Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 978/754,402/364,835/867
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 978,402,835
Greatest Common Factor of Numerators i.e. GCF of 978,402,835 is 1 .
LCM of Denominators means LCM of 754,364,867 as per the given fractions.
LCM of 754,364,867 is 9152052 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 978,402,835
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 978
List of positive integer factors of 978 that divides 978 without a remainder.
1,2,3,6,163,326,489,978
Factors of 402
List of positive integer factors of 402 that divides 402 without a remainder.
1,2,3,6,67,134,201,402
Factors of 835
List of positive integer factors of 835 that divides 835 without a remainder.
1,5,167,835
Greatest Common Factor
We found the factors 978,402,835 . The biggest common factor number is the GCF number.
So the greatest common factor 978,402,835 is 1.
Lets's calculate LCM of 754,364,867
2 | 754, 364, 867 |
13 | 377, 182, 867 |
29, 14, 867 |
∴ So the LCM of the given numbers is 2 x 13 x 29 x 14 x 867 = 9152052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9152052
Therefore, the GCF of Fractions 978/754,402/364,835/867 is 1/9152052
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 754,364,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,364,867) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(754,364,867) x common factors =1 x 26 = 26
LCM(754,364,867) = ( 754 × 364 × 867 ) / 26
LCM(754,364,867) = 237953352 / 26
LCM(754,364,867) = 9152052
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 978/754, 402/364, 835/867?
Answer: GCF of Numerators as per given numbers 978/754, 402/364, 835/867 is
GCF of Numerators i.e. for 978,402,835 is 1
LCM of denominators i.e. for 754,364,867 is 9152052.
Thus, GCF of Fractions is 1/9152052.Finally, GCF of Fractions for 978/754, 402/364, 835/867 is 1/9152052.