GCF of 6603/249, 5033/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6603/249, 5033/873 i.e 1/72459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6603/249, 5033/873.
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 6603/249,5033/873?
Given fractions are 6603/249,5033/873
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 6603/249,5033/873, numerators are 6603,5033
Denominators are 249,873
The GCF of 6603,5033 is 1 .
LCM of 249,873 is 72459.
The greatest common factor of 6603/249,5033/873 = [GCF of 6603,5033]/[LCM of 249,873]= 1/72459
Therefore, the GCF of 6603/249,5033/873 is 1/72459.
To find the highest common factor of 6603,5033, we have to find the factors of both numbers and list the highest common factor.
The factors of 6603 are 1, 3, 31, 71, 93, 213, 2201, 6603
The factors of 5033 are 1, 7, 719, 5033
The HCF of 6603,5033 is 1.
Lets's calculate GCF of 6603,5033
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6603,5033 By Matching Biggest Common Factor Method
Now, list down the factors of 6603
:1,3,31,71,93,213,2201,6603
Now, list down the factors of 5033
:1,7,719,5033
Greatest Common Factor
We found the factors 6603,5033 . The biggest common factor number is the GCF number.
So the greatest common factor 6603,5033 is 1.
Lets's calculate LCM of 249,873
| 3 | 249, 873 |
| 83, 291 |
∴ So the LCM of the given numbers is 3 x 83 x 291 = 72459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72459
Therefore, the GCF of Fractions 6603/249,5033/873 is 1/72459
Least Common Multiple of 249,873 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 249,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,873) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,873) x common factors =3 x 1 = 3
LCM(249,873) = ( 249 × 873 ) / 3
LCM(249,873) = 217377 / 3
LCM(249,873) = 72459
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FAQs on GCF of Fractions of 6603/249, 5033/873
1. What is the HCF of 6603,5033?
The HCF of 6603,5033 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 6603/249, 5033/873?
Answer: GCF of Numerators as per given numbers 6603/249, 5033/873 is
GCF of Numerators i.e. for 6603,5033 is 1
LCM of denominators i.e. for 249,873 is 72459.
Thus, GCF of Fractions is 1/72459.Finally, GCF of Fractions for 6603/249, 5033/873 is 1/72459.