Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 840/60,5972/649
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 840,5972
Greatest Common Factor of Numerators i.e. GCF of 840,5972 is 4 .
LCM of Denominators means LCM of 60,649 as per the given fractions.
LCM of 60,649 is 38940 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 840,5972
2 | 840, 5972 |
2 | 420, 2986 |
210, 1493 |
∴ So the GCF of the given numbers is 2 x 2 = 4
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 5972
List of positive integer factors of 5972 that divides 5972 without a remainder.
1,2,4,1493,2986,5972
Greatest Common Factor
We found the factors 840,5972 . The biggest common factor number is the GCF number.
So the greatest common factor 840,5972 is 4.
Lets's calculate LCM of 60,649
Given numbers has no common factors except 1. So, there LCM is their product i.e 38940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/38940
Therefore, the GCF of Fractions 840/60,5972/649 is 4/38940
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 60,649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(60,649) x common factors =1 x 1 = 1
LCM(60,649) = ( 60 × 649 ) / 1
LCM(60,649) = 38940 / 1
LCM(60,649) = 38940
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 840/60, 5972/649?
Answer: GCF of Numerators as per given numbers 840/60, 5972/649 is
GCF of Numerators i.e. for 840,5972 is 4
LCM of denominators i.e. for 60,649 is 38940.
Thus, GCF of Fractions is 4/38940.Finally, GCF of Fractions for 840/60, 5972/649 is 4/38940.