Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 771/72,9867/709
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 771,9867
Greatest Common Factor of Numerators i.e. GCF of 771,9867 is 3 .
LCM of Denominators means LCM of 72,709 as per the given fractions.
LCM of 72,709 is 51048 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 771,9867
3 | 771, 9867 |
257, 3289 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 9867
List of positive integer factors of 9867 that divides 9867 without a remainder.
1,3,11,13,23,33,39,69,143,253,299,429,759,897,3289,9867
Greatest Common Factor
We found the factors 771,9867 . The biggest common factor number is the GCF number.
So the greatest common factor 771,9867 is 3.
Lets's calculate LCM of 72,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 51048
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51048
Therefore, the GCF of Fractions 771/72,9867/709 is 3/51048
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 72,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(72,709) x common factors =1 x 1 = 1
LCM(72,709) = ( 72 × 709 ) / 1
LCM(72,709) = 51048 / 1
LCM(72,709) = 51048
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 771/72, 9867/709?
Answer: GCF of Numerators as per given numbers 771/72, 9867/709 is
GCF of Numerators i.e. for 771,9867 is 3
LCM of denominators i.e. for 72,709 is 51048.
Thus, GCF of Fractions is 3/51048.Finally, GCF of Fractions for 771/72, 9867/709 is 3/51048.