Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9799/560,6618/4765
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 9799,6618
Greatest Common Factor of Numerators i.e. GCF of 9799,6618 is 1 .
LCM of Denominators means LCM of 560,4765 as per the given fractions.
LCM of 560,4765 is 533680 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9799,6618
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9799
List of positive integer factors of 9799 that divides 9799 without a remainder.
1,41,239,9799
Factors of 6618
List of positive integer factors of 6618 that divides 6618 without a remainder.
1,2,3,6,1103,2206,3309,6618
Greatest Common Factor
We found the factors 9799,6618 . The biggest common factor number is the GCF number.
So the greatest common factor 9799,6618 is 1.
Lets's calculate LCM of 560,4765
5 | 560, 4765 |
112, 953 |
∴ So the LCM of the given numbers is 5 x 112 x 953 = 533680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/533680
Therefore, the GCF of Fractions 9799/560,6618/4765 is 1/533680
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 560,4765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(560,4765) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(560,4765) x common factors =5 x 1 = 5
LCM(560,4765) = ( 560 × 4765 ) / 5
LCM(560,4765) = 2668400 / 5
LCM(560,4765) = 533680
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 9799/560, 6618/4765?
Answer: GCF of Numerators as per given numbers 9799/560, 6618/4765 is
GCF of Numerators i.e. for 9799,6618 is 1
LCM of denominators i.e. for 560,4765 is 533680.
Thus, GCF of Fractions is 1/533680.Finally, GCF of Fractions for 9799/560, 6618/4765 is 1/533680.