Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 52/28,77/61,71/46,20/335
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 52,77,71,20
Greatest Common Factor of Numerators i.e. GCF of 52,77,71,20 is 1 .
LCM of Denominators means LCM of 28,61,46,335 as per the given fractions.
LCM of 28,61,46,335 is 13160140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 52,77,71,20
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Greatest Common Factor
We found the factors 52,77,71,20 . The biggest common factor number is the GCF number.
So the greatest common factor 52,77,71,20 is 1.
Lets's calculate LCM of 28,61,46,335
2 | 28, 61, 46, 335 |
14, 61, 23, 335 |
∴ So the LCM of the given numbers is 2 x 14 x 61 x 23 x 335 = 13160140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13160140
Therefore, the GCF of Fractions 52/28,77/61,71/46,20/335 is 1/13160140
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 28,61,46,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,61,46,335) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(28,61,46,335) x common factors =1 x 2 = 2
LCM(28,61,46,335) = ( 28 × 61 × 46 × 335 ) / 2
LCM(28,61,46,335) = 26320280 / 2
LCM(28,61,46,335) = 13160140
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 52/28, 77/61, 71/46, 20/335?
Answer: GCF of Numerators as per given numbers 52/28, 77/61, 71/46, 20/335 is
GCF of Numerators i.e. for 52,77,71,20 is 1
LCM of denominators i.e. for 28,61,46,335 is 13160140.
Thus, GCF of Fractions is 1/13160140.Finally, GCF of Fractions for 52/28, 77/61, 71/46, 20/335 is 1/13160140.