Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 672/31,3720/150
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 672,3720
Greatest Common Factor of Numerators i.e. GCF of 672,3720 is 24 .
LCM of Denominators means LCM of 31,150 as per the given fractions.
LCM of 31,150 is 4650 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 672,3720
2 | 672, 3720 |
2 | 336, 1860 |
2 | 168, 930 |
3 | 84, 465 |
28, 155 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Factors of 672
List of positive integer factors of 672 that divides 672 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672
Factors of 3720
List of positive integer factors of 3720 that divides 3720 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,31,40,60,62,93,120,124,155,186,248,310,372,465,620,744,930,1240,1860,3720
Greatest Common Factor
We found the factors 672,3720 . The biggest common factor number is the GCF number.
So the greatest common factor 672,3720 is 24.
Lets's calculate LCM of 31,150
Given numbers has no common factors except 1. So, there LCM is their product i.e 4650
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/4650
Therefore, the GCF of Fractions 672/31,3720/150 is 24/4650
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 31,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,150) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,150) x common factors =1 x 1 = 1
LCM(31,150) = ( 31 × 150 ) / 1
LCM(31,150) = 4650 / 1
LCM(31,150) = 4650
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 672/31, 3720/150?
Answer: GCF of Numerators as per given numbers 672/31, 3720/150 is
GCF of Numerators i.e. for 672,3720 is 24
LCM of denominators i.e. for 31,150 is 4650.
Thus, GCF of Fractions is 24/4650.Finally, GCF of Fractions for 672/31, 3720/150 is 24/4650.