GCF of 4489/473, 7706/8462
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4489/473, 7706/8462 i.e 1/4002526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4489/473, 7706/8462.
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 4489/473,7706/8462?
Given fractions are 4489/473,7706/8462
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 4489/473,7706/8462, numerators are 4489,7706
Denominators are 473,8462
The GCF of 4489,7706 is 1 .
LCM of 473,8462 is 4002526.
The greatest common factor of 4489/473,7706/8462 = [GCF of 4489,7706]/[LCM of 473,8462]= 1/4002526
Therefore, the GCF of 4489/473,7706/8462 is 1/4002526.
To find the highest common factor of 4489,7706, we have to find the factors of both numbers and list the highest common factor.
The factors of 4489 are 1, 67, 4489
The factors of 7706 are 1, 2, 3853, 7706
The HCF of 4489,7706 is 1.
Lets's calculate GCF of 4489,7706
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4489,7706 By Matching Biggest Common Factor Method
Now, list down the factors of 4489
:1,67,4489
Now, list down the factors of 7706
:1,2,3853,7706
Greatest Common Factor
We found the factors 4489,7706 . The biggest common factor number is the GCF number.
So the greatest common factor 4489,7706 is 1.
Lets's calculate LCM of 473,8462
Given numbers has no common factors except 1. So, there LCM is their product i.e 4002526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4002526
Therefore, the GCF of Fractions 4489/473,7706/8462 is 1/4002526
Least Common Multiple of 473,8462 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 473,8462 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(473,8462) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(473,8462) x common factors =1 x 1 = 1
LCM(473,8462) = ( 473 × 8462 ) / 1
LCM(473,8462) = 4002526 / 1
LCM(473,8462) = 4002526
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FAQs on GCF of Fractions of 4489/473, 7706/8462
1. What is the HCF of 4489,7706?
The HCF of 4489,7706 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 4489/473, 7706/8462?
Answer: GCF of Numerators as per given numbers 4489/473, 7706/8462 is
GCF of Numerators i.e. for 4489,7706 is 1
LCM of denominators i.e. for 473,8462 is 4002526.
Thus, GCF of Fractions is 1/4002526.Finally, GCF of Fractions for 4489/473, 7706/8462 is 1/4002526.