GCF of 5670/161, 3562/2946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5670/161, 3562/2946 i.e 2/474306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5670/161, 3562/2946.
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 5670/161,3562/2946?
Given fractions are 5670/161,3562/2946
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 5670/161,3562/2946, numerators are 5670,3562
Denominators are 161,2946
The GCF of 5670,3562 is 2 .
LCM of 161,2946 is 474306.
The greatest common factor of 5670/161,3562/2946 = [GCF of 5670,3562]/[LCM of 161,2946]= 2/474306
Therefore, the GCF of 5670/161,3562/2946 is 2/474306.
To find the highest common factor of 5670,3562, we have to find the factors of both numbers and list the highest common factor.
The factors of 5670 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 630, 810, 945, 1134, 1890, 2835, 5670
The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562
The HCF of 5670,3562 is 2.
Lets's calculate GCF of 5670,3562
| 2 | 5670, 3562 |
| 2835, 1781 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5670,3562 By Matching Biggest Common Factor Method
Now, list down the factors of 5670
:1,2,3,5,6,7,9,10,14,15,18,21,27,30,35,42,45,54,63,70,81,90,105,126,135,162,189,210,270,315,378,405,567,630,810,945,1134,1890,2835,5670
Now, list down the factors of 3562
:1,2,13,26,137,274,1781,3562
Greatest Common Factor
We found the factors 5670,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 5670,3562 is 2.
Lets's calculate LCM of 161,2946
Given numbers has no common factors except 1. So, there LCM is their product i.e 474306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/474306
Therefore, the GCF of Fractions 5670/161,3562/2946 is 2/474306
Least Common Multiple of 161,2946 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 161,2946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,2946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,2946) x common factors =1 x 1 = 1
LCM(161,2946) = ( 161 × 2946 ) / 1
LCM(161,2946) = 474306 / 1
LCM(161,2946) = 474306
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FAQs on GCF of Fractions of 5670/161, 3562/2946
1. What is the HCF of 5670,3562?
The HCF of 5670,3562 is 2
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 5670/161, 3562/2946?
Answer: GCF of Numerators as per given numbers 5670/161, 3562/2946 is
GCF of Numerators i.e. for 5670,3562 is 2
LCM of denominators i.e. for 161,2946 is 474306.
Thus, GCF of Fractions is 2/474306.Finally, GCF of Fractions for 5670/161, 3562/2946 is 2/474306.