GCF of 1583/749, 8572/489
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1583/749, 8572/489 i.e 1/366261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1583/749, 8572/489.
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 1583/749,8572/489?
Given fractions are 1583/749,8572/489
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 1583/749,8572/489, numerators are 1583,8572
Denominators are 749,489
The GCF of 1583,8572 is 1 .
LCM of 749,489 is 366261.
The greatest common factor of 1583/749,8572/489 = [GCF of 1583,8572]/[LCM of 749,489]= 1/366261
Therefore, the GCF of 1583/749,8572/489 is 1/366261.
To find the highest common factor of 1583,8572, we have to find the factors of both numbers and list the highest common factor.
The factors of 1583 are 1, 1583
The factors of 8572 are 1, 2, 4, 2143, 4286, 8572
The HCF of 1583,8572 is 1.
Lets's calculate GCF of 1583,8572
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1583,8572 By Matching Biggest Common Factor Method
Now, list down the factors of 1583
:1,1583
Now, list down the factors of 8572
:1,2,4,2143,4286,8572
Greatest Common Factor
We found the factors 1583,8572 . The biggest common factor number is the GCF number.
So the greatest common factor 1583,8572 is 1.
Lets's calculate LCM of 749,489
Given numbers has no common factors except 1. So, there LCM is their product i.e 366261
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366261
Therefore, the GCF of Fractions 1583/749,8572/489 is 1/366261
Least Common Multiple of 749,489 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 749,489 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(749,489) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(749,489) x common factors =1 x 1 = 1
LCM(749,489) = ( 749 × 489 ) / 1
LCM(749,489) = 366261 / 1
LCM(749,489) = 366261
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1583/749, 8572/489
1. What is the HCF of 1583,8572?
The HCF of 1583,8572 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 1583/749, 8572/489?
Answer: GCF of Numerators as per given numbers 1583/749, 8572/489 is
GCF of Numerators i.e. for 1583,8572 is 1
LCM of denominators i.e. for 749,489 is 366261.
Thus, GCF of Fractions is 1/366261.Finally, GCF of Fractions for 1583/749, 8572/489 is 1/366261.