GCF of 1462/617, 4733/9442
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1462/617, 4733/9442 i.e 1/5825714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1462/617, 4733/9442.
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 1462/617,4733/9442?
Given fractions are 1462/617,4733/9442
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 1462/617,4733/9442, numerators are 1462,4733
Denominators are 617,9442
The GCF of 1462,4733 is 1 .
LCM of 617,9442 is 5825714.
The greatest common factor of 1462/617,4733/9442 = [GCF of 1462,4733]/[LCM of 617,9442]= 1/5825714
Therefore, the GCF of 1462/617,4733/9442 is 1/5825714.
To find the highest common factor of 1462,4733, we have to find the factors of both numbers and list the highest common factor.
The factors of 1462 are 1, 2, 17, 34, 43, 86, 731, 1462
The factors of 4733 are 1, 4733
The HCF of 1462,4733 is 1.
Lets's calculate GCF of 1462,4733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1462,4733 By Matching Biggest Common Factor Method
Now, list down the factors of 1462
:1,2,17,34,43,86,731,1462
Now, list down the factors of 4733
:1,4733
Greatest Common Factor
We found the factors 1462,4733 . The biggest common factor number is the GCF number.
So the greatest common factor 1462,4733 is 1.
Lets's calculate LCM of 617,9442
Given numbers has no common factors except 1. So, there LCM is their product i.e 5825714
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5825714
Therefore, the GCF of Fractions 1462/617,4733/9442 is 1/5825714
Least Common Multiple of 617,9442 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 617,9442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(617,9442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(617,9442) x common factors =1 x 1 = 1
LCM(617,9442) = ( 617 × 9442 ) / 1
LCM(617,9442) = 5825714 / 1
LCM(617,9442) = 5825714
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FAQs on GCF of Fractions of 1462/617, 4733/9442
1. What is the HCF of 1462,4733?
The HCF of 1462,4733 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 1462/617, 4733/9442?
Answer: GCF of Numerators as per given numbers 1462/617, 4733/9442 is
GCF of Numerators i.e. for 1462,4733 is 1
LCM of denominators i.e. for 617,9442 is 5825714.
Thus, GCF of Fractions is 1/5825714.Finally, GCF of Fractions for 1462/617, 4733/9442 is 1/5825714.