GCF of 4497/570, 5499/7618
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4497/570, 5499/7618 i.e 3/2171130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4497/570, 5499/7618.
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 4497/570,5499/7618?
Given fractions are 4497/570,5499/7618
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 4497/570,5499/7618, numerators are 4497,5499
Denominators are 570,7618
The GCF of 4497,5499 is 3 .
LCM of 570,7618 is 2171130.
The greatest common factor of 4497/570,5499/7618 = [GCF of 4497,5499]/[LCM of 570,7618]= 3/2171130
Therefore, the GCF of 4497/570,5499/7618 is 3/2171130.
To find the highest common factor of 4497,5499, we have to find the factors of both numbers and list the highest common factor.
The factors of 4497 are 1, 3, 1499, 4497
The factors of 5499 are 1, 3, 9, 13, 39, 47, 117, 141, 423, 611, 1833, 5499
The HCF of 4497,5499 is 3.
Lets's calculate GCF of 4497,5499
| 3 | 4497, 5499 |
| 1499, 1833 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4497,5499 By Matching Biggest Common Factor Method
Now, list down the factors of 4497
:1,3,1499,4497
Now, list down the factors of 5499
:1,3,9,13,39,47,117,141,423,611,1833,5499
Greatest Common Factor
We found the factors 4497,5499 . The biggest common factor number is the GCF number.
So the greatest common factor 4497,5499 is 3.
Lets's calculate LCM of 570,7618
| 2 | 570, 7618 |
| 285, 3809 |
∴ So the LCM of the given numbers is 2 x 285 x 3809 = 2171130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2171130
Therefore, the GCF of Fractions 4497/570,5499/7618 is 3/2171130
Least Common Multiple of 570,7618 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 570,7618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(570,7618) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(570,7618) x common factors =2 x 1 = 2
LCM(570,7618) = ( 570 × 7618 ) / 2
LCM(570,7618) = 4342260 / 2
LCM(570,7618) = 2171130
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4497/570, 5499/7618
1. What is the HCF of 4497,5499?
The HCF of 4497,5499 is 3
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 4497/570, 5499/7618?
Answer: GCF of Numerators as per given numbers 4497/570, 5499/7618 is
GCF of Numerators i.e. for 4497,5499 is 3
LCM of denominators i.e. for 570,7618 is 2171130.
Thus, GCF of Fractions is 3/2171130.Finally, GCF of Fractions for 4497/570, 5499/7618 is 3/2171130.