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GCF of 8409/730, 6274/432

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 8409/730, 6274/432 i.e 1/157680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8409/730, 6274/432.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8409/730,6274/432?

Given fractions are 8409/730,6274/432

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 8409/730,6274/432, numerators are 8409,6274

Denominators are 730,432

The GCF of 8409,6274 is 1 .

LCM of 730,432 is 157680.

The greatest common factor of 8409/730,6274/432 = [GCF of 8409,6274]/[LCM of 730,432]= 1/157680

Therefore, the GCF of 8409/730,6274/432 is 1/157680.

Greatest Common Factor of 8409,6274

To find the highest common factor of 8409,6274, we have to find the factors of both numbers and list the highest common factor.

The factors of 8409 are 1, 3, 2803, 8409

The factors of 6274 are 1, 2, 3137, 6274

The HCF of 8409,6274 is 1.

Lets's calculate GCF of 8409,6274

Greatest Common Factor (GCF) of 8409,6274 By Common Division

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

Greatest Common Factor of 8409,6274 By Matching Biggest Common Factor Method

Greatest Common Factor of 8409,6274 By Matching Biggest Common Factor Method

Now, list down the factors of 8409

:

1,3,2803,8409

Now, list down the factors of 6274

:

1,2,3137,6274

Greatest Common Factor

We found the factors 8409,6274 . The biggest common factor number is the GCF number.
So the greatest common factor 8409,6274 is 1.

Lets's calculate LCM of 730,432

Lowest Common Multiple of 730,432 using Common Division

2 730, 432
365, 216

∴ So the LCM of the given numbers is 2 x 365 x 216 = 157680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157680

Therefore, the GCF of Fractions 8409/730,6274/432 is 1/157680

Least Common Multiple of 730,432 with GCF Formula

Least Common Multiple of 730,432 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 730,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,432) = 2

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

GCF(730,432) x common factors =2 x 1 = 2

LCM(730,432) = ( 730 × 432 ) / 2

LCM(730,432) = 315360 / 2

LCM(730,432) = 157680


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FAQs on GCF of Fractions of 8409/730, 6274/432

1. What is the HCF of 8409,6274?

The HCF of 8409,6274 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 8409/730, 6274/432?

Answer: GCF of Numerators as per given numbers 8409/730, 6274/432 is

GCF of Numerators i.e. for 8409,6274 is 1

LCM of denominators i.e. for 730,432 is 157680.

Thus, GCF of Fractions is 1/157680.Finally, GCF of Fractions for 8409/730, 6274/432 is 1/157680.