Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 958/66,164/6800
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 958,164
Greatest Common Factor of Numerators i.e. GCF of 958,164 is 2 .
LCM of Denominators means LCM of 66,6800 as per the given fractions.
LCM of 66,6800 is 224400 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 958,164
2 | 958, 164 |
479, 82 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 164
List of positive integer factors of 164 that divides 164 without a remainder.
1,2,4,41,82,164
Greatest Common Factor
We found the factors 958,164 . The biggest common factor number is the GCF number.
So the greatest common factor 958,164 is 2.
Lets's calculate LCM of 66,6800
2 | 66, 6800 |
33, 3400 |
∴ So the LCM of the given numbers is 2 x 33 x 3400 = 224400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/224400
Therefore, the GCF of Fractions 958/66,164/6800 is 2/224400
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 66,6800 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,6800) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(66,6800) x common factors =2 x 1 = 2
LCM(66,6800) = ( 66 × 6800 ) / 2
LCM(66,6800) = 448800 / 2
LCM(66,6800) = 224400
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 958/66, 164/6800?
Answer: GCF of Numerators as per given numbers 958/66, 164/6800 is
GCF of Numerators i.e. for 958,164 is 2
LCM of denominators i.e. for 66,6800 is 224400.
Thus, GCF of Fractions is 2/224400.Finally, GCF of Fractions for 958/66, 164/6800 is 2/224400.