GCF of 4649/349, 7692/990
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4649/349, 7692/990 i.e 1/345510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4649/349, 7692/990.
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 4649/349,7692/990?
Given fractions are 4649/349,7692/990
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 4649/349,7692/990, numerators are 4649,7692
Denominators are 349,990
The GCF of 4649,7692 is 1 .
LCM of 349,990 is 345510.
The greatest common factor of 4649/349,7692/990 = [GCF of 4649,7692]/[LCM of 349,990]= 1/345510
Therefore, the GCF of 4649/349,7692/990 is 1/345510.
To find the highest common factor of 4649,7692, we have to find the factors of both numbers and list the highest common factor.
The factors of 4649 are 1, 4649
The factors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, 7692
The HCF of 4649,7692 is 1.
Lets's calculate GCF of 4649,7692
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4649,7692 By Matching Biggest Common Factor Method
Now, list down the factors of 4649
:1,4649
Now, list down the factors of 7692
:1,2,3,4,6,12,641,1282,1923,2564,3846,7692
Greatest Common Factor
We found the factors 4649,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 4649,7692 is 1.
Lets's calculate LCM of 349,990
Given numbers has no common factors except 1. So, there LCM is their product i.e 345510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/345510
Therefore, the GCF of Fractions 4649/349,7692/990 is 1/345510
Least Common Multiple of 349,990 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 349,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,990) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,990) x common factors =1 x 1 = 1
LCM(349,990) = ( 349 × 990 ) / 1
LCM(349,990) = 345510 / 1
LCM(349,990) = 345510
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4649/349, 7692/990
1. What is the HCF of 4649,7692?
The HCF of 4649,7692 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 4649/349, 7692/990?
Answer: GCF of Numerators as per given numbers 4649/349, 7692/990 is
GCF of Numerators i.e. for 4649,7692 is 1
LCM of denominators i.e. for 349,990 is 345510.
Thus, GCF of Fractions is 1/345510.Finally, GCF of Fractions for 4649/349, 7692/990 is 1/345510.