GCF of 9973/924, 5205/7719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9973/924, 5205/7719 i.e 1/2377452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9973/924, 5205/7719.
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 9973/924,5205/7719?
Given fractions are 9973/924,5205/7719
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 9973/924,5205/7719, numerators are 9973,5205
Denominators are 924,7719
The GCF of 9973,5205 is 1 .
LCM of 924,7719 is 2377452.
The greatest common factor of 9973/924,5205/7719 = [GCF of 9973,5205]/[LCM of 924,7719]= 1/2377452
Therefore, the GCF of 9973/924,5205/7719 is 1/2377452.
To find the highest common factor of 9973,5205, we have to find the factors of both numbers and list the highest common factor.
The factors of 9973 are 1, 9973
The factors of 5205 are 1, 3, 5, 15, 347, 1041, 1735, 5205
The HCF of 9973,5205 is 1.
Lets's calculate GCF of 9973,5205
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9973,5205 By Matching Biggest Common Factor Method
Now, list down the factors of 9973
:1,9973
Now, list down the factors of 5205
:1,3,5,15,347,1041,1735,5205
Greatest Common Factor
We found the factors 9973,5205 . The biggest common factor number is the GCF number.
So the greatest common factor 9973,5205 is 1.
Lets's calculate LCM of 924,7719
| 3 | 924, 7719 |
| 308, 2573 |
∴ So the LCM of the given numbers is 3 x 308 x 2573 = 2377452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2377452
Therefore, the GCF of Fractions 9973/924,5205/7719 is 1/2377452
Least Common Multiple of 924,7719 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 924,7719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(924,7719) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(924,7719) x common factors =3 x 1 = 3
LCM(924,7719) = ( 924 × 7719 ) / 3
LCM(924,7719) = 7132356 / 3
LCM(924,7719) = 2377452
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9973/924, 5205/7719
1. What is the HCF of 9973,5205?
The HCF of 9973,5205 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 9973/924, 5205/7719?
Answer: GCF of Numerators as per given numbers 9973/924, 5205/7719 is
GCF of Numerators i.e. for 9973,5205 is 1
LCM of denominators i.e. for 924,7719 is 2377452.
Thus, GCF of Fractions is 1/2377452.Finally, GCF of Fractions for 9973/924, 5205/7719 is 1/2377452.