Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 933/98,681/940
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 933,681
Greatest Common Factor of Numerators i.e. GCF of 933,681 is 3 .
LCM of Denominators means LCM of 98,940 as per the given fractions.
LCM of 98,940 is 46060 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 933,681
3 | 933, 681 |
311, 227 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 933
List of positive integer factors of 933 that divides 933 without a remainder.
1,3,311,933
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Greatest Common Factor
We found the factors 933,681 . The biggest common factor number is the GCF number.
So the greatest common factor 933,681 is 3.
Lets's calculate LCM of 98,940
2 | 98, 940 |
49, 470 |
∴ So the LCM of the given numbers is 2 x 49 x 470 = 46060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/46060
Therefore, the GCF of Fractions 933/98,681/940 is 3/46060
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 98,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,940) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(98,940) x common factors =2 x 1 = 2
LCM(98,940) = ( 98 × 940 ) / 2
LCM(98,940) = 92120 / 2
LCM(98,940) = 46060
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 933/98, 681/940?
Answer: GCF of Numerators as per given numbers 933/98, 681/940 is
GCF of Numerators i.e. for 933,681 is 3
LCM of denominators i.e. for 98,940 is 46060.
Thus, GCF of Fractions is 3/46060.Finally, GCF of Fractions for 933/98, 681/940 is 3/46060.