Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4890/833,3460/1354
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 4890,3460
Greatest Common Factor of Numerators i.e. GCF of 4890,3460 is 10 .
LCM of Denominators means LCM of 833,1354 as per the given fractions.
LCM of 833,1354 is 1127882 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4890,3460
2 | 4890, 3460 |
5 | 2445, 1730 |
489, 346 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 4890
List of positive integer factors of 4890 that divides 4890 without a remainder.
1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890
Factors of 3460
List of positive integer factors of 3460 that divides 3460 without a remainder.
1,2,4,5,10,20,173,346,692,865,1730,3460
Greatest Common Factor
We found the factors 4890,3460 . The biggest common factor number is the GCF number.
So the greatest common factor 4890,3460 is 10.
Lets's calculate LCM of 833,1354
Given numbers has no common factors except 1. So, there LCM is their product i.e 1127882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1127882
Therefore, the GCF of Fractions 4890/833,3460/1354 is 10/1127882
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 833,1354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,1354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,1354) x common factors =1 x 1 = 1
LCM(833,1354) = ( 833 × 1354 ) / 1
LCM(833,1354) = 1127882 / 1
LCM(833,1354) = 1127882
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 4890/833, 3460/1354?
Answer: GCF of Numerators as per given numbers 4890/833, 3460/1354 is
GCF of Numerators i.e. for 4890,3460 is 10
LCM of denominators i.e. for 833,1354 is 1127882.
Thus, GCF of Fractions is 10/1127882.Finally, GCF of Fractions for 4890/833, 3460/1354 is 10/1127882.