Get help with finding GCF of fractions 5577/439, 2852/7942 using GCF of Fractions Calculator to know the result 1/3486538 the largest number that divides all the numbers with a zero remainder.
Greatest common factor (GCF) of 5577/439, 2852/7942 is 1/3486538.
GCF(5577/439, 2852/7942) = 1/3486538
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5577/439,2852/7942
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 5577,2852
Greatest Common Factor of Numerators i.e. GCF of 5577,2852 is 1 .
LCM of Denominators means LCM of 439,7942 as per the given fractions.
LCM of 439,7942 is 3486538 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5577,2852
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5577
List of positive integer factors of 5577 that divides 5577 without a remainder.
Factors of 2852
List of positive integer factors of 2852 that divides 2852 without a remainder.
Greatest Common Factor
We found the factors 5577,2852 . The biggest common factor number is the GCF number.
So the greatest common factor 5577,2852 is 1.
Lets's calculate LCM of 439,7942
Given numbers has no common factors except 1. So, there LCM is their product i.e 3486538
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3486538
Therefore, the GCF of Fractions 5577/439,2852/7942 is 1/3486538
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 439,7942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,7942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,7942) x common factors =1 x 1 = 1
LCM(439,7942) = ( 439 × 7942 ) / 1
LCM(439,7942) = 3486538 / 1
LCM(439,7942) = 3486538
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 5577/439, 2852/7942?
Answer: GCF of Numerators as per given numbers 5577/439, 2852/7942 is
GCF of Numerators i.e. for 5577,2852 is 1
LCM of denominators i.e. for 439,7942 is 3486538.
Thus, GCF of Fractions is 1/3486538.Finally, GCF of Fractions for 5577/439, 2852/7942 is 1/3486538.