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GCF of 223/67, 643/679

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 223/67, 643/679 i.e 1/45493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/67, 643/679.

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 223/67,643/679?

Given fractions are 223/67,643/679

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 223/67,643/679, numerators are 223,643

Denominators are 67,679

The GCF of 223,643 is 1 .

LCM of 67,679 is 45493.

The greatest common factor of 223/67,643/679 = [GCF of 223,643]/[LCM of 67,679]= 1/45493

Therefore, the GCF of 223/67,643/679 is 1/45493.

Greatest Common Factor of 223,643

To find the highest common factor of 223,643, 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 643 are 1, 643

The HCF of 223,643 is 1.

Lets's calculate GCF of 223,643

Greatest Common Factor (GCF) of 223,643 By Common Division

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

Greatest Common Factor of 223,643 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,643 By Matching Biggest Common Factor Method

Now, list down the factors of 223

:

1,223

Now, list down the factors of 643

:

1,643

Greatest Common Factor

We found the factors 223,643 . The biggest common factor number is the GCF number.
So the greatest common factor 223,643 is 1.

Lets's calculate LCM of 67,679

Lowest Common Multiple of 67,679 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45493

Therefore, the GCF of Fractions 223/67,643/679 is 1/45493

Least Common Multiple of 67,679 with GCF Formula

Least Common Multiple of 67,679 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 67,679 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,679) = 1

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

GCF(67,679) x common factors =1 x 1 = 1

LCM(67,679) = ( 67 × 679 ) / 1

LCM(67,679) = 45493 / 1

LCM(67,679) = 45493


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FAQs on GCF of Fractions of 223/67, 643/679

1. What is the HCF of 223,643?

The HCF of 223,643 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 223/67, 643/679?

Answer: GCF of Numerators as per given numbers 223/67, 643/679 is

GCF of Numerators i.e. for 223,643 is 1

LCM of denominators i.e. for 67,679 is 45493.

Thus, GCF of Fractions is 1/45493.Finally, GCF of Fractions for 223/67, 643/679 is 1/45493.