Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 988/391,6084/5439
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 988,6084
Greatest Common Factor of Numerators i.e. GCF of 988,6084 is 52 .
LCM of Denominators means LCM of 391,5439 as per the given fractions.
LCM of 391,5439 is 2126649 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 988,6084
2 | 988, 6084 |
2 | 494, 3042 |
13 | 247, 1521 |
19, 117 |
∴ So the GCF of the given numbers is 2 x 2 x 13 = 52
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 6084
List of positive integer factors of 6084 that divides 6084 without a remainder.
1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,169,234,338,468,507,676,1014,1521,2028,3042,6084
Greatest Common Factor
We found the factors 988,6084 . The biggest common factor number is the GCF number.
So the greatest common factor 988,6084 is 52.
Lets's calculate LCM of 391,5439
Given numbers has no common factors except 1. So, there LCM is their product i.e 2126649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 52/2126649
Therefore, the GCF of Fractions 988/391,6084/5439 is 52/2126649
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 391,5439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,5439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,5439) x common factors =1 x 1 = 1
LCM(391,5439) = ( 391 × 5439 ) / 1
LCM(391,5439) = 2126649 / 1
LCM(391,5439) = 2126649
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 988/391, 6084/5439?
Answer: GCF of Numerators as per given numbers 988/391, 6084/5439 is
GCF of Numerators i.e. for 988,6084 is 52
LCM of denominators i.e. for 391,5439 is 2126649.
Thus, GCF of Fractions is 52/2126649.Finally, GCF of Fractions for 988/391, 6084/5439 is 52/2126649.