Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 620/10,528/27,152/562
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 620,528,152
Greatest Common Factor of Numerators i.e. GCF of 620,528,152 is 4 .
LCM of Denominators means LCM of 10,27,562 as per the given fractions.
LCM of 10,27,562 is 75870 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 620,528,152
2 | 620, 528, 152 |
2 | 310, 264, 76 |
155, 132, 38 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Factors of 528
List of positive integer factors of 528 that divides 528 without a remainder.
1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528
Factors of 152
List of positive integer factors of 152 that divides 152 without a remainder.
1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 620,528,152 . The biggest common factor number is the GCF number.
So the greatest common factor 620,528,152 is 4.
Lets's calculate LCM of 10,27,562
2 | 10, 27, 562 |
5, 27, 281 |
∴ So the LCM of the given numbers is 2 x 5 x 27 x 281 = 75870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/75870
Therefore, the GCF of Fractions 620/10,528/27,152/562 is 4/75870
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 10,27,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,27,562) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(10,27,562) x common factors =1 x 2 = 2
LCM(10,27,562) = ( 10 × 27 × 562 ) / 2
LCM(10,27,562) = 151740 / 2
LCM(10,27,562) = 75870
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 620/10, 528/27, 152/562?
Answer: GCF of Numerators as per given numbers 620/10, 528/27, 152/562 is
GCF of Numerators i.e. for 620,528,152 is 4
LCM of denominators i.e. for 10,27,562 is 75870.
Thus, GCF of Fractions is 4/75870.Finally, GCF of Fractions for 620/10, 528/27, 152/562 is 4/75870.