Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 697/694,531/410,911/114
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 697,531,911
Greatest Common Factor of Numerators i.e. GCF of 697,531,911 is 1 .
LCM of Denominators means LCM of 694,410,114 as per the given fractions.
LCM of 694,410,114 is 8109390 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 697,531,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 697
List of positive integer factors of 697 that divides 697 without a remainder.
1,17,41,697
Factors of 531
List of positive integer factors of 531 that divides 531 without a remainder.
1,3,9,59,177,531
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 697,531,911 . The biggest common factor number is the GCF number.
So the greatest common factor 697,531,911 is 1.
Lets's calculate LCM of 694,410,114
2 | 694, 410, 114 |
347, 205, 57 |
∴ So the LCM of the given numbers is 2 x 347 x 205 x 57 = 8109390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8109390
Therefore, the GCF of Fractions 697/694,531/410,911/114 is 1/8109390
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 694,410,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,410,114) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(694,410,114) x common factors =2 x 2 = 4
LCM(694,410,114) = ( 694 × 410 × 114 ) / 4
LCM(694,410,114) = 32437560 / 4
LCM(694,410,114) = 8109390
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 697/694, 531/410, 911/114?
Answer: GCF of Numerators as per given numbers 697/694, 531/410, 911/114 is
GCF of Numerators i.e. for 697,531,911 is 1
LCM of denominators i.e. for 694,410,114 is 8109390.
Thus, GCF of Fractions is 1/8109390.Finally, GCF of Fractions for 697/694, 531/410, 911/114 is 1/8109390.