Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3432/634,8998/9451
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 3432,8998
Greatest Common Factor of Numerators i.e. GCF of 3432,8998 is 22 .
LCM of Denominators means LCM of 634,9451 as per the given fractions.
LCM of 634,9451 is 5991934 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3432,8998
2 | 3432, 8998 |
11 | 1716, 4499 |
156, 409 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 3432
List of positive integer factors of 3432 that divides 3432 without a remainder.
1,2,3,4,6,8,11,12,13,22,24,26,33,39,44,52,66,78,88,104,132,143,156,264,286,312,429,572,858,1144,1716,3432
Factors of 8998
List of positive integer factors of 8998 that divides 8998 without a remainder.
1,2,11,22,409,818,4499,8998
Greatest Common Factor
We found the factors 3432,8998 . The biggest common factor number is the GCF number.
So the greatest common factor 3432,8998 is 22.
Lets's calculate LCM of 634,9451
Given numbers has no common factors except 1. So, there LCM is their product i.e 5991934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/5991934
Therefore, the GCF of Fractions 3432/634,8998/9451 is 22/5991934
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 634,9451 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,9451) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,9451) x common factors =1 x 1 = 1
LCM(634,9451) = ( 634 × 9451 ) / 1
LCM(634,9451) = 5991934 / 1
LCM(634,9451) = 5991934
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 3432/634, 8998/9451?
Answer: GCF of Numerators as per given numbers 3432/634, 8998/9451 is
GCF of Numerators i.e. for 3432,8998 is 22
LCM of denominators i.e. for 634,9451 is 5991934.
Thus, GCF of Fractions is 22/5991934.Finally, GCF of Fractions for 3432/634, 8998/9451 is 22/5991934.