GCF of 303/474, 689/764
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 303/474, 689/764 i.e 1/181068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 303/474, 689/764.
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 303/474,689/764?
Given fractions are 303/474,689/764
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 303/474,689/764, numerators are 303,689
Denominators are 474,764
The GCF of 303,689 is 1 .
LCM of 474,764 is 181068.
The greatest common factor of 303/474,689/764 = [GCF of 303,689]/[LCM of 474,764]= 1/181068
Therefore, the GCF of 303/474,689/764 is 1/181068.
To find the highest common factor of 303,689, we have to find the factors of both numbers and list the highest common factor.
The factors of 303 are 1, 3, 101, 303
The factors of 689 are 1, 13, 53, 689
The HCF of 303,689 is 1.
Lets's calculate GCF of 303,689
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 303,689 By Matching Biggest Common Factor Method
Now, list down the factors of 303
:1,3,101,303
Now, list down the factors of 689
:1,13,53,689
Greatest Common Factor
We found the factors 303,689 . The biggest common factor number is the GCF number.
So the greatest common factor 303,689 is 1.
Lets's calculate LCM of 474,764
| 2 | 474, 764 |
| 237, 382 |
∴ So the LCM of the given numbers is 2 x 237 x 382 = 181068
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/181068
Therefore, the GCF of Fractions 303/474,689/764 is 1/181068
Least Common Multiple of 474,764 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 474,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,764) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,764) x common factors =2 x 1 = 2
LCM(474,764) = ( 474 × 764 ) / 2
LCM(474,764) = 362136 / 2
LCM(474,764) = 181068
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FAQs on GCF of Fractions of 303/474, 689/764
1. What is the HCF of 303,689?
The HCF of 303,689 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 303/474, 689/764?
Answer: GCF of Numerators as per given numbers 303/474, 689/764 is
GCF of Numerators i.e. for 303,689 is 1
LCM of denominators i.e. for 474,764 is 181068.
Thus, GCF of Fractions is 1/181068.Finally, GCF of Fractions for 303/474, 689/764 is 1/181068.