Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 832/85,238/2802
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 832,238
Greatest Common Factor of Numerators i.e. GCF of 832,238 is 2 .
LCM of Denominators means LCM of 85,2802 as per the given fractions.
LCM of 85,2802 is 238170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 832,238
2 | 832, 238 |
416, 119 |
∴ So the GCF of the given numbers is 2 = 2
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 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Greatest Common Factor
We found the factors 832,238 . The biggest common factor number is the GCF number.
So the greatest common factor 832,238 is 2.
Lets's calculate LCM of 85,2802
Given numbers has no common factors except 1. So, there LCM is their product i.e 238170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/238170
Therefore, the GCF of Fractions 832/85,238/2802 is 2/238170
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 85,2802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,2802) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,2802) x common factors =1 x 1 = 1
LCM(85,2802) = ( 85 × 2802 ) / 1
LCM(85,2802) = 238170 / 1
LCM(85,2802) = 238170
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 832/85, 238/2802?
Answer: GCF of Numerators as per given numbers 832/85, 238/2802 is
GCF of Numerators i.e. for 832,238 is 2
LCM of denominators i.e. for 85,2802 is 238170.
Thus, GCF of Fractions is 2/238170.Finally, GCF of Fractions for 832/85, 238/2802 is 2/238170.