Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 869/818,621/932,754/692
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 869,621,754
Greatest Common Factor of Numerators i.e. GCF of 869,621,754 is 1 .
LCM of Denominators means LCM of 818,932,692 as per the given fractions.
LCM of 818,932,692 is 65945524 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 869,621,754
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 621
List of positive integer factors of 621 that divides 621 without a remainder.
1,3,9,23,27,69,207,621
Factors of 754
List of positive integer factors of 754 that divides 754 without a remainder.
1,2,13,26,29,58,377,754
Greatest Common Factor
We found the factors 869,621,754 . The biggest common factor number is the GCF number.
So the greatest common factor 869,621,754 is 1.
Lets's calculate LCM of 818,932,692
2 | 818, 932, 692 |
2 | 409, 466, 346 |
409, 233, 173 |
∴ So the LCM of the given numbers is 2 x 2 x 409 x 233 x 173 = 65945524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/65945524
Therefore, the GCF of Fractions 869/818,621/932,754/692 is 1/65945524
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 818,932,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(818,932,692) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(818,932,692) x common factors =2 x 4 = 8
LCM(818,932,692) = ( 818 × 932 × 692 ) / 8
LCM(818,932,692) = 527564192 / 8
LCM(818,932,692) = 65945524
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 869/818, 621/932, 754/692?
Answer: GCF of Numerators as per given numbers 869/818, 621/932, 754/692 is
GCF of Numerators i.e. for 869,621,754 is 1
LCM of denominators i.e. for 818,932,692 is 65945524.
Thus, GCF of Fractions is 1/65945524.Finally, GCF of Fractions for 869/818, 621/932, 754/692 is 1/65945524.