Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 55/773,854/602,913/154
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 55,854,913
Greatest Common Factor of Numerators i.e. GCF of 55,854,913 is 1 .
LCM of Denominators means LCM of 773,602,154 as per the given fractions.
LCM of 773,602,154 is 5118806 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 55,854,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 55,854,913 . The biggest common factor number is the GCF number.
So the greatest common factor 55,854,913 is 1.
Lets's calculate LCM of 773,602,154
2 | 773, 602, 154 |
7 | 773, 301, 77 |
773, 43, 11 |
∴ So the LCM of the given numbers is 2 x 7 x 773 x 43 x 11 = 5118806
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5118806
Therefore, the GCF of Fractions 55/773,854/602,913/154 is 1/5118806
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 773,602,154 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,602,154) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(773,602,154) x common factors =1 x 14 = 14
LCM(773,602,154) = ( 773 × 602 × 154 ) / 14
LCM(773,602,154) = 71663284 / 14
LCM(773,602,154) = 5118806
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 55/773, 854/602, 913/154?
Answer: GCF of Numerators as per given numbers 55/773, 854/602, 913/154 is
GCF of Numerators i.e. for 55,854,913 is 1
LCM of denominators i.e. for 773,602,154 is 5118806.
Thus, GCF of Fractions is 1/5118806.Finally, GCF of Fractions for 55/773, 854/602, 913/154 is 1/5118806.