Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 769/700,168/475,725/660
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 769,168,725
Greatest Common Factor of Numerators i.e. GCF of 769,168,725 is 1 .
LCM of Denominators means LCM of 700,475,660 as per the given fractions.
LCM of 700,475,660 is 438900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 769,168,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 769,168,725 . The biggest common factor number is the GCF number.
So the greatest common factor 769,168,725 is 1.
Lets's calculate LCM of 700,475,660
2 | 700, 475, 660 |
2 | 350, 475, 330 |
5 | 175, 475, 165 |
5 | 35, 95, 33 |
7, 19, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 7 x 19 x 33 = 438900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438900
Therefore, the GCF of Fractions 769/700,168/475,725/660 is 1/438900
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 700,475,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,475,660) = 5
common factors(in case of two or more numbers have common factors) = 100
GCF(700,475,660) x common factors =5 x 100 = 500
LCM(700,475,660) = ( 700 × 475 × 660 ) / 500
LCM(700,475,660) = 219450000 / 500
LCM(700,475,660) = 438900
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 769/700, 168/475, 725/660?
Answer: GCF of Numerators as per given numbers 769/700, 168/475, 725/660 is
GCF of Numerators i.e. for 769,168,725 is 1
LCM of denominators i.e. for 700,475,660 is 438900.
Thus, GCF of Fractions is 1/438900.Finally, GCF of Fractions for 769/700, 168/475, 725/660 is 1/438900.