GCF of 4799/172, 6598/4134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4799/172, 6598/4134 i.e 1/355524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4799/172, 6598/4134.
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 4799/172,6598/4134?
Given fractions are 4799/172,6598/4134
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 4799/172,6598/4134, numerators are 4799,6598
Denominators are 172,4134
The GCF of 4799,6598 is 1 .
LCM of 172,4134 is 355524.
The greatest common factor of 4799/172,6598/4134 = [GCF of 4799,6598]/[LCM of 172,4134]= 1/355524
Therefore, the GCF of 4799/172,6598/4134 is 1/355524.
To find the highest common factor of 4799,6598, we have to find the factors of both numbers and list the highest common factor.
The factors of 4799 are 1, 4799
The factors of 6598 are 1, 2, 3299, 6598
The HCF of 4799,6598 is 1.
Lets's calculate GCF of 4799,6598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4799,6598 By Matching Biggest Common Factor Method
Now, list down the factors of 4799
:1,4799
Now, list down the factors of 6598
:1,2,3299,6598
Greatest Common Factor
We found the factors 4799,6598 . The biggest common factor number is the GCF number.
So the greatest common factor 4799,6598 is 1.
Lets's calculate LCM of 172,4134
| 2 | 172, 4134 |
| 86, 2067 |
∴ So the LCM of the given numbers is 2 x 86 x 2067 = 355524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/355524
Therefore, the GCF of Fractions 4799/172,6598/4134 is 1/355524
Least Common Multiple of 172,4134 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 172,4134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,4134) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(172,4134) x common factors =2 x 1 = 2
LCM(172,4134) = ( 172 × 4134 ) / 2
LCM(172,4134) = 711048 / 2
LCM(172,4134) = 355524
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4799/172, 6598/4134
1. What is the HCF of 4799,6598?
The HCF of 4799,6598 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 4799/172, 6598/4134?
Answer: GCF of Numerators as per given numbers 4799/172, 6598/4134 is
GCF of Numerators i.e. for 4799,6598 is 1
LCM of denominators i.e. for 172,4134 is 355524.
Thus, GCF of Fractions is 1/355524.Finally, GCF of Fractions for 4799/172, 6598/4134 is 1/355524.