Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 762/791,5084/846
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 762,5084
Greatest Common Factor of Numerators i.e. GCF of 762,5084 is 2 .
LCM of Denominators means LCM of 791,846 as per the given fractions.
LCM of 791,846 is 669186 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 762,5084
2 | 762, 5084 |
381, 2542 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 762
List of positive integer factors of 762 that divides 762 without a remainder.
1,2,3,6,127,254,381,762
Factors of 5084
List of positive integer factors of 5084 that divides 5084 without a remainder.
1,2,4,31,41,62,82,124,164,1271,2542,5084
Greatest Common Factor
We found the factors 762,5084 . The biggest common factor number is the GCF number.
So the greatest common factor 762,5084 is 2.
Lets's calculate LCM of 791,846
Given numbers has no common factors except 1. So, there LCM is their product i.e 669186
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/669186
Therefore, the GCF of Fractions 762/791,5084/846 is 2/669186
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 791,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(791,846) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(791,846) x common factors =1 x 1 = 1
LCM(791,846) = ( 791 × 846 ) / 1
LCM(791,846) = 669186 / 1
LCM(791,846) = 669186
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 762/791, 5084/846?
Answer: GCF of Numerators as per given numbers 762/791, 5084/846 is
GCF of Numerators i.e. for 762,5084 is 2
LCM of denominators i.e. for 791,846 is 669186.
Thus, GCF of Fractions is 2/669186.Finally, GCF of Fractions for 762/791, 5084/846 is 2/669186.