Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 181/645,245/701,611/736
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 181,245,611
Greatest Common Factor of Numerators i.e. GCF of 181,245,611 is 1 .
LCM of Denominators means LCM of 645,701,736 as per the given fractions.
LCM of 645,701,736 is 332778720 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 181,245,611
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 181
List of positive integer factors of 181 that divides 181 without a remainder.
1,181
Factors of 245
List of positive integer factors of 245 that divides 245 without a remainder.
1,5,7,35,49,245
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Greatest Common Factor
We found the factors 181,245,611 . The biggest common factor number is the GCF number.
So the greatest common factor 181,245,611 is 1.
Lets's calculate LCM of 645,701,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 332778720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/332778720
Therefore, the GCF of Fractions 181/645,245/701,611/736 is 1/332778720
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 645,701,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(645,701,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(645,701,736) x common factors =1 x 1 = 1
LCM(645,701,736) = ( 645 × 701 × 736 ) / 1
LCM(645,701,736) = 332778720 / 1
LCM(645,701,736) = 332778720
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 181/645, 245/701, 611/736?
Answer: GCF of Numerators as per given numbers 181/645, 245/701, 611/736 is
GCF of Numerators i.e. for 181,245,611 is 1
LCM of denominators i.e. for 645,701,736 is 332778720.
Thus, GCF of Fractions is 1/332778720.Finally, GCF of Fractions for 181/645, 245/701, 611/736 is 1/332778720.