Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6475/429,2843/577
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 6475,2843
Greatest Common Factor of Numerators i.e. GCF of 6475,2843 is 1 .
LCM of Denominators means LCM of 429,577 as per the given fractions.
LCM of 429,577 is 247533 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6475,2843
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6475
List of positive integer factors of 6475 that divides 6475 without a remainder.
1,5,7,25,35,37,175,185,259,925,1295,6475
Factors of 2843
List of positive integer factors of 2843 that divides 2843 without a remainder.
1,2843
Greatest Common Factor
We found the factors 6475,2843 . The biggest common factor number is the GCF number.
So the greatest common factor 6475,2843 is 1.
Lets's calculate LCM of 429,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 247533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/247533
Therefore, the GCF of Fractions 6475/429,2843/577 is 1/247533
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 429,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,577) x common factors =1 x 1 = 1
LCM(429,577) = ( 429 × 577 ) / 1
LCM(429,577) = 247533 / 1
LCM(429,577) = 247533
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 6475/429, 2843/577?
Answer: GCF of Numerators as per given numbers 6475/429, 2843/577 is
GCF of Numerators i.e. for 6475,2843 is 1
LCM of denominators i.e. for 429,577 is 247533.
Thus, GCF of Fractions is 1/247533.Finally, GCF of Fractions for 6475/429, 2843/577 is 1/247533.