GCF of 4594/872, 3547/8582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4594/872, 3547/8582 i.e 1/3741752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4594/872, 3547/8582.
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 4594/872,3547/8582?
Given fractions are 4594/872,3547/8582
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 4594/872,3547/8582, numerators are 4594,3547
Denominators are 872,8582
The GCF of 4594,3547 is 1 .
LCM of 872,8582 is 3741752.
The greatest common factor of 4594/872,3547/8582 = [GCF of 4594,3547]/[LCM of 872,8582]= 1/3741752
Therefore, the GCF of 4594/872,3547/8582 is 1/3741752.
To find the highest common factor of 4594,3547, we have to find the factors of both numbers and list the highest common factor.
The factors of 4594 are 1, 2, 2297, 4594
The factors of 3547 are 1, 3547
The HCF of 4594,3547 is 1.
Lets's calculate GCF of 4594,3547
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4594,3547 By Matching Biggest Common Factor Method
Now, list down the factors of 4594
:1,2,2297,4594
Now, list down the factors of 3547
:1,3547
Greatest Common Factor
We found the factors 4594,3547 . The biggest common factor number is the GCF number.
So the greatest common factor 4594,3547 is 1.
Lets's calculate LCM of 872,8582
| 2 | 872, 8582 |
| 436, 4291 |
∴ So the LCM of the given numbers is 2 x 436 x 4291 = 3741752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3741752
Therefore, the GCF of Fractions 4594/872,3547/8582 is 1/3741752
Least Common Multiple of 872,8582 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 872,8582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(872,8582) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(872,8582) x common factors =2 x 1 = 2
LCM(872,8582) = ( 872 × 8582 ) / 2
LCM(872,8582) = 7483504 / 2
LCM(872,8582) = 3741752
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FAQs on GCF of Fractions of 4594/872, 3547/8582
1. What is the HCF of 4594,3547?
The HCF of 4594,3547 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 4594/872, 3547/8582?
Answer: GCF of Numerators as per given numbers 4594/872, 3547/8582 is
GCF of Numerators i.e. for 4594,3547 is 1
LCM of denominators i.e. for 872,8582 is 3741752.
Thus, GCF of Fractions is 1/3741752.Finally, GCF of Fractions for 4594/872, 3547/8582 is 1/3741752.