GCF of 773/483, 202/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 773/483, 202/973 i.e 1/67137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 773/483, 202/973.
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 773/483,202/973?
Given fractions are 773/483,202/973
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 773/483,202/973, numerators are 773,202
Denominators are 483,973
The GCF of 773,202 is 1 .
LCM of 483,973 is 67137.
The greatest common factor of 773/483,202/973 = [GCF of 773,202]/[LCM of 483,973]= 1/67137
Therefore, the GCF of 773/483,202/973 is 1/67137.
To find the highest common factor of 773,202, we have to find the factors of both numbers and list the highest common factor.
The factors of 773 are 1, 773
The factors of 202 are 1, 2, 101, 202
The HCF of 773,202 is 1.
Lets's calculate GCF of 773,202
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 773,202 By Matching Biggest Common Factor Method
Now, list down the factors of 773
:1,773
Now, list down the factors of 202
:1,2,101,202
Greatest Common Factor
We found the factors 773,202 . The biggest common factor number is the GCF number.
So the greatest common factor 773,202 is 1.
Lets's calculate LCM of 483,973
| 7 | 483, 973 |
| 69, 139 |
∴ So the LCM of the given numbers is 7 x 69 x 139 = 67137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67137
Therefore, the GCF of Fractions 773/483,202/973 is 1/67137
Least Common Multiple of 483,973 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 483,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,973) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(483,973) x common factors =7 x 1 = 7
LCM(483,973) = ( 483 × 973 ) / 7
LCM(483,973) = 469959 / 7
LCM(483,973) = 67137
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FAQs on GCF of Fractions of 773/483, 202/973
1. What is the HCF of 773,202?
The HCF of 773,202 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 773/483, 202/973?
Answer: GCF of Numerators as per given numbers 773/483, 202/973 is
GCF of Numerators i.e. for 773,202 is 1
LCM of denominators i.e. for 483,973 is 67137.
Thus, GCF of Fractions is 1/67137.Finally, GCF of Fractions for 773/483, 202/973 is 1/67137.