Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8/53,670/61,624/21
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 8,670,624
Greatest Common Factor of Numerators i.e. GCF of 8,670,624 is 2 .
LCM of Denominators means LCM of 53,61,21 as per the given fractions.
LCM of 53,61,21 is 67893 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8,670,624
2 | 8, 670, 624 |
4, 335, 312 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 8
List of positive integer factors of 8 that divides 8 without a remainder.
1,2,4,8
Factors of 670
List of positive integer factors of 670 that divides 670 without a remainder.
1,2,5,10,67,134,335,670
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Greatest Common Factor
We found the factors 8,670,624 . The biggest common factor number is the GCF number.
So the greatest common factor 8,670,624 is 2.
Lets's calculate LCM of 53,61,21
Given numbers has no common factors except 1. So, there LCM is their product i.e 67893
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67893
Therefore, the GCF of Fractions 8/53,670/61,624/21 is 2/67893
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 53,61,21 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,61,21) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,61,21) x common factors =1 x 1 = 1
LCM(53,61,21) = ( 53 × 61 × 21 ) / 1
LCM(53,61,21) = 67893 / 1
LCM(53,61,21) = 67893
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 8/53, 670/61, 624/21?
Answer: GCF of Numerators as per given numbers 8/53, 670/61, 624/21 is
GCF of Numerators i.e. for 8,670,624 is 2
LCM of denominators i.e. for 53,61,21 is 67893.
Thus, GCF of Fractions is 2/67893.Finally, GCF of Fractions for 8/53, 670/61, 624/21 is 2/67893.