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GCF of 223/66, 686/9259

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 223/66, 686/9259 i.e 1/611094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/66, 686/9259.

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 223/66,686/9259?

Given fractions are 223/66,686/9259

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 223/66,686/9259, numerators are 223,686

Denominators are 66,9259

The GCF of 223,686 is 1 .

LCM of 66,9259 is 611094.

The greatest common factor of 223/66,686/9259 = [GCF of 223,686]/[LCM of 66,9259]= 1/611094

Therefore, the GCF of 223/66,686/9259 is 1/611094.

Greatest Common Factor of 223,686

To find the highest common factor of 223,686, 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 686 are 1, 2, 7, 14, 49, 98, 343, 686

The HCF of 223,686 is 1.

Lets's calculate GCF of 223,686

Greatest Common Factor (GCF) of 223,686 By Common Division

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

Greatest Common Factor of 223,686 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,686 By Matching Biggest Common Factor Method

Now, list down the factors of 223

:

1,223

Now, list down the factors of 686

:

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 223,686 . The biggest common factor number is the GCF number.
So the greatest common factor 223,686 is 1.

Lets's calculate LCM of 66,9259

Lowest Common Multiple of 66,9259 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 611094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/611094

Therefore, the GCF of Fractions 223/66,686/9259 is 1/611094

Least Common Multiple of 66,9259 with GCF Formula

Least Common Multiple of 66,9259 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 66,9259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,9259) = 1

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

GCF(66,9259) x common factors =1 x 1 = 1

LCM(66,9259) = ( 66 × 9259 ) / 1

LCM(66,9259) = 611094 / 1

LCM(66,9259) = 611094


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FAQs on GCF of Fractions of 223/66, 686/9259

1. What is the HCF of 223,686?

The HCF of 223,686 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 223/66, 686/9259?

Answer: GCF of Numerators as per given numbers 223/66, 686/9259 is

GCF of Numerators i.e. for 223,686 is 1

LCM of denominators i.e. for 66,9259 is 611094.

Thus, GCF of Fractions is 1/611094.Finally, GCF of Fractions for 223/66, 686/9259 is 1/611094.