Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 618/79,978/106
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 618,978
Greatest Common Factor of Numerators i.e. GCF of 618,978 is 6 .
LCM of Denominators means LCM of 79,106 as per the given fractions.
LCM of 79,106 is 8374 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 618,978
2 | 618, 978 |
3 | 309, 489 |
103, 163 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 618
List of positive integer factors of 618 that divides 618 without a remainder.
1,2,3,6,103,206,309,618
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Greatest Common Factor
We found the factors 618,978 . The biggest common factor number is the GCF number.
So the greatest common factor 618,978 is 6.
Lets's calculate LCM of 79,106
Given numbers has no common factors except 1. So, there LCM is their product i.e 8374
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/8374
Therefore, the GCF of Fractions 618/79,978/106 is 6/8374
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 79,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,106) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,106) x common factors =1 x 1 = 1
LCM(79,106) = ( 79 × 106 ) / 1
LCM(79,106) = 8374 / 1
LCM(79,106) = 8374
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 618/79, 978/106?
Answer: GCF of Numerators as per given numbers 618/79, 978/106 is
GCF of Numerators i.e. for 618,978 is 6
LCM of denominators i.e. for 79,106 is 8374.
Thus, GCF of Fractions is 6/8374.Finally, GCF of Fractions for 618/79, 978/106 is 6/8374.