Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 952/847,6608/942
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 952,6608
Greatest Common Factor of Numerators i.e. GCF of 952,6608 is 56 .
LCM of Denominators means LCM of 847,942 as per the given fractions.
LCM of 847,942 is 797874 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 952,6608
2 | 952, 6608 |
2 | 476, 3304 |
2 | 238, 1652 |
7 | 119, 826 |
17, 118 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 6608
List of positive integer factors of 6608 that divides 6608 without a remainder.
1,2,4,7,8,14,16,28,56,59,112,118,236,413,472,826,944,1652,3304,6608
Greatest Common Factor
We found the factors 952,6608 . The biggest common factor number is the GCF number.
So the greatest common factor 952,6608 is 56.
Lets's calculate LCM of 847,942
Given numbers has no common factors except 1. So, there LCM is their product i.e 797874
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/797874
Therefore, the GCF of Fractions 952/847,6608/942 is 56/797874
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 847,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(847,942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(847,942) x common factors =1 x 1 = 1
LCM(847,942) = ( 847 × 942 ) / 1
LCM(847,942) = 797874 / 1
LCM(847,942) = 797874
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 952/847, 6608/942?
Answer: GCF of Numerators as per given numbers 952/847, 6608/942 is
GCF of Numerators i.e. for 952,6608 is 56
LCM of denominators i.e. for 847,942 is 797874.
Thus, GCF of Fractions is 56/797874.Finally, GCF of Fractions for 952/847, 6608/942 is 56/797874.