Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 402/907,828/605,663/562
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 402,828,663
Greatest Common Factor of Numerators i.e. GCF of 402,828,663 is 3 .
LCM of Denominators means LCM of 907,605,562 as per the given fractions.
LCM of 907,605,562 is 308389070 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 402,828,663
3 | 402, 828, 663 |
134, 276, 221 |
∴ So the GCF of the given numbers is 3 = 3
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 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 402,828,663 . The biggest common factor number is the GCF number.
So the greatest common factor 402,828,663 is 3.
Lets's calculate LCM of 907,605,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 308389070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/308389070
Therefore, the GCF of Fractions 402/907,828/605,663/562 is 3/308389070
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 907,605,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(907,605,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(907,605,562) x common factors =1 x 1 = 1
LCM(907,605,562) = ( 907 × 605 × 562 ) / 1
LCM(907,605,562) = 308389070 / 1
LCM(907,605,562) = 308389070
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 402/907, 828/605, 663/562?
Answer: GCF of Numerators as per given numbers 402/907, 828/605, 663/562 is
GCF of Numerators i.e. for 402,828,663 is 3
LCM of denominators i.e. for 907,605,562 is 308389070.
Thus, GCF of Fractions is 3/308389070.Finally, GCF of Fractions for 402/907, 828/605, 663/562 is 3/308389070.