Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 696/80,6757/461
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 696,6757
Greatest Common Factor of Numerators i.e. GCF of 696,6757 is 29 .
LCM of Denominators means LCM of 80,461 as per the given fractions.
LCM of 80,461 is 36880 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 696,6757
29 | 696, 6757 |
24, 233 |
∴ So the GCF of the given numbers is 29 = 29
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 6757
List of positive integer factors of 6757 that divides 6757 without a remainder.
1,29,233,6757
Greatest Common Factor
We found the factors 696,6757 . The biggest common factor number is the GCF number.
So the greatest common factor 696,6757 is 29.
Lets's calculate LCM of 80,461
Given numbers has no common factors except 1. So, there LCM is their product i.e 36880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/36880
Therefore, the GCF of Fractions 696/80,6757/461 is 29/36880
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 80,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,461) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(80,461) x common factors =1 x 1 = 1
LCM(80,461) = ( 80 × 461 ) / 1
LCM(80,461) = 36880 / 1
LCM(80,461) = 36880
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 696/80, 6757/461?
Answer: GCF of Numerators as per given numbers 696/80, 6757/461 is
GCF of Numerators i.e. for 696,6757 is 29
LCM of denominators i.e. for 80,461 is 36880.
Thus, GCF of Fractions is 29/36880.Finally, GCF of Fractions for 696/80, 6757/461 is 29/36880.