Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/950,9232/374
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 832,9232
Greatest Common Factor of Numerators i.e. GCF of 832,9232 is 16 .
LCM of Denominators means LCM of 950,374 as per the given fractions.
LCM of 950,374 is 177650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,9232
2 | 832, 9232 |
2 | 416, 4616 |
2 | 208, 2308 |
2 | 104, 1154 |
52, 577 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 9232
List of positive integer factors of 9232 that divides 9232 without a remainder.
1,2,4,8,16,577,1154,2308,4616,9232
Greatest Common Factor
We found the factors 832,9232 . The biggest common factor number is the GCF number.
So the greatest common factor 832,9232 is 16.
Lets's calculate LCM of 950,374
2 | 950, 374 |
475, 187 |
∴ So the LCM of the given numbers is 2 x 475 x 187 = 177650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/177650
Therefore, the GCF of Fractions 832/950,9232/374 is 16/177650
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 950,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(950,374) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(950,374) x common factors =2 x 1 = 2
LCM(950,374) = ( 950 × 374 ) / 2
LCM(950,374) = 355300 / 2
LCM(950,374) = 177650
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 832/950, 9232/374?
Answer: GCF of Numerators as per given numbers 832/950, 9232/374 is
GCF of Numerators i.e. for 832,9232 is 16
LCM of denominators i.e. for 950,374 is 177650.
Thus, GCF of Fractions is 16/177650.Finally, GCF of Fractions for 832/950, 9232/374 is 16/177650.