Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 793/922,549/282
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 793,549
Greatest Common Factor of Numerators i.e. GCF of 793,549 is 61 .
LCM of Denominators means LCM of 922,282 as per the given fractions.
LCM of 922,282 is 130002 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 793,549
61 | 793, 549 |
13, 9 |
∴ So the GCF of the given numbers is 61 = 61
Factors of 793
List of positive integer factors of 793 that divides 793 without a remainder.
1,13,61,793
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 793,549 . The biggest common factor number is the GCF number.
So the greatest common factor 793,549 is 61.
Lets's calculate LCM of 922,282
2 | 922, 282 |
461, 141 |
∴ So the LCM of the given numbers is 2 x 461 x 141 = 130002
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/130002
Therefore, the GCF of Fractions 793/922,549/282 is 61/130002
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 922,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(922,282) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(922,282) x common factors =2 x 1 = 2
LCM(922,282) = ( 922 × 282 ) / 2
LCM(922,282) = 260004 / 2
LCM(922,282) = 130002
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 793/922, 549/282?
Answer: GCF of Numerators as per given numbers 793/922, 549/282 is
GCF of Numerators i.e. for 793,549 is 61
LCM of denominators i.e. for 922,282 is 130002.
Thus, GCF of Fractions is 61/130002.Finally, GCF of Fractions for 793/922, 549/282 is 61/130002.