Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/627,58/598,692/897
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 29,58,692
Greatest Common Factor of Numerators i.e. GCF of 29,58,692 is 1 .
LCM of Denominators means LCM of 627,598,897 as per the given fractions.
LCM of 627,598,897 is 374946 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,58,692
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 692
List of positive integer factors of 692 that divides 692 without a remainder.
1,2,4,173,346,692
Greatest Common Factor
We found the factors 29,58,692 . The biggest common factor number is the GCF number.
So the greatest common factor 29,58,692 is 1.
Lets's calculate LCM of 627,598,897
3 | 627, 598, 897 |
13 | 209, 598, 299 |
23 | 209, 46, 23 |
209, 2, 1 |
∴ So the LCM of the given numbers is 3 x 13 x 23 x 209 x 2 x 1 = 374946
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/374946
Therefore, the GCF of Fractions 29/627,58/598,692/897 is 1/374946
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 627,598,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(627,598,897) = 1
common factors(in case of two or more numbers have common factors) = 897
GCF(627,598,897) x common factors =1 x 897 = 897
LCM(627,598,897) = ( 627 × 598 × 897 ) / 897
LCM(627,598,897) = 336326562 / 897
LCM(627,598,897) = 374946
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 29/627, 58/598, 692/897?
Answer: GCF of Numerators as per given numbers 29/627, 58/598, 692/897 is
GCF of Numerators i.e. for 29,58,692 is 1
LCM of denominators i.e. for 627,598,897 is 374946.
Thus, GCF of Fractions is 1/374946.Finally, GCF of Fractions for 29/627, 58/598, 692/897 is 1/374946.