Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 169/429,994/167
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 169,994
Greatest Common Factor of Numerators i.e. GCF of 169,994 is 1 .
LCM of Denominators means LCM of 429,167 as per the given fractions.
LCM of 429,167 is 71643 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 169,994
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 169
List of positive integer factors of 169 that divides 169 without a remainder.
1,13,169
Factors of 994
List of positive integer factors of 994 that divides 994 without a remainder.
1,2,7,14,71,142,497,994
Greatest Common Factor
We found the factors 169,994 . The biggest common factor number is the GCF number.
So the greatest common factor 169,994 is 1.
Lets's calculate LCM of 429,167
Given numbers has no common factors except 1. So, there LCM is their product i.e 71643
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71643
Therefore, the GCF of Fractions 169/429,994/167 is 1/71643
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 429,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,167) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,167) x common factors =1 x 1 = 1
LCM(429,167) = ( 429 × 167 ) / 1
LCM(429,167) = 71643 / 1
LCM(429,167) = 71643
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 169/429, 994/167?
Answer: GCF of Numerators as per given numbers 169/429, 994/167 is
GCF of Numerators i.e. for 169,994 is 1
LCM of denominators i.e. for 429,167 is 71643.
Thus, GCF of Fractions is 1/71643.Finally, GCF of Fractions for 169/429, 994/167 is 1/71643.