Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 173/716,365/862,829/768
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 173,365,829
Greatest Common Factor of Numerators i.e. GCF of 173,365,829 is 1 .
LCM of Denominators means LCM of 716,862,768 as per the given fractions.
LCM of 716,862,768 is 59250432 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 173,365,829
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 173
List of positive integer factors of 173 that divides 173 without a remainder.
1,173
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
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 173,365,829 . The biggest common factor number is the GCF number.
So the greatest common factor 173,365,829 is 1.
Lets's calculate LCM of 716,862,768
2 | 716, 862, 768 |
2 | 358, 431, 384 |
179, 431, 192 |
∴ So the LCM of the given numbers is 2 x 2 x 179 x 431 x 192 = 59250432
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59250432
Therefore, the GCF of Fractions 173/716,365/862,829/768 is 1/59250432
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 716,862,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,862,768) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(716,862,768) x common factors =2 x 4 = 8
LCM(716,862,768) = ( 716 × 862 × 768 ) / 8
LCM(716,862,768) = 474003456 / 8
LCM(716,862,768) = 59250432
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 173/716, 365/862, 829/768?
Answer: GCF of Numerators as per given numbers 173/716, 365/862, 829/768 is
GCF of Numerators i.e. for 173,365,829 is 1
LCM of denominators i.e. for 716,862,768 is 59250432.
Thus, GCF of Fractions is 1/59250432.Finally, GCF of Fractions for 173/716, 365/862, 829/768 is 1/59250432.