Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 77/429,6489/4820
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 77,6489
Greatest Common Factor of Numerators i.e. GCF of 77,6489 is 7 .
LCM of Denominators means LCM of 429,4820 as per the given fractions.
LCM of 429,4820 is 2067780 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 77,6489
7 | 77, 6489 |
11, 927 |
∴ So the GCF of the given numbers is 7 = 7
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 6489
List of positive integer factors of 6489 that divides 6489 without a remainder.
1,3,7,9,21,63,103,309,721,927,2163,6489
Greatest Common Factor
We found the factors 77,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 77,6489 is 7.
Lets's calculate LCM of 429,4820
Given numbers has no common factors except 1. So, there LCM is their product i.e 2067780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/2067780
Therefore, the GCF of Fractions 77/429,6489/4820 is 7/2067780
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 429,4820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(429,4820) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(429,4820) x common factors =1 x 1 = 1
LCM(429,4820) = ( 429 × 4820 ) / 1
LCM(429,4820) = 2067780 / 1
LCM(429,4820) = 2067780
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 77/429, 6489/4820?
Answer: GCF of Numerators as per given numbers 77/429, 6489/4820 is
GCF of Numerators i.e. for 77,6489 is 7
LCM of denominators i.e. for 429,4820 is 2067780.
Thus, GCF of Fractions is 7/2067780.Finally, GCF of Fractions for 77/429, 6489/4820 is 7/2067780.