Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 528/638,6787/905
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 528,6787
Greatest Common Factor of Numerators i.e. GCF of 528,6787 is 11 .
LCM of Denominators means LCM of 638,905 as per the given fractions.
LCM of 638,905 is 577390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 528,6787
11 | 528, 6787 |
48, 617 |
∴ So the GCF of the given numbers is 11 = 11
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
Factors of 6787
List of positive integer factors of 6787 that divides 6787 without a remainder.
1,11,617,6787
Greatest Common Factor
We found the factors 528,6787 . The biggest common factor number is the GCF number.
So the greatest common factor 528,6787 is 11.
Lets's calculate LCM of 638,905
Given numbers has no common factors except 1. So, there LCM is their product i.e 577390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/577390
Therefore, the GCF of Fractions 528/638,6787/905 is 11/577390
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 638,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,905) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,905) x common factors =1 x 1 = 1
LCM(638,905) = ( 638 × 905 ) / 1
LCM(638,905) = 577390 / 1
LCM(638,905) = 577390
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 528/638, 6787/905?
Answer: GCF of Numerators as per given numbers 528/638, 6787/905 is
GCF of Numerators i.e. for 528,6787 is 11
LCM of denominators i.e. for 638,905 is 577390.
Thus, GCF of Fractions is 11/577390.Finally, GCF of Fractions for 528/638, 6787/905 is 11/577390.