GCF of 6049/969, 9846/562
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6049/969, 9846/562 i.e 1/544578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6049/969, 9846/562.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6049/969,9846/562?
Given fractions are 6049/969,9846/562
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6049/969,9846/562, numerators are 6049,9846
Denominators are 969,562
The GCF of 6049,9846 is 1 .
LCM of 969,562 is 544578.
The greatest common factor of 6049/969,9846/562 = [GCF of 6049,9846]/[LCM of 969,562]= 1/544578
Therefore, the GCF of 6049/969,9846/562 is 1/544578.
To find the highest common factor of 6049,9846, we have to find the factors of both numbers and list the highest common factor.
The factors of 6049 are 1, 23, 263, 6049
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The HCF of 6049,9846 is 1.
Lets's calculate GCF of 6049,9846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6049,9846 By Matching Biggest Common Factor Method
Now, list down the factors of 6049
:1,23,263,6049
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Greatest Common Factor
We found the factors 6049,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 6049,9846 is 1.
Lets's calculate LCM of 969,562
Given numbers has no common factors except 1. So, there LCM is their product i.e 544578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/544578
Therefore, the GCF of Fractions 6049/969,9846/562 is 1/544578
Least Common Multiple of 969,562 with GCF Formula
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 969,562 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,562) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(969,562) x common factors =1 x 1 = 1
LCM(969,562) = ( 969 × 562 ) / 1
LCM(969,562) = 544578 / 1
LCM(969,562) = 544578
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6049/969, 9846/562
1. What is the HCF of 6049,9846?
The HCF of 6049,9846 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 6049/969, 9846/562?
Answer: GCF of Numerators as per given numbers 6049/969, 9846/562 is
GCF of Numerators i.e. for 6049,9846 is 1
LCM of denominators i.e. for 969,562 is 544578.
Thus, GCF of Fractions is 1/544578.Finally, GCF of Fractions for 6049/969, 9846/562 is 1/544578.