GCF of 922/143, 3644/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/143, 3644/517 i.e 2/6721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/143, 3644/517.
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 922/143,3644/517?
Given fractions are 922/143,3644/517
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 922/143,3644/517, numerators are 922,3644
Denominators are 143,517
The GCF of 922,3644 is 2 .
LCM of 143,517 is 6721.
The greatest common factor of 922/143,3644/517 = [GCF of 922,3644]/[LCM of 143,517]= 2/6721
Therefore, the GCF of 922/143,3644/517 is 2/6721.
To find the highest common factor of 922,3644, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 3644 are 1, 2, 4, 911, 1822, 3644
The HCF of 922,3644 is 2.
Lets's calculate GCF of 922,3644
| 2 | 922, 3644 |
| 461, 1822 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 922,3644 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 3644
:1,2,4,911,1822,3644
Greatest Common Factor
We found the factors 922,3644 . The biggest common factor number is the GCF number.
So the greatest common factor 922,3644 is 2.
Lets's calculate LCM of 143,517
| 11 | 143, 517 |
| 13, 47 |
∴ So the LCM of the given numbers is 11 x 13 x 47 = 6721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6721
Therefore, the GCF of Fractions 922/143,3644/517 is 2/6721
Least Common Multiple of 143,517 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 143,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,517) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(143,517) x common factors =11 x 1 = 11
LCM(143,517) = ( 143 × 517 ) / 11
LCM(143,517) = 73931 / 11
LCM(143,517) = 6721
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FAQs on GCF of Fractions of 922/143, 3644/517
1. What is the HCF of 922,3644?
The HCF of 922,3644 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 922/143, 3644/517?
Answer: GCF of Numerators as per given numbers 922/143, 3644/517 is
GCF of Numerators i.e. for 922,3644 is 2
LCM of denominators i.e. for 143,517 is 6721.
Thus, GCF of Fractions is 2/6721.Finally, GCF of Fractions for 922/143, 3644/517 is 2/6721.