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GCF of 674/204, 223/277

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 674/204, 223/277 i.e 1/56508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 674/204, 223/277.

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 674/204,223/277?

Given fractions are 674/204,223/277

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 674/204,223/277, numerators are 674,223

Denominators are 204,277

The GCF of 674,223 is 1 .

LCM of 204,277 is 56508.

The greatest common factor of 674/204,223/277 = [GCF of 674,223]/[LCM of 204,277]= 1/56508

Therefore, the GCF of 674/204,223/277 is 1/56508.

Greatest Common Factor of 674,223

To find the highest common factor of 674,223, we have to find the factors of both numbers and list the highest common factor.

The factors of 674 are 1, 2, 337, 674

The factors of 223 are 1, 223

The HCF of 674,223 is 1.

Lets's calculate GCF of 674,223

Greatest Common Factor (GCF) of 674,223 By Common Division

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

Greatest Common Factor of 674,223 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,223 By Matching Biggest Common Factor Method

Now, list down the factors of 674

:

1,2,337,674

Now, list down the factors of 223

:

1,223

Greatest Common Factor

We found the factors 674,223 . The biggest common factor number is the GCF number.
So the greatest common factor 674,223 is 1.

Lets's calculate LCM of 204,277

Lowest Common Multiple of 204,277 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56508

Therefore, the GCF of Fractions 674/204,223/277 is 1/56508

Least Common Multiple of 204,277 with GCF Formula

Least Common Multiple of 204,277 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 204,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,277) = 1

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

GCF(204,277) x common factors =1 x 1 = 1

LCM(204,277) = ( 204 × 277 ) / 1

LCM(204,277) = 56508 / 1

LCM(204,277) = 56508


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FAQs on GCF of Fractions of 674/204, 223/277

1. What is the HCF of 674,223?

The HCF of 674,223 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 674/204, 223/277?

Answer: GCF of Numerators as per given numbers 674/204, 223/277 is

GCF of Numerators i.e. for 674,223 is 1

LCM of denominators i.e. for 204,277 is 56508.

Thus, GCF of Fractions is 1/56508.Finally, GCF of Fractions for 674/204, 223/277 is 1/56508.