GCF of 4459/562, 7670/9632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4459/562, 7670/9632 i.e 13/2706592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4459/562, 7670/9632.
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 4459/562,7670/9632?
Given fractions are 4459/562,7670/9632
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 4459/562,7670/9632, numerators are 4459,7670
Denominators are 562,9632
The GCF of 4459,7670 is 13 .
LCM of 562,9632 is 2706592.
The greatest common factor of 4459/562,7670/9632 = [GCF of 4459,7670]/[LCM of 562,9632]= 13/2706592
Therefore, the GCF of 4459/562,7670/9632 is 13/2706592.
To find the highest common factor of 4459,7670, we have to find the factors of both numbers and list the highest common factor.
The factors of 4459 are 1, 7, 13, 49, 91, 343, 637, 4459
The factors of 7670 are 1, 2, 5, 10, 13, 26, 59, 65, 118, 130, 295, 590, 767, 1534, 3835, 7670
The HCF of 4459,7670 is 13.
Lets's calculate GCF of 4459,7670
| 13 | 4459, 7670 |
| 343, 590 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4459,7670 By Matching Biggest Common Factor Method
Now, list down the factors of 4459
:1,7,13,49,91,343,637,4459
Now, list down the factors of 7670
:1,2,5,10,13,26,59,65,118,130,295,590,767,1534,3835,7670
Greatest Common Factor
We found the factors 4459,7670 . The biggest common factor number is the GCF number.
So the greatest common factor 4459,7670 is 13.
Lets's calculate LCM of 562,9632
| 2 | 562, 9632 |
| 281, 4816 |
∴ So the LCM of the given numbers is 2 x 281 x 4816 = 2706592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2706592
Therefore, the GCF of Fractions 4459/562,7670/9632 is 13/2706592
Least Common Multiple of 562,9632 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 562,9632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,9632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,9632) x common factors =2 x 1 = 2
LCM(562,9632) = ( 562 × 9632 ) / 2
LCM(562,9632) = 5413184 / 2
LCM(562,9632) = 2706592
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FAQs on GCF of Fractions of 4459/562, 7670/9632
1. What is the HCF of 4459,7670?
The HCF of 4459,7670 is 13
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 4459/562, 7670/9632?
Answer: GCF of Numerators as per given numbers 4459/562, 7670/9632 is
GCF of Numerators i.e. for 4459,7670 is 13
LCM of denominators i.e. for 562,9632 is 2706592.
Thus, GCF of Fractions is 13/2706592.Finally, GCF of Fractions for 4459/562, 7670/9632 is 13/2706592.