How to Find GCF of 7843/673, 5585/9562?

GCF of 7843/673, 5585/9562

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 7843/673, 5585/9562 i.e 1/6435226 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7843/673, 5585/9562.

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 7843/673,5585/9562?

Given fractions are 7843/673,5585/9562

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 7843/673,5585/9562, numerators are 7843,5585

Denominators are 673,9562

The GCF of 7843,5585 is 1 .

LCM of 673,9562 is 6435226.

The greatest common factor of 7843/673,5585/9562 = [GCF of 7843,5585]/[LCM of 673,9562]= 1/6435226

Therefore, the GCF of 7843/673,5585/9562 is 1/6435226.

Greatest Common Factor of 7843,5585

To find the highest common factor of 7843,5585, we have to find the factors of both numbers and list the highest common factor.

The factors of 7843 are 1, 11, 23, 31, 253, 341, 713, 7843

The factors of 5585 are 1, 5, 1117, 5585

The HCF of 7843,5585 is 1.

Lets's calculate GCF of 7843,5585

Greatest Common Factor (GCF) of 7843,5585 By Common Division

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

Greatest Common Factor of 7843,5585 By Matching Biggest Common Factor Method

Now, list down the factors of 7843

1,11,23,31,253,341,713,7843

Now, list down the factors of 5585

1,5,1117,5585

Greatest Common Factor

We found the factors 7843,5585 . The biggest common factor number is the GCF number.
So the greatest common factor 7843,5585 is 1.

Lets's calculate LCM of 673,9562

Lowest Common Multiple of 673,9562 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6435226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6435226

Therefore, the GCF of Fractions 7843/673,5585/9562 is 1/6435226

Least Common Multiple of 673,9562 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 673,9562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,9562) = 1

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

GCF(673,9562) x common factors =1 x 1 = 1

LCM(673,9562) = ( 673 × 9562 ) / 1

LCM(673,9562) = 6435226 / 1

LCM(673,9562) = 6435226

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FAQs on GCF of Fractions of 7843/673, 5585/9562

1. What is the HCF of 7843,5585?

The HCF of 7843,5585 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 7843/673, 5585/9562?

Answer: GCF of Numerators as per given numbers 7843/673, 5585/9562 is

GCF of Numerators i.e. for 7843,5585 is 1

LCM of denominators i.e. for 673,9562 is 6435226.

Thus, GCF of Fractions is 1/6435226.Finally, GCF of Fractions for 7843/673, 5585/9562 is 1/6435226.