Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 217/634,525/493,560/928
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 217,525,560
Greatest Common Factor of Numerators i.e. GCF of 217,525,560 is 7 .
LCM of Denominators means LCM of 634,493,928 as per the given fractions.
LCM of 634,493,928 is 5000992 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 217,525,560
7 | 217, 525, 560 |
31, 75, 80 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 217
List of positive integer factors of 217 that divides 217 without a remainder.
1,7,31,217
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 217,525,560 . The biggest common factor number is the GCF number.
So the greatest common factor 217,525,560 is 7.
Lets's calculate LCM of 634,493,928
2 | 634, 493, 928 |
29 | 317, 493, 464 |
317, 17, 16 |
∴ So the LCM of the given numbers is 2 x 29 x 317 x 17 x 16 = 5000992
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5000992
Therefore, the GCF of Fractions 217/634,525/493,560/928 is 7/5000992
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 634,493,928 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,493,928) = 1
common factors(in case of two or more numbers have common factors) = 58
GCF(634,493,928) x common factors =1 x 58 = 58
LCM(634,493,928) = ( 634 × 493 × 928 ) / 58
LCM(634,493,928) = 290057536 / 58
LCM(634,493,928) = 5000992
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 217/634, 525/493, 560/928?
Answer: GCF of Numerators as per given numbers 217/634, 525/493, 560/928 is
GCF of Numerators i.e. for 217,525,560 is 7
LCM of denominators i.e. for 634,493,928 is 5000992.
Thus, GCF of Fractions is 7/5000992.Finally, GCF of Fractions for 217/634, 525/493, 560/928 is 7/5000992.