Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4477/77,2692/775
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 4477,2692
Greatest Common Factor of Numerators i.e. GCF of 4477,2692 is 1 .
LCM of Denominators means LCM of 77,775 as per the given fractions.
LCM of 77,775 is 59675 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4477,2692
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4477
List of positive integer factors of 4477 that divides 4477 without a remainder.
1,11,37,121,407,4477
Factors of 2692
List of positive integer factors of 2692 that divides 2692 without a remainder.
1,2,4,673,1346,2692
Greatest Common Factor
We found the factors 4477,2692 . The biggest common factor number is the GCF number.
So the greatest common factor 4477,2692 is 1.
Lets's calculate LCM of 77,775
Given numbers has no common factors except 1. So, there LCM is their product i.e 59675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59675
Therefore, the GCF of Fractions 4477/77,2692/775 is 1/59675
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 77,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,775) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,775) x common factors =1 x 1 = 1
LCM(77,775) = ( 77 × 775 ) / 1
LCM(77,775) = 59675 / 1
LCM(77,775) = 59675
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 4477/77, 2692/775?
Answer: GCF of Numerators as per given numbers 4477/77, 2692/775 is
GCF of Numerators i.e. for 4477,2692 is 1
LCM of denominators i.e. for 77,775 is 59675.
Thus, GCF of Fractions is 1/59675.Finally, GCF of Fractions for 4477/77, 2692/775 is 1/59675.