GCF of 1745/714, 2582/4576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1745/714, 2582/4576 i.e 1/1633632 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1745/714, 2582/4576.
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 1745/714,2582/4576?
Given fractions are 1745/714,2582/4576
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 1745/714,2582/4576, numerators are 1745,2582
Denominators are 714,4576
The GCF of 1745,2582 is 1 .
LCM of 714,4576 is 1633632.
The greatest common factor of 1745/714,2582/4576 = [GCF of 1745,2582]/[LCM of 714,4576]= 1/1633632
Therefore, the GCF of 1745/714,2582/4576 is 1/1633632.
To find the highest common factor of 1745,2582, we have to find the factors of both numbers and list the highest common factor.
The factors of 1745 are 1, 5, 349, 1745
The factors of 2582 are 1, 2, 1291, 2582
The HCF of 1745,2582 is 1.
Lets's calculate GCF of 1745,2582
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1745,2582 By Matching Biggest Common Factor Method
Now, list down the factors of 1745
:1,5,349,1745
Now, list down the factors of 2582
:1,2,1291,2582
Greatest Common Factor
We found the factors 1745,2582 . The biggest common factor number is the GCF number.
So the greatest common factor 1745,2582 is 1.
Lets's calculate LCM of 714,4576
| 2 | 714, 4576 |
| 357, 2288 |
∴ So the LCM of the given numbers is 2 x 357 x 2288 = 1633632
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1633632
Therefore, the GCF of Fractions 1745/714,2582/4576 is 1/1633632
Least Common Multiple of 714,4576 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 714,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,4576) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(714,4576) x common factors =2 x 1 = 2
LCM(714,4576) = ( 714 × 4576 ) / 2
LCM(714,4576) = 3267264 / 2
LCM(714,4576) = 1633632
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FAQs on GCF of Fractions of 1745/714, 2582/4576
1. What is the HCF of 1745,2582?
The HCF of 1745,2582 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 1745/714, 2582/4576?
Answer: GCF of Numerators as per given numbers 1745/714, 2582/4576 is
GCF of Numerators i.e. for 1745,2582 is 1
LCM of denominators i.e. for 714,4576 is 1633632.
Thus, GCF of Fractions is 1/1633632.Finally, GCF of Fractions for 1745/714, 2582/4576 is 1/1633632.