Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/805,544/773
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 748,544
Greatest Common Factor of Numerators i.e. GCF of 748,544 is 68 .
LCM of Denominators means LCM of 805,773 as per the given fractions.
LCM of 805,773 is 622265 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,544
2 | 748, 544 |
2 | 374, 272 |
17 | 187, 136 |
11, 8 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 748,544 . The biggest common factor number is the GCF number.
So the greatest common factor 748,544 is 68.
Lets's calculate LCM of 805,773
Given numbers has no common factors except 1. So, there LCM is their product i.e 622265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/622265
Therefore, the GCF of Fractions 748/805,544/773 is 68/622265
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 805,773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(805,773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(805,773) x common factors =1 x 1 = 1
LCM(805,773) = ( 805 × 773 ) / 1
LCM(805,773) = 622265 / 1
LCM(805,773) = 622265
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 748/805, 544/773?
Answer: GCF of Numerators as per given numbers 748/805, 544/773 is
GCF of Numerators i.e. for 748,544 is 68
LCM of denominators i.e. for 805,773 is 622265.
Thus, GCF of Fractions is 68/622265.Finally, GCF of Fractions for 748/805, 544/773 is 68/622265.