Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7440/322,2510/307
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 7440,2510
Greatest Common Factor of Numerators i.e. GCF of 7440,2510 is 10 .
LCM of Denominators means LCM of 322,307 as per the given fractions.
LCM of 322,307 is 98854 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7440,2510
2 | 7440, 2510 |
5 | 3720, 1255 |
744, 251 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 7440
List of positive integer factors of 7440 that divides 7440 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,31,40,48,60,62,80,93,120,124,155,186,240,248,310,372,465,496,620,744,930,1240,1488,1860,2480,3720,7440
Factors of 2510
List of positive integer factors of 2510 that divides 2510 without a remainder.
1,2,5,10,251,502,1255,2510
Greatest Common Factor
We found the factors 7440,2510 . The biggest common factor number is the GCF number.
So the greatest common factor 7440,2510 is 10.
Lets's calculate LCM of 322,307
Given numbers has no common factors except 1. So, there LCM is their product i.e 98854
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/98854
Therefore, the GCF of Fractions 7440/322,2510/307 is 10/98854
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 322,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,307) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,307) x common factors =1 x 1 = 1
LCM(322,307) = ( 322 × 307 ) / 1
LCM(322,307) = 98854 / 1
LCM(322,307) = 98854
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 7440/322, 2510/307?
Answer: GCF of Numerators as per given numbers 7440/322, 2510/307 is
GCF of Numerators i.e. for 7440,2510 is 10
LCM of denominators i.e. for 322,307 is 98854.
Thus, GCF of Fractions is 10/98854.Finally, GCF of Fractions for 7440/322, 2510/307 is 10/98854.