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GCF of 133/683, 5749/406

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 133/683, 5749/406 i.e 1/277298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 133/683, 5749/406.

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 133/683,5749/406?

Given fractions are 133/683,5749/406

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 133/683,5749/406, numerators are 133,5749

Denominators are 683,406

The GCF of 133,5749 is 1 .

LCM of 683,406 is 277298.

The greatest common factor of 133/683,5749/406 = [GCF of 133,5749]/[LCM of 683,406]= 1/277298

Therefore, the GCF of 133/683,5749/406 is 1/277298.

Greatest Common Factor of 133,5749

To find the highest common factor of 133,5749, we have to find the factors of both numbers and list the highest common factor.

The factors of 133 are 1, 7, 19, 133

The factors of 5749 are 1, 5749

The HCF of 133,5749 is 1.

Lets's calculate GCF of 133,5749

Greatest Common Factor (GCF) of 133,5749 By Common Division

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

Greatest Common Factor of 133,5749 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,5749 By Matching Biggest Common Factor Method

Now, list down the factors of 133

:

1,7,19,133

Now, list down the factors of 5749

:

1,5749

Greatest Common Factor

We found the factors 133,5749 . The biggest common factor number is the GCF number.
So the greatest common factor 133,5749 is 1.

Lets's calculate LCM of 683,406

Lowest Common Multiple of 683,406 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 277298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/277298

Therefore, the GCF of Fractions 133/683,5749/406 is 1/277298

Least Common Multiple of 683,406 with GCF Formula

Least Common Multiple of 683,406 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 683,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(683,406) = 1

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

GCF(683,406) x common factors =1 x 1 = 1

LCM(683,406) = ( 683 × 406 ) / 1

LCM(683,406) = 277298 / 1

LCM(683,406) = 277298


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FAQs on GCF of Fractions of 133/683, 5749/406

1. What is the HCF of 133,5749?

The HCF of 133,5749 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 133/683, 5749/406?

Answer: GCF of Numerators as per given numbers 133/683, 5749/406 is

GCF of Numerators i.e. for 133,5749 is 1

LCM of denominators i.e. for 683,406 is 277298.

Thus, GCF of Fractions is 1/277298.Finally, GCF of Fractions for 133/683, 5749/406 is 1/277298.