Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 760/816,6234/6657
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 760,6234
Greatest Common Factor of Numerators i.e. GCF of 760,6234 is 2 .
LCM of Denominators means LCM of 816,6657 as per the given fractions.
LCM of 816,6657 is 1810704 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 760,6234
2 | 760, 6234 |
380, 3117 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 760
List of positive integer factors of 760 that divides 760 without a remainder.
1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760
Factors of 6234
List of positive integer factors of 6234 that divides 6234 without a remainder.
1,2,3,6,1039,2078,3117,6234
Greatest Common Factor
We found the factors 760,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 760,6234 is 2.
Lets's calculate LCM of 816,6657
3 | 816, 6657 |
272, 2219 |
∴ So the LCM of the given numbers is 3 x 272 x 2219 = 1810704
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1810704
Therefore, the GCF of Fractions 760/816,6234/6657 is 2/1810704
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 816,6657 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,6657) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(816,6657) x common factors =3 x 1 = 3
LCM(816,6657) = ( 816 × 6657 ) / 3
LCM(816,6657) = 5432112 / 3
LCM(816,6657) = 1810704
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 760/816, 6234/6657?
Answer: GCF of Numerators as per given numbers 760/816, 6234/6657 is
GCF of Numerators i.e. for 760,6234 is 2
LCM of denominators i.e. for 816,6657 is 1810704.
Thus, GCF of Fractions is 2/1810704.Finally, GCF of Fractions for 760/816, 6234/6657 is 2/1810704.