GCF of 4522/999, 3763/8416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4522/999, 3763/8416 i.e 1/8407584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4522/999, 3763/8416.
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 4522/999,3763/8416?
Given fractions are 4522/999,3763/8416
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 4522/999,3763/8416, numerators are 4522,3763
Denominators are 999,8416
The GCF of 4522,3763 is 1 .
LCM of 999,8416 is 8407584.
The greatest common factor of 4522/999,3763/8416 = [GCF of 4522,3763]/[LCM of 999,8416]= 1/8407584
Therefore, the GCF of 4522/999,3763/8416 is 1/8407584.
To find the highest common factor of 4522,3763, we have to find the factors of both numbers and list the highest common factor.
The factors of 4522 are 1, 2, 7, 14, 17, 19, 34, 38, 119, 133, 238, 266, 323, 646, 2261, 4522
The factors of 3763 are 1, 53, 71, 3763
The HCF of 4522,3763 is 1.
Lets's calculate GCF of 4522,3763
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4522,3763 By Matching Biggest Common Factor Method
Now, list down the factors of 4522
:1,2,7,14,17,19,34,38,119,133,238,266,323,646,2261,4522
Now, list down the factors of 3763
:1,53,71,3763
Greatest Common Factor
We found the factors 4522,3763 . The biggest common factor number is the GCF number.
So the greatest common factor 4522,3763 is 1.
Lets's calculate LCM of 999,8416
Given numbers has no common factors except 1. So, there LCM is their product i.e 8407584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8407584
Therefore, the GCF of Fractions 4522/999,3763/8416 is 1/8407584
Least Common Multiple of 999,8416 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 999,8416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(999,8416) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(999,8416) x common factors =1 x 1 = 1
LCM(999,8416) = ( 999 × 8416 ) / 1
LCM(999,8416) = 8407584 / 1
LCM(999,8416) = 8407584
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FAQs on GCF of Fractions of 4522/999, 3763/8416
1. What is the HCF of 4522,3763?
The HCF of 4522,3763 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 4522/999, 3763/8416?
Answer: GCF of Numerators as per given numbers 4522/999, 3763/8416 is
GCF of Numerators i.e. for 4522,3763 is 1
LCM of denominators i.e. for 999,8416 is 8407584.
Thus, GCF of Fractions is 1/8407584.Finally, GCF of Fractions for 4522/999, 3763/8416 is 1/8407584.