Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 634/10,742/9835
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 634,742
Greatest Common Factor of Numerators i.e. GCF of 634,742 is 2 .
LCM of Denominators means LCM of 10,9835 as per the given fractions.
LCM of 10,9835 is 19670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 634,742
2 | 634, 742 |
317, 371 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 634
List of positive integer factors of 634 that divides 634 without a remainder.
1,2,317,634
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 634,742 . The biggest common factor number is the GCF number.
So the greatest common factor 634,742 is 2.
Lets's calculate LCM of 10,9835
5 | 10, 9835 |
2, 1967 |
∴ So the LCM of the given numbers is 5 x 2 x 1967 = 19670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19670
Therefore, the GCF of Fractions 634/10,742/9835 is 2/19670
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 10,9835 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,9835) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(10,9835) x common factors =5 x 1 = 5
LCM(10,9835) = ( 10 × 9835 ) / 5
LCM(10,9835) = 98350 / 5
LCM(10,9835) = 19670
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 634/10, 742/9835?
Answer: GCF of Numerators as per given numbers 634/10, 742/9835 is
GCF of Numerators i.e. for 634,742 is 2
LCM of denominators i.e. for 10,9835 is 19670.
Thus, GCF of Fractions is 2/19670.Finally, GCF of Fractions for 634/10, 742/9835 is 2/19670.