Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 189/98,661/67,929/74
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 189,661,929
Greatest Common Factor of Numerators i.e. GCF of 189,661,929 is 1 .
LCM of Denominators means LCM of 98,67,74 as per the given fractions.
LCM of 98,67,74 is 242942 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 189,661,929
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 929
List of positive integer factors of 929 that divides 929 without a remainder.
1,929
Greatest Common Factor
We found the factors 189,661,929 . The biggest common factor number is the GCF number.
So the greatest common factor 189,661,929 is 1.
Lets's calculate LCM of 98,67,74
2 | 98, 67, 74 |
49, 67, 37 |
∴ So the LCM of the given numbers is 2 x 49 x 67 x 37 = 242942
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242942
Therefore, the GCF of Fractions 189/98,661/67,929/74 is 1/242942
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 98,67,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,67,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(98,67,74) x common factors =1 x 2 = 2
LCM(98,67,74) = ( 98 × 67 × 74 ) / 2
LCM(98,67,74) = 485884 / 2
LCM(98,67,74) = 242942
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 189/98, 661/67, 929/74?
Answer: GCF of Numerators as per given numbers 189/98, 661/67, 929/74 is
GCF of Numerators i.e. for 189,661,929 is 1
LCM of denominators i.e. for 98,67,74 is 242942.
Thus, GCF of Fractions is 1/242942.Finally, GCF of Fractions for 189/98, 661/67, 929/74 is 1/242942.