Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7074/177,2238/203
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 7074,2238
Greatest Common Factor of Numerators i.e. GCF of 7074,2238 is 6 .
LCM of Denominators means LCM of 177,203 as per the given fractions.
LCM of 177,203 is 35931 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7074,2238
2 | 7074, 2238 |
3 | 3537, 1119 |
1179, 373 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 7074
List of positive integer factors of 7074 that divides 7074 without a remainder.
1,2,3,6,9,18,27,54,131,262,393,786,1179,2358,3537,7074
Factors of 2238
List of positive integer factors of 2238 that divides 2238 without a remainder.
1,2,3,6,373,746,1119,2238
Greatest Common Factor
We found the factors 7074,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 7074,2238 is 6.
Lets's calculate LCM of 177,203
Given numbers has no common factors except 1. So, there LCM is their product i.e 35931
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/35931
Therefore, the GCF of Fractions 7074/177,2238/203 is 6/35931
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 177,203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(177,203) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(177,203) x common factors =1 x 1 = 1
LCM(177,203) = ( 177 × 203 ) / 1
LCM(177,203) = 35931 / 1
LCM(177,203) = 35931
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 7074/177, 2238/203?
Answer: GCF of Numerators as per given numbers 7074/177, 2238/203 is
GCF of Numerators i.e. for 7074,2238 is 6
LCM of denominators i.e. for 177,203 is 35931.
Thus, GCF of Fractions is 6/35931.Finally, GCF of Fractions for 7074/177, 2238/203 is 6/35931.