Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2770/92,1101/291
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 2770,1101
Greatest Common Factor of Numerators i.e. GCF of 2770,1101 is 1 .
LCM of Denominators means LCM of 92,291 as per the given fractions.
LCM of 92,291 is 26772 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2770,1101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2770
List of positive integer factors of 2770 that divides 2770 without a remainder.
1,2,5,10,277,554,1385,2770
Factors of 1101
List of positive integer factors of 1101 that divides 1101 without a remainder.
1,3,367,1101
Greatest Common Factor
We found the factors 2770,1101 . The biggest common factor number is the GCF number.
So the greatest common factor 2770,1101 is 1.
Lets's calculate LCM of 92,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 26772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26772
Therefore, the GCF of Fractions 2770/92,1101/291 is 1/26772
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 92,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,291) x common factors =1 x 1 = 1
LCM(92,291) = ( 92 × 291 ) / 1
LCM(92,291) = 26772 / 1
LCM(92,291) = 26772
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 2770/92, 1101/291?
Answer: GCF of Numerators as per given numbers 2770/92, 1101/291 is
GCF of Numerators i.e. for 2770,1101 is 1
LCM of denominators i.e. for 92,291 is 26772.
Thus, GCF of Fractions is 1/26772.Finally, GCF of Fractions for 2770/92, 1101/291 is 1/26772.