Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 609/69,912/74,646/489
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 609,912,646
Greatest Common Factor of Numerators i.e. GCF of 609,912,646 is 1 .
LCM of Denominators means LCM of 69,74,489 as per the given fractions.
LCM of 69,74,489 is 832278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 609,912,646
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 609
List of positive integer factors of 609 that divides 609 without a remainder.
1,3,7,21,29,87,203,609
Factors of 912
List of positive integer factors of 912 that divides 912 without a remainder.
1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Greatest Common Factor
We found the factors 609,912,646 . The biggest common factor number is the GCF number.
So the greatest common factor 609,912,646 is 1.
Lets's calculate LCM of 69,74,489
3 | 69, 74, 489 |
23, 74, 163 |
∴ So the LCM of the given numbers is 3 x 23 x 74 x 163 = 832278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832278
Therefore, the GCF of Fractions 609/69,912/74,646/489 is 1/832278
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 69,74,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,74,489) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,74,489) x common factors =1 x 3 = 3
LCM(69,74,489) = ( 69 × 74 × 489 ) / 3
LCM(69,74,489) = 2496834 / 3
LCM(69,74,489) = 832278
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 609/69, 912/74, 646/489?
Answer: GCF of Numerators as per given numbers 609/69, 912/74, 646/489 is
GCF of Numerators i.e. for 609,912,646 is 1
LCM of denominators i.e. for 69,74,489 is 832278.
Thus, GCF of Fractions is 1/832278.Finally, GCF of Fractions for 609/69, 912/74, 646/489 is 1/832278.