How to Find GCF of 7043/498, 1626/2335?

GCF of 7043/498, 1626/2335

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 7043/498, 1626/2335 i.e 1/1162830 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7043/498, 1626/2335.

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 7043/498,1626/2335?

Given fractions are 7043/498,1626/2335

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 7043/498,1626/2335, numerators are 7043,1626

Denominators are 498,2335

The GCF of 7043,1626 is 1 .

LCM of 498,2335 is 1162830.

The greatest common factor of 7043/498,1626/2335 = [GCF of 7043,1626]/[LCM of 498,2335]= 1/1162830

Therefore, the GCF of 7043/498,1626/2335 is 1/1162830.

Greatest Common Factor of 7043,1626

To find the highest common factor of 7043,1626, we have to find the factors of both numbers and list the highest common factor.

The factors of 7043 are 1, 7043

The factors of 1626 are 1, 2, 3, 6, 271, 542, 813, 1626

The HCF of 7043,1626 is 1.

Lets's calculate GCF of 7043,1626

Greatest Common Factor (GCF) of 7043,1626 By Common Division

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

Greatest Common Factor of 7043,1626 By Matching Biggest Common Factor Method

Now, list down the factors of 7043

1,7043

Now, list down the factors of 1626

1,2,3,6,271,542,813,1626

Greatest Common Factor

We found the factors 7043,1626 . The biggest common factor number is the GCF number.
So the greatest common factor 7043,1626 is 1.

Lets's calculate LCM of 498,2335

Lowest Common Multiple of 498,2335 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1162830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1162830

Therefore, the GCF of Fractions 7043/498,1626/2335 is 1/1162830

Least Common Multiple of 498,2335 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 498,2335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(498,2335) = 1

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

GCF(498,2335) x common factors =1 x 1 = 1

LCM(498,2335) = ( 498 × 2335 ) / 1

LCM(498,2335) = 1162830 / 1

LCM(498,2335) = 1162830

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FAQs on GCF of Fractions of 7043/498, 1626/2335

1. What is the HCF of 7043,1626?

The HCF of 7043,1626 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 7043/498, 1626/2335?

Answer: GCF of Numerators as per given numbers 7043/498, 1626/2335 is

GCF of Numerators i.e. for 7043,1626 is 1

LCM of denominators i.e. for 498,2335 is 1162830.

Thus, GCF of Fractions is 1/1162830.Finally, GCF of Fractions for 7043/498, 1626/2335 is 1/1162830.