Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 735/640,3612/5630
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 735,3612
Greatest Common Factor of Numerators i.e. GCF of 735,3612 is 21 .
LCM of Denominators means LCM of 640,5630 as per the given fractions.
LCM of 640,5630 is 360320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 735,3612
3 | 735, 3612 |
7 | 245, 1204 |
35, 172 |
∴ So the GCF of the given numbers is 3 x 7 = 21
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 3612
List of positive integer factors of 3612 that divides 3612 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,43,84,86,129,172,258,301,516,602,903,1204,1806,3612
Greatest Common Factor
We found the factors 735,3612 . The biggest common factor number is the GCF number.
So the greatest common factor 735,3612 is 21.
Lets's calculate LCM of 640,5630
2 | 640, 5630 |
5 | 320, 2815 |
64, 563 |
∴ So the LCM of the given numbers is 2 x 5 x 64 x 563 = 360320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/360320
Therefore, the GCF of Fractions 735/640,3612/5630 is 21/360320
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 640,5630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,5630) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(640,5630) x common factors =10 x 1 = 10
LCM(640,5630) = ( 640 × 5630 ) / 10
LCM(640,5630) = 3603200 / 10
LCM(640,5630) = 360320
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 735/640, 3612/5630?
Answer: GCF of Numerators as per given numbers 735/640, 3612/5630 is
GCF of Numerators i.e. for 735,3612 is 21
LCM of denominators i.e. for 640,5630 is 360320.
Thus, GCF of Fractions is 21/360320.Finally, GCF of Fractions for 735/640, 3612/5630 is 21/360320.