Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 382/646,502/285
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 382,502
Greatest Common Factor of Numerators i.e. GCF of 382,502 is 2 .
LCM of Denominators means LCM of 646,285 as per the given fractions.
LCM of 646,285 is 9690 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 382,502
2 | 382, 502 |
191, 251 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 382
List of positive integer factors of 382 that divides 382 without a remainder.
1,2,191,382
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Greatest Common Factor
We found the factors 382,502 . The biggest common factor number is the GCF number.
So the greatest common factor 382,502 is 2.
Lets's calculate LCM of 646,285
19 | 646, 285 |
34, 15 |
∴ So the LCM of the given numbers is 19 x 34 x 15 = 9690
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9690
Therefore, the GCF of Fractions 382/646,502/285 is 2/9690
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 646,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,285) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(646,285) x common factors =19 x 1 = 19
LCM(646,285) = ( 646 × 285 ) / 19
LCM(646,285) = 184110 / 19
LCM(646,285) = 9690
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 382/646, 502/285?
Answer: GCF of Numerators as per given numbers 382/646, 502/285 is
GCF of Numerators i.e. for 382,502 is 2
LCM of denominators i.e. for 646,285 is 9690.
Thus, GCF of Fractions is 2/9690.Finally, GCF of Fractions for 382/646, 502/285 is 2/9690.