Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 184/60,358/71,597/984
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 184,358,597
Greatest Common Factor of Numerators i.e. GCF of 184,358,597 is 1 .
LCM of Denominators means LCM of 60,71,984 as per the given fractions.
LCM of 60,71,984 is 349320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 184,358,597
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 597
List of positive integer factors of 597 that divides 597 without a remainder.
1,3,199,597
Greatest Common Factor
We found the factors 184,358,597 . The biggest common factor number is the GCF number.
So the greatest common factor 184,358,597 is 1.
Lets's calculate LCM of 60,71,984
2 | 60, 71, 984 |
2 | 30, 71, 492 |
3 | 15, 71, 246 |
5, 71, 82 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 71 x 82 = 349320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/349320
Therefore, the GCF of Fractions 184/60,358/71,597/984 is 1/349320
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 60,71,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,71,984) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(60,71,984) x common factors =1 x 12 = 12
LCM(60,71,984) = ( 60 × 71 × 984 ) / 12
LCM(60,71,984) = 4191840 / 12
LCM(60,71,984) = 349320
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 184/60, 358/71, 597/984?
Answer: GCF of Numerators as per given numbers 184/60, 358/71, 597/984 is
GCF of Numerators i.e. for 184,358,597 is 1
LCM of denominators i.e. for 60,71,984 is 349320.
Thus, GCF of Fractions is 1/349320.Finally, GCF of Fractions for 184/60, 358/71, 597/984 is 1/349320.