Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 429/149,6773/101
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 429,6773
Greatest Common Factor of Numerators i.e. GCF of 429,6773 is 13 .
LCM of Denominators means LCM of 149,101 as per the given fractions.
LCM of 149,101 is 15049 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 429,6773
13 | 429, 6773 |
33, 521 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 429
List of positive integer factors of 429 that divides 429 without a remainder.
1,3,11,13,33,39,143,429
Factors of 6773
List of positive integer factors of 6773 that divides 6773 without a remainder.
1,13,521,6773
Greatest Common Factor
We found the factors 429,6773 . The biggest common factor number is the GCF number.
So the greatest common factor 429,6773 is 13.
Lets's calculate LCM of 149,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 15049
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/15049
Therefore, the GCF of Fractions 429/149,6773/101 is 13/15049
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 149,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,101) x common factors =1 x 1 = 1
LCM(149,101) = ( 149 × 101 ) / 1
LCM(149,101) = 15049 / 1
LCM(149,101) = 15049
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 429/149, 6773/101?
Answer: GCF of Numerators as per given numbers 429/149, 6773/101 is
GCF of Numerators i.e. for 429,6773 is 13
LCM of denominators i.e. for 149,101 is 15049.
Thus, GCF of Fractions is 13/15049.Finally, GCF of Fractions for 429/149, 6773/101 is 13/15049.