Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3574/304,4978/6975
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 3574,4978
Greatest Common Factor of Numerators i.e. GCF of 3574,4978 is 2 .
LCM of Denominators means LCM of 304,6975 as per the given fractions.
LCM of 304,6975 is 2120400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3574,4978
2 | 3574, 4978 |
1787, 2489 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3574
List of positive integer factors of 3574 that divides 3574 without a remainder.
1,2,1787,3574
Factors of 4978
List of positive integer factors of 4978 that divides 4978 without a remainder.
1,2,19,38,131,262,2489,4978
Greatest Common Factor
We found the factors 3574,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 3574,4978 is 2.
Lets's calculate LCM of 304,6975
Given numbers has no common factors except 1. So, there LCM is their product i.e 2120400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2120400
Therefore, the GCF of Fractions 3574/304,4978/6975 is 2/2120400
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 304,6975 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(304,6975) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(304,6975) x common factors =1 x 1 = 1
LCM(304,6975) = ( 304 × 6975 ) / 1
LCM(304,6975) = 2120400 / 1
LCM(304,6975) = 2120400
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 3574/304, 4978/6975?
Answer: GCF of Numerators as per given numbers 3574/304, 4978/6975 is
GCF of Numerators i.e. for 3574,4978 is 2
LCM of denominators i.e. for 304,6975 is 2120400.
Thus, GCF of Fractions is 2/2120400.Finally, GCF of Fractions for 3574/304, 4978/6975 is 2/2120400.