Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7978/908,6717/3664
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 7978,6717
Greatest Common Factor of Numerators i.e. GCF of 7978,6717 is 1 .
LCM of Denominators means LCM of 908,3664 as per the given fractions.
LCM of 908,3664 is 831728 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7978,6717
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7978
List of positive integer factors of 7978 that divides 7978 without a remainder.
1,2,3989,7978
Factors of 6717
List of positive integer factors of 6717 that divides 6717 without a remainder.
1,3,2239,6717
Greatest Common Factor
We found the factors 7978,6717 . The biggest common factor number is the GCF number.
So the greatest common factor 7978,6717 is 1.
Lets's calculate LCM of 908,3664
2 | 908, 3664 |
2 | 454, 1832 |
227, 916 |
∴ So the LCM of the given numbers is 2 x 2 x 227 x 916 = 831728
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/831728
Therefore, the GCF of Fractions 7978/908,6717/3664 is 1/831728
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 908,3664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(908,3664) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(908,3664) x common factors =4 x 1 = 4
LCM(908,3664) = ( 908 × 3664 ) / 4
LCM(908,3664) = 3326912 / 4
LCM(908,3664) = 831728
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 7978/908, 6717/3664?
Answer: GCF of Numerators as per given numbers 7978/908, 6717/3664 is
GCF of Numerators i.e. for 7978,6717 is 1
LCM of denominators i.e. for 908,3664 is 831728.
Thus, GCF of Fractions is 1/831728.Finally, GCF of Fractions for 7978/908, 6717/3664 is 1/831728.