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GCF of 223/349, 4429/698

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 223/349, 4429/698 i.e 1/698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/349, 4429/698.

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 223/349,4429/698?

Given fractions are 223/349,4429/698

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 223/349,4429/698, numerators are 223,4429

Denominators are 349,698

The GCF of 223,4429 is 1 .

LCM of 349,698 is 698.

The greatest common factor of 223/349,4429/698 = [GCF of 223,4429]/[LCM of 349,698]= 1/698

Therefore, the GCF of 223/349,4429/698 is 1/698.

Greatest Common Factor of 223,4429

To find the highest common factor of 223,4429, we have to find the factors of both numbers and list the highest common factor.

The factors of 223 are 1, 223

The factors of 4429 are 1, 43, 103, 4429

The HCF of 223,4429 is 1.

Lets's calculate GCF of 223,4429

Greatest Common Factor (GCF) of 223,4429 By Common Division

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

Greatest Common Factor of 223,4429 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,4429 By Matching Biggest Common Factor Method

Now, list down the factors of 223

:

1,223

Now, list down the factors of 4429

:

1,43,103,4429

Greatest Common Factor

We found the factors 223,4429 . The biggest common factor number is the GCF number.
So the greatest common factor 223,4429 is 1.

Lets's calculate LCM of 349,698

Lowest Common Multiple of 349,698 using Common Division

349 349, 698
1, 2

∴ So the LCM of the given numbers is 349 x 1 x 2 = 698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/698

Therefore, the GCF of Fractions 223/349,4429/698 is 1/698

Least Common Multiple of 349,698 with GCF Formula

Least Common Multiple of 349,698 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 349,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(349,698) = 349

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

GCF(349,698) x common factors =349 x 1 = 349

LCM(349,698) = ( 349 × 698 ) / 349

LCM(349,698) = 243602 / 349

LCM(349,698) = 698


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FAQs on GCF of Fractions of 223/349, 4429/698

1. What is the HCF of 223,4429?

The HCF of 223,4429 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 223/349, 4429/698?

Answer: GCF of Numerators as per given numbers 223/349, 4429/698 is

GCF of Numerators i.e. for 223,4429 is 1

LCM of denominators i.e. for 349,698 is 698.

Thus, GCF of Fractions is 1/698.Finally, GCF of Fractions for 223/349, 4429/698 is 1/698.