How to Find GCF of 3449/524, 7642/9557?

GCF of 3449/524, 7642/9557

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 3449/524, 7642/9557 i.e 1/5007868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3449/524, 7642/9557.

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 3449/524,7642/9557?

Given fractions are 3449/524,7642/9557

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 3449/524,7642/9557, numerators are 3449,7642

Denominators are 524,9557

The GCF of 3449,7642 is 1 .

LCM of 524,9557 is 5007868.

The greatest common factor of 3449/524,7642/9557 = [GCF of 3449,7642]/[LCM of 524,9557]= 1/5007868

Therefore, the GCF of 3449/524,7642/9557 is 1/5007868.

Greatest Common Factor of 3449,7642

To find the highest common factor of 3449,7642, we have to find the factors of both numbers and list the highest common factor.

The factors of 3449 are 1, 3449

The factors of 7642 are 1, 2, 3821, 7642

The HCF of 3449,7642 is 1.

Lets's calculate GCF of 3449,7642

Greatest Common Factor (GCF) of 3449,7642 By Common Division

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

Greatest Common Factor of 3449,7642 By Matching Biggest Common Factor Method

Now, list down the factors of 3449

1,3449

Now, list down the factors of 7642

1,2,3821,7642

Greatest Common Factor

We found the factors 3449,7642 . The biggest common factor number is the GCF number.
So the greatest common factor 3449,7642 is 1.

Lets's calculate LCM of 524,9557

Lowest Common Multiple of 524,9557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5007868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5007868

Therefore, the GCF of Fractions 3449/524,7642/9557 is 1/5007868

Least Common Multiple of 524,9557 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 524,9557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,9557) = 1

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

GCF(524,9557) x common factors =1 x 1 = 1

LCM(524,9557) = ( 524 × 9557 ) / 1

LCM(524,9557) = 5007868 / 1

LCM(524,9557) = 5007868

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FAQs on GCF of Fractions of 3449/524, 7642/9557

1. What is the HCF of 3449,7642?

The HCF of 3449,7642 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 3449/524, 7642/9557?

Answer: GCF of Numerators as per given numbers 3449/524, 7642/9557 is

GCF of Numerators i.e. for 3449,7642 is 1

LCM of denominators i.e. for 524,9557 is 5007868.

Thus, GCF of Fractions is 1/5007868.Finally, GCF of Fractions for 3449/524, 7642/9557 is 1/5007868.