Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 777/707,5896/5761
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 777,5896
Greatest Common Factor of Numerators i.e. GCF of 777,5896 is 1 .
LCM of Denominators means LCM of 707,5761 as per the given fractions.
LCM of 707,5761 is 581861 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 777,5896
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 777
List of positive integer factors of 777 that divides 777 without a remainder.
1,3,7,21,37,111,259,777
Factors of 5896
List of positive integer factors of 5896 that divides 5896 without a remainder.
1,2,4,8,11,22,44,67,88,134,268,536,737,1474,2948,5896
Greatest Common Factor
We found the factors 777,5896 . The biggest common factor number is the GCF number.
So the greatest common factor 777,5896 is 1.
Lets's calculate LCM of 707,5761
7 | 707, 5761 |
101, 823 |
∴ So the LCM of the given numbers is 7 x 101 x 823 = 581861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581861
Therefore, the GCF of Fractions 777/707,5896/5761 is 1/581861
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 707,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,5761) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(707,5761) x common factors =7 x 1 = 7
LCM(707,5761) = ( 707 × 5761 ) / 7
LCM(707,5761) = 4073027 / 7
LCM(707,5761) = 581861
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 777/707, 5896/5761?
Answer: GCF of Numerators as per given numbers 777/707, 5896/5761 is
GCF of Numerators i.e. for 777,5896 is 1
LCM of denominators i.e. for 707,5761 is 581861.
Thus, GCF of Fractions is 1/581861.Finally, GCF of Fractions for 777/707, 5896/5761 is 1/581861.