Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 693/776,6490/774
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 693,6490
Greatest Common Factor of Numerators i.e. GCF of 693,6490 is 11 .
LCM of Denominators means LCM of 776,774 as per the given fractions.
LCM of 776,774 is 300312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 693,6490
11 | 693, 6490 |
63, 590 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Factors of 6490
List of positive integer factors of 6490 that divides 6490 without a remainder.
1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490
Greatest Common Factor
We found the factors 693,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 693,6490 is 11.
Lets's calculate LCM of 776,774
2 | 776, 774 |
388, 387 |
∴ So the LCM of the given numbers is 2 x 388 x 387 = 300312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/300312
Therefore, the GCF of Fractions 693/776,6490/774 is 11/300312
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 776,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,774) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,774) x common factors =2 x 1 = 2
LCM(776,774) = ( 776 × 774 ) / 2
LCM(776,774) = 600624 / 2
LCM(776,774) = 300312
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 693/776, 6490/774?
Answer: GCF of Numerators as per given numbers 693/776, 6490/774 is
GCF of Numerators i.e. for 693,6490 is 11
LCM of denominators i.e. for 776,774 is 300312.
Thus, GCF of Fractions is 11/300312.Finally, GCF of Fractions for 693/776, 6490/774 is 11/300312.