Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 376/859,4653/698
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 376,4653
Greatest Common Factor of Numerators i.e. GCF of 376,4653 is 47 .
LCM of Denominators means LCM of 859,698 as per the given fractions.
LCM of 859,698 is 599582 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 376,4653
47 | 376, 4653 |
8, 99 |
∴ So the GCF of the given numbers is 47 = 47
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 4653
List of positive integer factors of 4653 that divides 4653 without a remainder.
1,3,9,11,33,47,99,141,423,517,1551,4653
Greatest Common Factor
We found the factors 376,4653 . The biggest common factor number is the GCF number.
So the greatest common factor 376,4653 is 47.
Lets's calculate LCM of 859,698
Given numbers has no common factors except 1. So, there LCM is their product i.e 599582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/599582
Therefore, the GCF of Fractions 376/859,4653/698 is 47/599582
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 859,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,698) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,698) x common factors =1 x 1 = 1
LCM(859,698) = ( 859 × 698 ) / 1
LCM(859,698) = 599582 / 1
LCM(859,698) = 599582
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 376/859, 4653/698?
Answer: GCF of Numerators as per given numbers 376/859, 4653/698 is
GCF of Numerators i.e. for 376,4653 is 47
LCM of denominators i.e. for 859,698 is 599582.
Thus, GCF of Fractions is 47/599582.Finally, GCF of Fractions for 376/859, 4653/698 is 47/599582.