Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 790/128,4620/160
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 790,4620
Greatest Common Factor of Numerators i.e. GCF of 790,4620 is 10 .
LCM of Denominators means LCM of 128,160 as per the given fractions.
LCM of 128,160 is 640 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 790,4620
2 | 790, 4620 |
5 | 395, 2310 |
79, 462 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 4620
List of positive integer factors of 4620 that divides 4620 without a remainder.
1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620
Greatest Common Factor
We found the factors 790,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 790,4620 is 10.
Lets's calculate LCM of 128,160
2 | 128, 160 |
2 | 64, 80 |
2 | 32, 40 |
2 | 16, 20 |
2 | 8, 10 |
4, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 4 x 5 = 640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/640
Therefore, the GCF of Fractions 790/128,4620/160 is 10/640
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 128,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(128,160) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(128,160) x common factors =32 x 1 = 32
LCM(128,160) = ( 128 × 160 ) / 32
LCM(128,160) = 20480 / 32
LCM(128,160) = 640
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 790/128, 4620/160?
Answer: GCF of Numerators as per given numbers 790/128, 4620/160 is
GCF of Numerators i.e. for 790,4620 is 10
LCM of denominators i.e. for 128,160 is 640.
Thus, GCF of Fractions is 10/640.Finally, GCF of Fractions for 790/128, 4620/160 is 10/640.