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GCF of 263/85, 668/431

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 263/85, 668/431 i.e 1/36635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/85, 668/431.

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 263/85,668/431?

Given fractions are 263/85,668/431

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 263/85,668/431, numerators are 263,668

Denominators are 85,431

The GCF of 263,668 is 1 .

LCM of 85,431 is 36635.

The greatest common factor of 263/85,668/431 = [GCF of 263,668]/[LCM of 85,431]= 1/36635

Therefore, the GCF of 263/85,668/431 is 1/36635.

Greatest Common Factor of 263,668

To find the highest common factor of 263,668, we have to find the factors of both numbers and list the highest common factor.

The factors of 263 are 1, 263

The factors of 668 are 1, 2, 4, 167, 334, 668

The HCF of 263,668 is 1.

Lets's calculate GCF of 263,668

Greatest Common Factor (GCF) of 263,668 By Common Division

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

Greatest Common Factor of 263,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,668 By Matching Biggest Common Factor Method

Now, list down the factors of 263

:

1,263

Now, list down the factors of 668

:

1,2,4,167,334,668

Greatest Common Factor

We found the factors 263,668 . The biggest common factor number is the GCF number.
So the greatest common factor 263,668 is 1.

Lets's calculate LCM of 85,431

Lowest Common Multiple of 85,431 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 36635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36635

Therefore, the GCF of Fractions 263/85,668/431 is 1/36635

Least Common Multiple of 85,431 with GCF Formula

Least Common Multiple of 85,431 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 85,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,431) = 1

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

GCF(85,431) x common factors =1 x 1 = 1

LCM(85,431) = ( 85 × 431 ) / 1

LCM(85,431) = 36635 / 1

LCM(85,431) = 36635


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FAQs on GCF of Fractions of 263/85, 668/431

1. What is the HCF of 263,668?

The HCF of 263,668 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 263/85, 668/431?

Answer: GCF of Numerators as per given numbers 263/85, 668/431 is

GCF of Numerators i.e. for 263,668 is 1

LCM of denominators i.e. for 85,431 is 36635.

Thus, GCF of Fractions is 1/36635.Finally, GCF of Fractions for 263/85, 668/431 is 1/36635.