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GCF of 5639/808, 4121/8449

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 5639/808, 4121/8449 i.e 1/6826792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5639/808, 4121/8449.

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 5639/808,4121/8449?

Given fractions are 5639/808,4121/8449

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 5639/808,4121/8449, numerators are 5639,4121

Denominators are 808,8449

The GCF of 5639,4121 is 1 .

LCM of 808,8449 is 6826792.

The greatest common factor of 5639/808,4121/8449 = [GCF of 5639,4121]/[LCM of 808,8449]= 1/6826792

Therefore, the GCF of 5639/808,4121/8449 is 1/6826792.

Greatest Common Factor of 5639,4121

To find the highest common factor of 5639,4121, we have to find the factors of both numbers and list the highest common factor.

The factors of 5639 are 1, 5639

The factors of 4121 are 1, 13, 317, 4121

The HCF of 5639,4121 is 1.

Lets's calculate GCF of 5639,4121

Greatest Common Factor (GCF) of 5639,4121 By Common Division

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

Greatest Common Factor of 5639,4121 By Matching Biggest Common Factor Method

Greatest Common Factor of 5639,4121 By Matching Biggest Common Factor Method

Now, list down the factors of 5639

:

1,5639

Now, list down the factors of 4121

:

1,13,317,4121

Greatest Common Factor

We found the factors 5639,4121 . The biggest common factor number is the GCF number.
So the greatest common factor 5639,4121 is 1.

Lets's calculate LCM of 808,8449

Lowest Common Multiple of 808,8449 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6826792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6826792

Therefore, the GCF of Fractions 5639/808,4121/8449 is 1/6826792

Least Common Multiple of 808,8449 with GCF Formula

Least Common Multiple of 808,8449 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 808,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,8449) = 1

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

GCF(808,8449) x common factors =1 x 1 = 1

LCM(808,8449) = ( 808 × 8449 ) / 1

LCM(808,8449) = 6826792 / 1

LCM(808,8449) = 6826792


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FAQs on GCF of Fractions of 5639/808, 4121/8449

1. What is the HCF of 5639,4121?

The HCF of 5639,4121 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 5639/808, 4121/8449?

Answer: GCF of Numerators as per given numbers 5639/808, 4121/8449 is

GCF of Numerators i.e. for 5639,4121 is 1

LCM of denominators i.e. for 808,8449 is 6826792.

Thus, GCF of Fractions is 1/6826792.Finally, GCF of Fractions for 5639/808, 4121/8449 is 1/6826792.