How to Find GCF of 3736/409, 1800/4925?

GCF of 3736/409, 1800/4925

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 3736/409, 1800/4925 i.e 8/2014325 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3736/409, 1800/4925.

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 3736/409,1800/4925?

Given fractions are 3736/409,1800/4925

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 3736/409,1800/4925, numerators are 3736,1800

Denominators are 409,4925

The GCF of 3736,1800 is 8 .

LCM of 409,4925 is 2014325.

The greatest common factor of 3736/409,1800/4925 = [GCF of 3736,1800]/[LCM of 409,4925]= 8/2014325

Therefore, the GCF of 3736/409,1800/4925 is 8/2014325.

Greatest Common Factor of 3736,1800

To find the highest common factor of 3736,1800, we have to find the factors of both numbers and list the highest common factor.

The factors of 3736 are 1, 2, 4, 8, 467, 934, 1868, 3736

The factors of 1800 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 25, 30, 36, 40, 45, 50, 60, 72, 75, 90, 100, 120, 150, 180, 200, 225, 300, 360, 450, 600, 900, 1800

The HCF of 3736,1800 is 8.

Lets's calculate GCF of 3736,1800

Greatest Common Factor (GCF) of 3736,1800 By Common Division

2	3736, 1800
2	1868, 900
2	934, 450
	467, 225

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3736,1800 By Matching Biggest Common Factor Method

Now, list down the factors of 3736

1,2,4,8,467,934,1868,3736

Now, list down the factors of 1800

1,2,3,4,5,6,8,9,10,12,15,18,20,24,25,30,36,40,45,50,60,72,75,90,100,120,150,180,200,225,300,360,450,600,900,1800

Greatest Common Factor

We found the factors 3736,1800 . The biggest common factor number is the GCF number.
So the greatest common factor 3736,1800 is 8.

Lets's calculate LCM of 409,4925

Lowest Common Multiple of 409,4925 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2014325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2014325

Therefore, the GCF of Fractions 3736/409,1800/4925 is 8/2014325

Least Common Multiple of 409,4925 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 409,4925 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,4925) = 1

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

GCF(409,4925) x common factors =1 x 1 = 1

LCM(409,4925) = ( 409 × 4925 ) / 1

LCM(409,4925) = 2014325 / 1

LCM(409,4925) = 2014325

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3736/409, 1800/4925

1. What is the HCF of 3736,1800?

The HCF of 3736,1800 is 8

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 3736/409, 1800/4925?

Answer: GCF of Numerators as per given numbers 3736/409, 1800/4925 is

GCF of Numerators i.e. for 3736,1800 is 8

LCM of denominators i.e. for 409,4925 is 2014325.

Thus, GCF of Fractions is 8/2014325.Finally, GCF of Fractions for 3736/409, 1800/4925 is 8/2014325.