Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 358/43,265/85,545/644
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 358,265,545
Greatest Common Factor of Numerators i.e. GCF of 358,265,545 is 1 .
LCM of Denominators means LCM of 43,85,644 as per the given fractions.
LCM of 43,85,644 is 2353820 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 358,265,545
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 358
List of positive integer factors of 358 that divides 358 without a remainder.
1,2,179,358
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Greatest Common Factor
We found the factors 358,265,545 . The biggest common factor number is the GCF number.
So the greatest common factor 358,265,545 is 1.
Lets's calculate LCM of 43,85,644
Given numbers has no common factors except 1. So, there LCM is their product i.e 2353820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2353820
Therefore, the GCF of Fractions 358/43,265/85,545/644 is 1/2353820
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 43,85,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,85,644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,85,644) x common factors =1 x 1 = 1
LCM(43,85,644) = ( 43 × 85 × 644 ) / 1
LCM(43,85,644) = 2353820 / 1
LCM(43,85,644) = 2353820
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 358/43, 265/85, 545/644?
Answer: GCF of Numerators as per given numbers 358/43, 265/85, 545/644 is
GCF of Numerators i.e. for 358,265,545 is 1
LCM of denominators i.e. for 43,85,644 is 2353820.
Thus, GCF of Fractions is 1/2353820.Finally, GCF of Fractions for 358/43, 265/85, 545/644 is 1/2353820.