Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 805/607,106/930,946/612
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 805,106,946
Greatest Common Factor of Numerators i.e. GCF of 805,106,946 is 1 .
LCM of Denominators means LCM of 607,930,612 as per the given fractions.
LCM of 607,930,612 is 57580020 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 805,106,946
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 805
List of positive integer factors of 805 that divides 805 without a remainder.
1,5,7,23,35,115,161,805
Factors of 106
List of positive integer factors of 106 that divides 106 without a remainder.
1,2,53,106
Factors of 946
List of positive integer factors of 946 that divides 946 without a remainder.
1,2,11,22,43,86,473,946
Greatest Common Factor
We found the factors 805,106,946 . The biggest common factor number is the GCF number.
So the greatest common factor 805,106,946 is 1.
Lets's calculate LCM of 607,930,612
2 | 607, 930, 612 |
3 | 607, 465, 306 |
607, 155, 102 |
∴ So the LCM of the given numbers is 2 x 3 x 607 x 155 x 102 = 57580020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57580020
Therefore, the GCF of Fractions 805/607,106/930,946/612 is 1/57580020
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 607,930,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,930,612) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(607,930,612) x common factors =1 x 6 = 6
LCM(607,930,612) = ( 607 × 930 × 612 ) / 6
LCM(607,930,612) = 345480120 / 6
LCM(607,930,612) = 57580020
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 805/607, 106/930, 946/612?
Answer: GCF of Numerators as per given numbers 805/607, 106/930, 946/612 is
GCF of Numerators i.e. for 805,106,946 is 1
LCM of denominators i.e. for 607,930,612 is 57580020.
Thus, GCF of Fractions is 1/57580020.Finally, GCF of Fractions for 805/607, 106/930, 946/612 is 1/57580020.