Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 840/74,600/4910
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 840,600
Greatest Common Factor of Numerators i.e. GCF of 840,600 is 120 .
LCM of Denominators means LCM of 74,4910 as per the given fractions.
LCM of 74,4910 is 181670 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 840,600
2 | 840, 600 |
2 | 420, 300 |
2 | 210, 150 |
3 | 105, 75 |
5 | 35, 25 |
7, 5 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 5 = 120
Factors of 840
List of positive integer factors of 840 that divides 840 without a remainder.
1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840
Factors of 600
List of positive integer factors of 600 that divides 600 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600
Greatest Common Factor
We found the factors 840,600 . The biggest common factor number is the GCF number.
So the greatest common factor 840,600 is 120.
Lets's calculate LCM of 74,4910
2 | 74, 4910 |
37, 2455 |
∴ So the LCM of the given numbers is 2 x 37 x 2455 = 181670
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 120/181670
Therefore, the GCF of Fractions 840/74,600/4910 is 120/181670
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 74,4910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,4910) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,4910) x common factors =2 x 1 = 2
LCM(74,4910) = ( 74 × 4910 ) / 2
LCM(74,4910) = 363340 / 2
LCM(74,4910) = 181670
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 840/74, 600/4910?
Answer: GCF of Numerators as per given numbers 840/74, 600/4910 is
GCF of Numerators i.e. for 840,600 is 120
LCM of denominators i.e. for 74,4910 is 181670.
Thus, GCF of Fractions is 120/181670.Finally, GCF of Fractions for 840/74, 600/4910 is 120/181670.