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GCF of 263/654, 4465/598

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 263/654, 4465/598 i.e 1/195546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 263/654, 4465/598.

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 263/654,4465/598?

Given fractions are 263/654,4465/598

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 263/654,4465/598, numerators are 263,4465

Denominators are 654,598

The GCF of 263,4465 is 1 .

LCM of 654,598 is 195546.

The greatest common factor of 263/654,4465/598 = [GCF of 263,4465]/[LCM of 654,598]= 1/195546

Therefore, the GCF of 263/654,4465/598 is 1/195546.

Greatest Common Factor of 263,4465

To find the highest common factor of 263,4465, 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 4465 are 1, 5, 19, 47, 95, 235, 893, 4465

The HCF of 263,4465 is 1.

Lets's calculate GCF of 263,4465

Greatest Common Factor (GCF) of 263,4465 By Common Division

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

Greatest Common Factor of 263,4465 By Matching Biggest Common Factor Method

Greatest Common Factor of 263,4465 By Matching Biggest Common Factor Method

Now, list down the factors of 263

:

1,263

Now, list down the factors of 4465

:

1,5,19,47,95,235,893,4465

Greatest Common Factor

We found the factors 263,4465 . The biggest common factor number is the GCF number.
So the greatest common factor 263,4465 is 1.

Lets's calculate LCM of 654,598

Lowest Common Multiple of 654,598 using Common Division

2 654, 598
327, 299

∴ So the LCM of the given numbers is 2 x 327 x 299 = 195546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195546

Therefore, the GCF of Fractions 263/654,4465/598 is 1/195546

Least Common Multiple of 654,598 with GCF Formula

Least Common Multiple of 654,598 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 654,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(654,598) = 2

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

GCF(654,598) x common factors =2 x 1 = 2

LCM(654,598) = ( 654 × 598 ) / 2

LCM(654,598) = 391092 / 2

LCM(654,598) = 195546


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FAQs on GCF of Fractions of 263/654, 4465/598

1. What is the HCF of 263,4465?

The HCF of 263,4465 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 263/654, 4465/598?

Answer: GCF of Numerators as per given numbers 263/654, 4465/598 is

GCF of Numerators i.e. for 263,4465 is 1

LCM of denominators i.e. for 654,598 is 195546.

Thus, GCF of Fractions is 1/195546.Finally, GCF of Fractions for 263/654, 4465/598 is 1/195546.