Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/95,470/7766
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 202,470
Greatest Common Factor of Numerators i.e. GCF of 202,470 is 2 .
LCM of Denominators means LCM of 95,7766 as per the given fractions.
LCM of 95,7766 is 737770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 202,470
2 | 202, 470 |
101, 235 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 470
List of positive integer factors of 470 that divides 470 without a remainder.
1,2,5,10,47,94,235,470
Greatest Common Factor
We found the factors 202,470 . The biggest common factor number is the GCF number.
So the greatest common factor 202,470 is 2.
Lets's calculate LCM of 95,7766
Given numbers has no common factors except 1. So, there LCM is their product i.e 737770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/737770
Therefore, the GCF of Fractions 202/95,470/7766 is 2/737770
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 95,7766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,7766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,7766) x common factors =1 x 1 = 1
LCM(95,7766) = ( 95 × 7766 ) / 1
LCM(95,7766) = 737770 / 1
LCM(95,7766) = 737770
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 202/95, 470/7766?
Answer: GCF of Numerators as per given numbers 202/95, 470/7766 is
GCF of Numerators i.e. for 202,470 is 2
LCM of denominators i.e. for 95,7766 is 737770.
Thus, GCF of Fractions is 2/737770.Finally, GCF of Fractions for 202/95, 470/7766 is 2/737770.