Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 602/981,545/869,222/355
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 602,545,222
Greatest Common Factor of Numerators i.e. GCF of 602,545,222 is 1 .
LCM of Denominators means LCM of 981,869,355 as per the given fractions.
LCM of 981,869,355 is 302633595 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 602,545,222
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 602
List of positive integer factors of 602 that divides 602 without a remainder.
1,2,7,14,43,86,301,602
Factors of 545
List of positive integer factors of 545 that divides 545 without a remainder.
1,5,109,545
Factors of 222
List of positive integer factors of 222 that divides 222 without a remainder.
1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 602,545,222 . The biggest common factor number is the GCF number.
So the greatest common factor 602,545,222 is 1.
Lets's calculate LCM of 981,869,355
Given numbers has no common factors except 1. So, there LCM is their product i.e 302633595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/302633595
Therefore, the GCF of Fractions 602/981,545/869,222/355 is 1/302633595
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 981,869,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(981,869,355) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(981,869,355) x common factors =1 x 1 = 1
LCM(981,869,355) = ( 981 × 869 × 355 ) / 1
LCM(981,869,355) = 302633595 / 1
LCM(981,869,355) = 302633595
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 602/981, 545/869, 222/355?
Answer: GCF of Numerators as per given numbers 602/981, 545/869, 222/355 is
GCF of Numerators i.e. for 602,545,222 is 1
LCM of denominators i.e. for 981,869,355 is 302633595.
Thus, GCF of Fractions is 1/302633595.Finally, GCF of Fractions for 602/981, 545/869, 222/355 is 1/302633595.