Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/649,4004/678
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 735,4004
Greatest Common Factor of Numerators i.e. GCF of 735,4004 is 7 .
LCM of Denominators means LCM of 649,678 as per the given fractions.
LCM of 649,678 is 440022 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 735,4004
7 | 735, 4004 |
105, 572 |
∴ So the GCF of the given numbers is 7 = 7
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
Factors of 4004
List of positive integer factors of 4004 that divides 4004 without a remainder.
1,2,4,7,11,13,14,22,26,28,44,52,77,91,143,154,182,286,308,364,572,1001,2002,4004
Greatest Common Factor
We found the factors 735,4004 . The biggest common factor number is the GCF number.
So the greatest common factor 735,4004 is 7.
Lets's calculate LCM of 649,678
Given numbers has no common factors except 1. So, there LCM is their product i.e 440022
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/440022
Therefore, the GCF of Fractions 735/649,4004/678 is 7/440022
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 649,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,678) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,678) x common factors =1 x 1 = 1
LCM(649,678) = ( 649 × 678 ) / 1
LCM(649,678) = 440022 / 1
LCM(649,678) = 440022
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 735/649, 4004/678?
Answer: GCF of Numerators as per given numbers 735/649, 4004/678 is
GCF of Numerators i.e. for 735,4004 is 7
LCM of denominators i.e. for 649,678 is 440022.
Thus, GCF of Fractions is 7/440022.Finally, GCF of Fractions for 735/649, 4004/678 is 7/440022.