Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4929/28,1130/580
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 4929,1130
Greatest Common Factor of Numerators i.e. GCF of 4929,1130 is 1 .
LCM of Denominators means LCM of 28,580 as per the given fractions.
LCM of 28,580 is 4060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4929,1130
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4929
List of positive integer factors of 4929 that divides 4929 without a remainder.
1,3,31,53,93,159,1643,4929
Factors of 1130
List of positive integer factors of 1130 that divides 1130 without a remainder.
1,2,5,10,113,226,565,1130
Greatest Common Factor
We found the factors 4929,1130 . The biggest common factor number is the GCF number.
So the greatest common factor 4929,1130 is 1.
Lets's calculate LCM of 28,580
2 | 28, 580 |
2 | 14, 290 |
7, 145 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 145 = 4060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4060
Therefore, the GCF of Fractions 4929/28,1130/580 is 1/4060
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 28,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,580) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(28,580) x common factors =4 x 1 = 4
LCM(28,580) = ( 28 × 580 ) / 4
LCM(28,580) = 16240 / 4
LCM(28,580) = 4060
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 4929/28, 1130/580?
Answer: GCF of Numerators as per given numbers 4929/28, 1130/580 is
GCF of Numerators i.e. for 4929,1130 is 1
LCM of denominators i.e. for 28,580 is 4060.
Thus, GCF of Fractions is 1/4060.Finally, GCF of Fractions for 4929/28, 1130/580 is 1/4060.