Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 45/55,67/42,930/924
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 45,67,930
Greatest Common Factor of Numerators i.e. GCF of 45,67,930 is 1 .
LCM of Denominators means LCM of 55,42,924 as per the given fractions.
LCM of 55,42,924 is 4620 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 45,67,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 930
List of positive integer factors of 930 that divides 930 without a remainder.
1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 45,67,930 . The biggest common factor number is the GCF number.
So the greatest common factor 45,67,930 is 1.
Lets's calculate LCM of 55,42,924
2 | 55, 42, 924 |
3 | 55, 21, 462 |
7 | 55, 7, 154 |
11 | 55, 1, 22 |
5, 1, 2 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 5 x 1 x 2 = 4620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620
Therefore, the GCF of Fractions 45/55,67/42,930/924 is 1/4620
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 55,42,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,42,924) = 1
common factors(in case of two or more numbers have common factors) = 462
GCF(55,42,924) x common factors =1 x 462 = 462
LCM(55,42,924) = ( 55 × 42 × 924 ) / 462
LCM(55,42,924) = 2134440 / 462
LCM(55,42,924) = 4620
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 45/55, 67/42, 930/924?
Answer: GCF of Numerators as per given numbers 45/55, 67/42, 930/924 is
GCF of Numerators i.e. for 45,67,930 is 1
LCM of denominators i.e. for 55,42,924 is 4620.
Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 45/55, 67/42, 930/924 is 1/4620.