Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 484/890,737/824
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 484,737
Greatest Common Factor of Numerators i.e. GCF of 484,737 is 11 .
LCM of Denominators means LCM of 890,824 as per the given fractions.
LCM of 890,824 is 366680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 484,737
11 | 484, 737 |
44, 67 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 484
List of positive integer factors of 484 that divides 484 without a remainder.
1,2,4,11,22,44,121,242,484
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 484,737 . The biggest common factor number is the GCF number.
So the greatest common factor 484,737 is 11.
Lets's calculate LCM of 890,824
2 | 890, 824 |
445, 412 |
∴ So the LCM of the given numbers is 2 x 445 x 412 = 366680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/366680
Therefore, the GCF of Fractions 484/890,737/824 is 11/366680
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 890,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,824) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,824) x common factors =2 x 1 = 2
LCM(890,824) = ( 890 × 824 ) / 2
LCM(890,824) = 733360 / 2
LCM(890,824) = 366680
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 484/890, 737/824?
Answer: GCF of Numerators as per given numbers 484/890, 737/824 is
GCF of Numerators i.e. for 484,737 is 11
LCM of denominators i.e. for 890,824 is 366680.
Thus, GCF of Fractions is 11/366680.Finally, GCF of Fractions for 484/890, 737/824 is 11/366680.