How to Find GCF of 923/458, 3562/6239?

GCF of 923/458, 3562/6239

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 923/458, 3562/6239 i.e 13/2857462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 923/458, 3562/6239.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 923/458,3562/6239?

Given fractions are 923/458,3562/6239

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 923/458,3562/6239, numerators are 923,3562

Denominators are 458,6239

The GCF of 923,3562 is 13 .

LCM of 458,6239 is 2857462.

The greatest common factor of 923/458,3562/6239 = [GCF of 923,3562]/[LCM of 458,6239]= 13/2857462

Therefore, the GCF of 923/458,3562/6239 is 13/2857462.

Greatest Common Factor of 923,3562

To find the highest common factor of 923,3562, we have to find the factors of both numbers and list the highest common factor.

The factors of 923 are 1, 13, 71, 923

The factors of 3562 are 1, 2, 13, 26, 137, 274, 1781, 3562

The HCF of 923,3562 is 13.

Lets's calculate GCF of 923,3562

Greatest Common Factor (GCF) of 923,3562 By Common Division

13	923, 3562
	71, 274

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 923,3562 By Matching Biggest Common Factor Method

Now, list down the factors of 923

1,13,71,923

Now, list down the factors of 3562

1,2,13,26,137,274,1781,3562

Greatest Common Factor

We found the factors 923,3562 . The biggest common factor number is the GCF number.
So the greatest common factor 923,3562 is 13.

Lets's calculate LCM of 458,6239

Lowest Common Multiple of 458,6239 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2857462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2857462

Therefore, the GCF of Fractions 923/458,3562/6239 is 13/2857462

Least Common Multiple of 458,6239 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 458,6239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,6239) = 1

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

GCF(458,6239) x common factors =1 x 1 = 1

LCM(458,6239) = ( 458 × 6239 ) / 1

LCM(458,6239) = 2857462 / 1

LCM(458,6239) = 2857462

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FAQs on GCF of Fractions of 923/458, 3562/6239

1. What is the HCF of 923,3562?

The HCF of 923,3562 is 13

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 923/458, 3562/6239?

Answer: GCF of Numerators as per given numbers 923/458, 3562/6239 is

GCF of Numerators i.e. for 923,3562 is 13

LCM of denominators i.e. for 458,6239 is 2857462.

Thus, GCF of Fractions is 13/2857462.Finally, GCF of Fractions for 923/458, 3562/6239 is 13/2857462.