Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 292/77,602/3819
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 292,602
Greatest Common Factor of Numerators i.e. GCF of 292,602 is 2 .
LCM of Denominators means LCM of 77,3819 as per the given fractions.
LCM of 77,3819 is 294063 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 292,602
2 | 292, 602 |
146, 301 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Greatest Common Factor
We found the factors 292,602 . The biggest common factor number is the GCF number.
So the greatest common factor 292,602 is 2.
Lets's calculate LCM of 77,3819
Given numbers has no common factors except 1. So, there LCM is their product i.e 294063
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294063
Therefore, the GCF of Fractions 292/77,602/3819 is 2/294063
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 77,3819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,3819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,3819) x common factors =1 x 1 = 1
LCM(77,3819) = ( 77 × 3819 ) / 1
LCM(77,3819) = 294063 / 1
LCM(77,3819) = 294063
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 292/77, 602/3819?
Answer: GCF of Numerators as per given numbers 292/77, 602/3819 is
GCF of Numerators i.e. for 292,602 is 2
LCM of denominators i.e. for 77,3819 is 294063.
Thus, GCF of Fractions is 2/294063.Finally, GCF of Fractions for 292/77, 602/3819 is 2/294063.