Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6358/985,9926/376
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 6358,9926
Greatest Common Factor of Numerators i.e. GCF of 6358,9926 is 2 .
LCM of Denominators means LCM of 985,376 as per the given fractions.
LCM of 985,376 is 370360 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6358,9926
2 | 6358, 9926 |
3179, 4963 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 6358
List of positive integer factors of 6358 that divides 6358 without a remainder.
1,2,11,17,22,34,187,289,374,578,3179,6358
Factors of 9926
List of positive integer factors of 9926 that divides 9926 without a remainder.
1,2,7,14,709,1418,4963,9926
Greatest Common Factor
We found the factors 6358,9926 . The biggest common factor number is the GCF number.
So the greatest common factor 6358,9926 is 2.
Lets's calculate LCM of 985,376
Given numbers has no common factors except 1. So, there LCM is their product i.e 370360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/370360
Therefore, the GCF of Fractions 6358/985,9926/376 is 2/370360
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 985,376 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(985,376) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(985,376) x common factors =1 x 1 = 1
LCM(985,376) = ( 985 × 376 ) / 1
LCM(985,376) = 370360 / 1
LCM(985,376) = 370360
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 6358/985, 9926/376?
Answer: GCF of Numerators as per given numbers 6358/985, 9926/376 is
GCF of Numerators i.e. for 6358,9926 is 2
LCM of denominators i.e. for 985,376 is 370360.
Thus, GCF of Fractions is 2/370360.Finally, GCF of Fractions for 6358/985, 9926/376 is 2/370360.