How to Find GCF of 8560/151, 3825/566?

GCF of 8560/151, 3825/566

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 8560/151, 3825/566 i.e 5/85466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8560/151, 3825/566.

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 8560/151,3825/566?

Given fractions are 8560/151,3825/566

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 8560/151,3825/566, numerators are 8560,3825

Denominators are 151,566

The GCF of 8560,3825 is 5 .

LCM of 151,566 is 85466.

The greatest common factor of 8560/151,3825/566 = [GCF of 8560,3825]/[LCM of 151,566]= 5/85466

Therefore, the GCF of 8560/151,3825/566 is 5/85466.

Greatest Common Factor of 8560,3825

To find the highest common factor of 8560,3825, we have to find the factors of both numbers and list the highest common factor.

The factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560

The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825

The HCF of 8560,3825 is 5.

Lets's calculate GCF of 8560,3825

Greatest Common Factor (GCF) of 8560,3825 By Common Division

5	8560, 3825
	1712, 765

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8560,3825 By Matching Biggest Common Factor Method

Now, list down the factors of 8560

1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560

Now, list down the factors of 3825

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

Greatest Common Factor

We found the factors 8560,3825 . The biggest common factor number is the GCF number.
So the greatest common factor 8560,3825 is 5.

Lets's calculate LCM of 151,566

Lowest Common Multiple of 151,566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 85466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/85466

Therefore, the GCF of Fractions 8560/151,3825/566 is 5/85466

Least Common Multiple of 151,566 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 151,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,566) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(151,566) x common factors =1 x 1 = 1

LCM(151,566) = ( 151 × 566 ) / 1

LCM(151,566) = 85466 / 1

LCM(151,566) = 85466

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FAQs on GCF of Fractions of 8560/151, 3825/566

1. What is the HCF of 8560,3825?

The HCF of 8560,3825 is 5

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 8560/151, 3825/566?

Answer: GCF of Numerators as per given numbers 8560/151, 3825/566 is

GCF of Numerators i.e. for 8560,3825 is 5

LCM of denominators i.e. for 151,566 is 85466.

Thus, GCF of Fractions is 5/85466.Finally, GCF of Fractions for 8560/151, 3825/566 is 5/85466.