How to Find GCF of 3733/502, 8330/8629?

GCF of 3733/502, 8330/8629

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 3733/502, 8330/8629 i.e 1/4331758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3733/502, 8330/8629.

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 3733/502,8330/8629?

Given fractions are 3733/502,8330/8629

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 3733/502,8330/8629, numerators are 3733,8330

Denominators are 502,8629

The GCF of 3733,8330 is 1 .

LCM of 502,8629 is 4331758.

The greatest common factor of 3733/502,8330/8629 = [GCF of 3733,8330]/[LCM of 502,8629]= 1/4331758

Therefore, the GCF of 3733/502,8330/8629 is 1/4331758.

Greatest Common Factor of 3733,8330

To find the highest common factor of 3733,8330, we have to find the factors of both numbers and list the highest common factor.

The factors of 3733 are 1, 3733

The factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330

The HCF of 3733,8330 is 1.

Lets's calculate GCF of 3733,8330

Greatest Common Factor (GCF) of 3733,8330 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3733,8330 By Matching Biggest Common Factor Method

Now, list down the factors of 3733

1,3733

Now, list down the factors of 8330

1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330

Greatest Common Factor

We found the factors 3733,8330 . The biggest common factor number is the GCF number.
So the greatest common factor 3733,8330 is 1.

Lets's calculate LCM of 502,8629

Lowest Common Multiple of 502,8629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4331758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4331758

Therefore, the GCF of Fractions 3733/502,8330/8629 is 1/4331758

Least Common Multiple of 502,8629 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 502,8629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8629) = 1

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

GCF(502,8629) x common factors =1 x 1 = 1

LCM(502,8629) = ( 502 × 8629 ) / 1

LCM(502,8629) = 4331758 / 1

LCM(502,8629) = 4331758

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FAQs on GCF of Fractions of 3733/502, 8330/8629

1. What is the HCF of 3733,8330?

The HCF of 3733,8330 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 3733/502, 8330/8629?

Answer: GCF of Numerators as per given numbers 3733/502, 8330/8629 is

GCF of Numerators i.e. for 3733,8330 is 1

LCM of denominators i.e. for 502,8629 is 4331758.

Thus, GCF of Fractions is 1/4331758.Finally, GCF of Fractions for 3733/502, 8330/8629 is 1/4331758.