GCF of 482/723, 734/503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 482/723, 734/503 i.e 2/363669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 482/723, 734/503.
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 482/723,734/503?
Given fractions are 482/723,734/503
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 482/723,734/503, numerators are 482,734
Denominators are 723,503
The GCF of 482,734 is 2 .
LCM of 723,503 is 363669.
The greatest common factor of 482/723,734/503 = [GCF of 482,734]/[LCM of 723,503]= 2/363669
Therefore, the GCF of 482/723,734/503 is 2/363669.
To find the highest common factor of 482,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 482 are 1, 2, 241, 482
The factors of 734 are 1, 2, 367, 734
The HCF of 482,734 is 2.
Lets's calculate GCF of 482,734
| 2 | 482, 734 |
| 241, 367 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 482,734 By Matching Biggest Common Factor Method
Now, list down the factors of 482
:1,2,241,482
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 482,734 . The biggest common factor number is the GCF number.
So the greatest common factor 482,734 is 2.
Lets's calculate LCM of 723,503
Given numbers has no common factors except 1. So, there LCM is their product i.e 363669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/363669
Therefore, the GCF of Fractions 482/723,734/503 is 2/363669
Least Common Multiple of 723,503 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 723,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(723,503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(723,503) x common factors =1 x 1 = 1
LCM(723,503) = ( 723 × 503 ) / 1
LCM(723,503) = 363669 / 1
LCM(723,503) = 363669
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FAQs on GCF of Fractions of 482/723, 734/503
1. What is the HCF of 482,734?
The HCF of 482,734 is 2
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 482/723, 734/503?
Answer: GCF of Numerators as per given numbers 482/723, 734/503 is
GCF of Numerators i.e. for 482,734 is 2
LCM of denominators i.e. for 723,503 is 363669.
Thus, GCF of Fractions is 2/363669.Finally, GCF of Fractions for 482/723, 734/503 is 2/363669.