How to Find GCF of 9043/687, 7658/3246?

GCF of 9043/687, 7658/3246

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 9043/687, 7658/3246 i.e 1/743334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9043/687, 7658/3246.

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 9043/687,7658/3246?

Given fractions are 9043/687,7658/3246

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 9043/687,7658/3246, numerators are 9043,7658

Denominators are 687,3246

The GCF of 9043,7658 is 1 .

LCM of 687,3246 is 743334.

The greatest common factor of 9043/687,7658/3246 = [GCF of 9043,7658]/[LCM of 687,3246]= 1/743334

Therefore, the GCF of 9043/687,7658/3246 is 1/743334.

Greatest Common Factor of 9043,7658

To find the highest common factor of 9043,7658, we have to find the factors of both numbers and list the highest common factor.

The factors of 9043 are 1, 9043

The factors of 7658 are 1, 2, 7, 14, 547, 1094, 3829, 7658

The HCF of 9043,7658 is 1.

Lets's calculate GCF of 9043,7658

Greatest Common Factor (GCF) of 9043,7658 By Common Division

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

Greatest Common Factor of 9043,7658 By Matching Biggest Common Factor Method

Now, list down the factors of 9043

1,9043

Now, list down the factors of 7658

1,2,7,14,547,1094,3829,7658

Greatest Common Factor

We found the factors 9043,7658 . The biggest common factor number is the GCF number.
So the greatest common factor 9043,7658 is 1.

Lets's calculate LCM of 687,3246

Lowest Common Multiple of 687,3246 using Common Division

3	687, 3246
	229, 1082

∴ So the LCM of the given numbers is 3 x 229 x 1082 = 743334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743334

Therefore, the GCF of Fractions 9043/687,7658/3246 is 1/743334

Least Common Multiple of 687,3246 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 687,3246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,3246) = 3

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

GCF(687,3246) x common factors =3 x 1 = 3

LCM(687,3246) = ( 687 × 3246 ) / 3

LCM(687,3246) = 2230002 / 3

LCM(687,3246) = 743334

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FAQs on GCF of Fractions of 9043/687, 7658/3246

1. What is the HCF of 9043,7658?

The HCF of 9043,7658 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 9043/687, 7658/3246?

Answer: GCF of Numerators as per given numbers 9043/687, 7658/3246 is

GCF of Numerators i.e. for 9043,7658 is 1

LCM of denominators i.e. for 687,3246 is 743334.

Thus, GCF of Fractions is 1/743334.Finally, GCF of Fractions for 9043/687, 7658/3246 is 1/743334.