Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 532/45,734/15,561/633
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 532,734,561
Greatest Common Factor of Numerators i.e. GCF of 532,734,561 is 1 .
LCM of Denominators means LCM of 45,15,633 as per the given fractions.
LCM of 45,15,633 is 9495 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 532,734,561
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 532
List of positive integer factors of 532 that divides 532 without a remainder.
1,2,4,7,14,19,28,38,76,133,266,532
Factors of 734
List of positive integer factors of 734 that divides 734 without a remainder.
1,2,367,734
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Greatest Common Factor
We found the factors 532,734,561 . The biggest common factor number is the GCF number.
So the greatest common factor 532,734,561 is 1.
Lets's calculate LCM of 45,15,633
3 | 45, 15, 633 |
5 | 15, 5, 211 |
3, 1, 211 |
∴ So the LCM of the given numbers is 3 x 5 x 3 x 1 x 211 = 9495
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9495
Therefore, the GCF of Fractions 532/45,734/15,561/633 is 1/9495
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 45,15,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(45,15,633) = 3
common factors(in case of two or more numbers have common factors) = 15
GCF(45,15,633) x common factors =3 x 15 = 45
LCM(45,15,633) = ( 45 × 15 × 633 ) / 45
LCM(45,15,633) = 427275 / 45
LCM(45,15,633) = 9495
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 532/45, 734/15, 561/633?
Answer: GCF of Numerators as per given numbers 532/45, 734/15, 561/633 is
GCF of Numerators i.e. for 532,734,561 is 1
LCM of denominators i.e. for 45,15,633 is 9495.
Thus, GCF of Fractions is 1/9495.Finally, GCF of Fractions for 532/45, 734/15, 561/633 is 1/9495.