Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3475/529,4378/1924
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 3475,4378
Greatest Common Factor of Numerators i.e. GCF of 3475,4378 is 1 .
LCM of Denominators means LCM of 529,1924 as per the given fractions.
LCM of 529,1924 is 1017796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3475,4378
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3475
List of positive integer factors of 3475 that divides 3475 without a remainder.
1,5,25,139,695,3475
Factors of 4378
List of positive integer factors of 4378 that divides 4378 without a remainder.
1,2,11,22,199,398,2189,4378
Greatest Common Factor
We found the factors 3475,4378 . The biggest common factor number is the GCF number.
So the greatest common factor 3475,4378 is 1.
Lets's calculate LCM of 529,1924
Given numbers has no common factors except 1. So, there LCM is their product i.e 1017796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1017796
Therefore, the GCF of Fractions 3475/529,4378/1924 is 1/1017796
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 529,1924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,1924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,1924) x common factors =1 x 1 = 1
LCM(529,1924) = ( 529 × 1924 ) / 1
LCM(529,1924) = 1017796 / 1
LCM(529,1924) = 1017796
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 3475/529, 4378/1924?
Answer: GCF of Numerators as per given numbers 3475/529, 4378/1924 is
GCF of Numerators i.e. for 3475,4378 is 1
LCM of denominators i.e. for 529,1924 is 1017796.
Thus, GCF of Fractions is 1/1017796.Finally, GCF of Fractions for 3475/529, 4378/1924 is 1/1017796.