GCF of 4973/549, 9923/1569
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4973/549, 9923/1569 i.e 1/287127 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4973/549, 9923/1569.
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 4973/549,9923/1569?
Given fractions are 4973/549,9923/1569
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 4973/549,9923/1569, numerators are 4973,9923
Denominators are 549,1569
The GCF of 4973,9923 is 1 .
LCM of 549,1569 is 287127.
The greatest common factor of 4973/549,9923/1569 = [GCF of 4973,9923]/[LCM of 549,1569]= 1/287127
Therefore, the GCF of 4973/549,9923/1569 is 1/287127.
To find the highest common factor of 4973,9923, we have to find the factors of both numbers and list the highest common factor.
The factors of 4973 are 1, 4973
The factors of 9923 are 1, 9923
The HCF of 4973,9923 is 1.
Lets's calculate GCF of 4973,9923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4973,9923 By Matching Biggest Common Factor Method
Now, list down the factors of 4973
:1,4973
Now, list down the factors of 9923
:1,9923
Greatest Common Factor
We found the factors 4973,9923 . The biggest common factor number is the GCF number.
So the greatest common factor 4973,9923 is 1.
Lets's calculate LCM of 549,1569
| 3 | 549, 1569 |
| 183, 523 |
∴ So the LCM of the given numbers is 3 x 183 x 523 = 287127
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287127
Therefore, the GCF of Fractions 4973/549,9923/1569 is 1/287127
Least Common Multiple of 549,1569 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 549,1569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(549,1569) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(549,1569) x common factors =3 x 1 = 3
LCM(549,1569) = ( 549 × 1569 ) / 3
LCM(549,1569) = 861381 / 3
LCM(549,1569) = 287127
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FAQs on GCF of Fractions of 4973/549, 9923/1569
1. What is the HCF of 4973,9923?
The HCF of 4973,9923 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 4973/549, 9923/1569?
Answer: GCF of Numerators as per given numbers 4973/549, 9923/1569 is
GCF of Numerators i.e. for 4973,9923 is 1
LCM of denominators i.e. for 549,1569 is 287127.
Thus, GCF of Fractions is 1/287127.Finally, GCF of Fractions for 4973/549, 9923/1569 is 1/287127.