Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 58/56,420/62,273/813
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 58,420,273
Greatest Common Factor of Numerators i.e. GCF of 58,420,273 is 1 .
LCM of Denominators means LCM of 56,62,813 as per the given fractions.
LCM of 56,62,813 is 1411368 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 58,420,273
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 273
List of positive integer factors of 273 that divides 273 without a remainder.
1,3,7,13,21,39,91,273
Greatest Common Factor
We found the factors 58,420,273 . The biggest common factor number is the GCF number.
So the greatest common factor 58,420,273 is 1.
Lets's calculate LCM of 56,62,813
2 | 56, 62, 813 |
28, 31, 813 |
∴ So the LCM of the given numbers is 2 x 28 x 31 x 813 = 1411368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1411368
Therefore, the GCF of Fractions 58/56,420/62,273/813 is 1/1411368
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 56,62,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,62,813) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(56,62,813) x common factors =1 x 2 = 2
LCM(56,62,813) = ( 56 × 62 × 813 ) / 2
LCM(56,62,813) = 2822736 / 2
LCM(56,62,813) = 1411368
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 58/56, 420/62, 273/813?
Answer: GCF of Numerators as per given numbers 58/56, 420/62, 273/813 is
GCF of Numerators i.e. for 58,420,273 is 1
LCM of denominators i.e. for 56,62,813 is 1411368.
Thus, GCF of Fractions is 1/1411368.Finally, GCF of Fractions for 58/56, 420/62, 273/813 is 1/1411368.