Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 496/77,704/837
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 496,704
Greatest Common Factor of Numerators i.e. GCF of 496,704 is 16 .
LCM of Denominators means LCM of 77,837 as per the given fractions.
LCM of 77,837 is 64449 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 496,704
2 | 496, 704 |
2 | 248, 352 |
2 | 124, 176 |
2 | 62, 88 |
31, 44 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 496,704 . The biggest common factor number is the GCF number.
So the greatest common factor 496,704 is 16.
Lets's calculate LCM of 77,837
Given numbers has no common factors except 1. So, there LCM is their product i.e 64449
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/64449
Therefore, the GCF of Fractions 496/77,704/837 is 16/64449
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 77,837 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,837) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,837) x common factors =1 x 1 = 1
LCM(77,837) = ( 77 × 837 ) / 1
LCM(77,837) = 64449 / 1
LCM(77,837) = 64449
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 496/77, 704/837?
Answer: GCF of Numerators as per given numbers 496/77, 704/837 is
GCF of Numerators i.e. for 496,704 is 16
LCM of denominators i.e. for 77,837 is 64449.
Thus, GCF of Fractions is 16/64449.Finally, GCF of Fractions for 496/77, 704/837 is 16/64449.