Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 934/812,8552/6969
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 934,8552
Greatest Common Factor of Numerators i.e. GCF of 934,8552 is 2 .
LCM of Denominators means LCM of 812,6969 as per the given fractions.
LCM of 812,6969 is 5658828 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 934,8552
2 | 934, 8552 |
467, 4276 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 934
List of positive integer factors of 934 that divides 934 without a remainder.
1,2,467,934
Factors of 8552
List of positive integer factors of 8552 that divides 8552 without a remainder.
1,2,4,8,1069,2138,4276,8552
Greatest Common Factor
We found the factors 934,8552 . The biggest common factor number is the GCF number.
So the greatest common factor 934,8552 is 2.
Lets's calculate LCM of 812,6969
Given numbers has no common factors except 1. So, there LCM is their product i.e 5658828
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5658828
Therefore, the GCF of Fractions 934/812,8552/6969 is 2/5658828
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 812,6969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,6969) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,6969) x common factors =1 x 1 = 1
LCM(812,6969) = ( 812 × 6969 ) / 1
LCM(812,6969) = 5658828 / 1
LCM(812,6969) = 5658828
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 934/812, 8552/6969?
Answer: GCF of Numerators as per given numbers 934/812, 8552/6969 is
GCF of Numerators i.e. for 934,8552 is 2
LCM of denominators i.e. for 812,6969 is 5658828.
Thus, GCF of Fractions is 2/5658828.Finally, GCF of Fractions for 934/812, 8552/6969 is 2/5658828.