Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 275/262,958/782,735/680
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 275,958,735
Greatest Common Factor of Numerators i.e. GCF of 275,958,735 is 1 .
LCM of Denominators means LCM of 262,782,680 as per the given fractions.
LCM of 262,782,680 is 2048840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 275,958,735
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 275
List of positive integer factors of 275 that divides 275 without a remainder.
1,5,11,25,55,275
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 735
List of positive integer factors of 735 that divides 735 without a remainder.
1,3,5,7,15,21,35,49,105,147,245,735
Greatest Common Factor
We found the factors 275,958,735 . The biggest common factor number is the GCF number.
So the greatest common factor 275,958,735 is 1.
Lets's calculate LCM of 262,782,680
2 | 262, 782, 680 |
17 | 131, 391, 340 |
131, 23, 20 |
∴ So the LCM of the given numbers is 2 x 17 x 131 x 23 x 20 = 2048840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2048840
Therefore, the GCF of Fractions 275/262,958/782,735/680 is 1/2048840
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 262,782,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(262,782,680) = 2
common factors(in case of two or more numbers have common factors) = 34
GCF(262,782,680) x common factors =2 x 34 = 68
LCM(262,782,680) = ( 262 × 782 × 680 ) / 68
LCM(262,782,680) = 139321120 / 68
LCM(262,782,680) = 2048840
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 275/262, 958/782, 735/680?
Answer: GCF of Numerators as per given numbers 275/262, 958/782, 735/680 is
GCF of Numerators i.e. for 275,958,735 is 1
LCM of denominators i.e. for 262,782,680 is 2048840.
Thus, GCF of Fractions is 1/2048840.Finally, GCF of Fractions for 275/262, 958/782, 735/680 is 1/2048840.