Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 770/834,723/248,829/992
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 770,723,829
Greatest Common Factor of Numerators i.e. GCF of 770,723,829 is 1 .
LCM of Denominators means LCM of 834,248,992 as per the given fractions.
LCM of 834,248,992 is 413664 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 770,723,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 770
List of positive integer factors of 770 that divides 770 without a remainder.
1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770
Factors of 723
List of positive integer factors of 723 that divides 723 without a remainder.
1,3,241,723
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Greatest Common Factor
We found the factors 770,723,829 . The biggest common factor number is the GCF number.
So the greatest common factor 770,723,829 is 1.
Lets's calculate LCM of 834,248,992
2 | 834, 248, 992 |
2 | 417, 124, 496 |
2 | 417, 62, 248 |
31 | 417, 31, 124 |
417, 1, 4 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 31 x 417 x 1 x 4 = 413664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/413664
Therefore, the GCF of Fractions 770/834,723/248,829/992 is 1/413664
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 834,248,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(834,248,992) = 2
common factors(in case of two or more numbers have common factors) = 248
GCF(834,248,992) x common factors =2 x 248 = 496
LCM(834,248,992) = ( 834 × 248 × 992 ) / 496
LCM(834,248,992) = 205177344 / 496
LCM(834,248,992) = 413664
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 770/834, 723/248, 829/992?
Answer: GCF of Numerators as per given numbers 770/834, 723/248, 829/992 is
GCF of Numerators i.e. for 770,723,829 is 1
LCM of denominators i.e. for 834,248,992 is 413664.
Thus, GCF of Fractions is 1/413664.Finally, GCF of Fractions for 770/834, 723/248, 829/992 is 1/413664.