Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 897/58,691/742
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 897,691
Greatest Common Factor of Numerators i.e. GCF of 897,691 is 1 .
LCM of Denominators means LCM of 58,742 as per the given fractions.
LCM of 58,742 is 21518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 897,691
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 691
List of positive integer factors of 691 that divides 691 without a remainder.
1,691
Greatest Common Factor
We found the factors 897,691 . The biggest common factor number is the GCF number.
So the greatest common factor 897,691 is 1.
Lets's calculate LCM of 58,742
2 | 58, 742 |
29, 371 |
∴ So the LCM of the given numbers is 2 x 29 x 371 = 21518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21518
Therefore, the GCF of Fractions 897/58,691/742 is 1/21518
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 58,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(58,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(58,742) x common factors =2 x 1 = 2
LCM(58,742) = ( 58 × 742 ) / 2
LCM(58,742) = 43036 / 2
LCM(58,742) = 21518
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 897/58, 691/742?
Answer: GCF of Numerators as per given numbers 897/58, 691/742 is
GCF of Numerators i.e. for 897,691 is 1
LCM of denominators i.e. for 58,742 is 21518.
Thus, GCF of Fractions is 1/21518.Finally, GCF of Fractions for 897/58, 691/742 is 1/21518.