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GCF of 223/54, 862/9524

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 223/54, 862/9524 i.e 1/257148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 223/54, 862/9524.

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 223/54,862/9524?

Given fractions are 223/54,862/9524

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 223/54,862/9524, numerators are 223,862

Denominators are 54,9524

The GCF of 223,862 is 1 .

LCM of 54,9524 is 257148.

The greatest common factor of 223/54,862/9524 = [GCF of 223,862]/[LCM of 54,9524]= 1/257148

Therefore, the GCF of 223/54,862/9524 is 1/257148.

Greatest Common Factor of 223,862

To find the highest common factor of 223,862, 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 862 are 1, 2, 431, 862

The HCF of 223,862 is 1.

Lets's calculate GCF of 223,862

Greatest Common Factor (GCF) of 223,862 By Common Division

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

Greatest Common Factor of 223,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,862 By Matching Biggest Common Factor Method

Now, list down the factors of 223

:

1,223

Now, list down the factors of 862

:

1,2,431,862

Greatest Common Factor

We found the factors 223,862 . The biggest common factor number is the GCF number.
So the greatest common factor 223,862 is 1.

Lets's calculate LCM of 54,9524

Lowest Common Multiple of 54,9524 using Common Division

2 54, 9524
27, 4762

∴ So the LCM of the given numbers is 2 x 27 x 4762 = 257148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257148

Therefore, the GCF of Fractions 223/54,862/9524 is 1/257148

Least Common Multiple of 54,9524 with GCF Formula

Least Common Multiple of 54,9524 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 54,9524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,9524) = 2

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

GCF(54,9524) x common factors =2 x 1 = 2

LCM(54,9524) = ( 54 × 9524 ) / 2

LCM(54,9524) = 514296 / 2

LCM(54,9524) = 257148


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FAQs on GCF of Fractions of 223/54, 862/9524

1. What is the HCF of 223,862?

The HCF of 223,862 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 223/54, 862/9524?

Answer: GCF of Numerators as per given numbers 223/54, 862/9524 is

GCF of Numerators i.e. for 223,862 is 1

LCM of denominators i.e. for 54,9524 is 257148.

Thus, GCF of Fractions is 1/257148.Finally, GCF of Fractions for 223/54, 862/9524 is 1/257148.