Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/887,98/126,305/565
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 40,98,305
Greatest Common Factor of Numerators i.e. GCF of 40,98,305 is 1 .
LCM of Denominators means LCM of 887,126,565 as per the given fractions.
LCM of 887,126,565 is 63145530 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,98,305
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 305
List of positive integer factors of 305 that divides 305 without a remainder.
1,5,61,305
Greatest Common Factor
We found the factors 40,98,305 . The biggest common factor number is the GCF number.
So the greatest common factor 40,98,305 is 1.
Lets's calculate LCM of 887,126,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 63145530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/63145530
Therefore, the GCF of Fractions 40/887,98/126,305/565 is 1/63145530
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 887,126,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(887,126,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(887,126,565) x common factors =1 x 1 = 1
LCM(887,126,565) = ( 887 × 126 × 565 ) / 1
LCM(887,126,565) = 63145530 / 1
LCM(887,126,565) = 63145530
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 40/887, 98/126, 305/565?
Answer: GCF of Numerators as per given numbers 40/887, 98/126, 305/565 is
GCF of Numerators i.e. for 40,98,305 is 1
LCM of denominators i.e. for 887,126,565 is 63145530.
Thus, GCF of Fractions is 1/63145530.Finally, GCF of Fractions for 40/887, 98/126, 305/565 is 1/63145530.