Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4155/621,4294/5632
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 4155,4294
Greatest Common Factor of Numerators i.e. GCF of 4155,4294 is 1 .
LCM of Denominators means LCM of 621,5632 as per the given fractions.
LCM of 621,5632 is 3497472 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4155,4294
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4155
List of positive integer factors of 4155 that divides 4155 without a remainder.
1,3,5,15,277,831,1385,4155
Factors of 4294
List of positive integer factors of 4294 that divides 4294 without a remainder.
1,2,19,38,113,226,2147,4294
Greatest Common Factor
We found the factors 4155,4294 . The biggest common factor number is the GCF number.
So the greatest common factor 4155,4294 is 1.
Lets's calculate LCM of 621,5632
Given numbers has no common factors except 1. So, there LCM is their product i.e 3497472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3497472
Therefore, the GCF of Fractions 4155/621,4294/5632 is 1/3497472
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 621,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,5632) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,5632) x common factors =1 x 1 = 1
LCM(621,5632) = ( 621 × 5632 ) / 1
LCM(621,5632) = 3497472 / 1
LCM(621,5632) = 3497472
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 4155/621, 4294/5632?
Answer: GCF of Numerators as per given numbers 4155/621, 4294/5632 is
GCF of Numerators i.e. for 4155,4294 is 1
LCM of denominators i.e. for 621,5632 is 3497472.
Thus, GCF of Fractions is 1/3497472.Finally, GCF of Fractions for 4155/621, 4294/5632 is 1/3497472.