Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 627/901,528/810
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 627,528
Greatest Common Factor of Numerators i.e. GCF of 627,528 is 33 .
LCM of Denominators means LCM of 901,810 as per the given fractions.
LCM of 901,810 is 729810 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 627,528
3 | 627, 528 |
11 | 209, 176 |
19, 16 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Greatest Common Factor
We found the factors 627,528 . The biggest common factor number is the GCF number.
So the greatest common factor 627,528 is 33.
Lets's calculate LCM of 901,810
Given numbers has no common factors except 1. So, there LCM is their product i.e 729810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/729810
Therefore, the GCF of Fractions 627/901,528/810 is 33/729810
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 901,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,810) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,810) x common factors =1 x 1 = 1
LCM(901,810) = ( 901 × 810 ) / 1
LCM(901,810) = 729810 / 1
LCM(901,810) = 729810
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 627/901, 528/810?
Answer: GCF of Numerators as per given numbers 627/901, 528/810 is
GCF of Numerators i.e. for 627,528 is 33
LCM of denominators i.e. for 901,810 is 729810.
Thus, GCF of Fractions is 33/729810.Finally, GCF of Fractions for 627/901, 528/810 is 33/729810.