Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 278/765,683/738,951/595
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 278,683,951
Greatest Common Factor of Numerators i.e. GCF of 278,683,951 is 1 .
LCM of Denominators means LCM of 765,738,595 as per the given fractions.
LCM of 765,738,595 is 439110 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 278,683,951
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 278
List of positive integer factors of 278 that divides 278 without a remainder.
1,2,139,278
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 951
List of positive integer factors of 951 that divides 951 without a remainder.
1,3,317,951
Greatest Common Factor
We found the factors 278,683,951 . The biggest common factor number is the GCF number.
So the greatest common factor 278,683,951 is 1.
Lets's calculate LCM of 765,738,595
3 | 765, 738, 595 |
3 | 255, 246, 595 |
5 | 85, 82, 595 |
17 | 17, 82, 119 |
1, 82, 7 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 1 x 82 x 7 = 439110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/439110
Therefore, the GCF of Fractions 278/765,683/738,951/595 is 1/439110
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 765,738,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,738,595) = 1
common factors(in case of two or more numbers have common factors) = 765
GCF(765,738,595) x common factors =1 x 765 = 765
LCM(765,738,595) = ( 765 × 738 × 595 ) / 765
LCM(765,738,595) = 335919150 / 765
LCM(765,738,595) = 439110
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 278/765, 683/738, 951/595?
Answer: GCF of Numerators as per given numbers 278/765, 683/738, 951/595 is
GCF of Numerators i.e. for 278,683,951 is 1
LCM of denominators i.e. for 765,738,595 is 439110.
Thus, GCF of Fractions is 1/439110.Finally, GCF of Fractions for 278/765, 683/738, 951/595 is 1/439110.