How to Find GCF of 823/69, 562/92, 298/96?

GCF of 823/69, 562/92, 298/96

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 823/69, 562/92, 298/96 i.e 1/2208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 823/69, 562/92, 298/96.

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 823/69,562/92,298/96?

Given fractions are 823/69,562/92,298/96

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 823/69,562/92,298/96, numerators are 823,562,298

Denominators are 69,92,96

The GCF of 823,562,298 is 1 .

LCM of 69,92,96 is 2208.

The greatest common factor of 823/69,562/92,298/96 = [GCF of 823,562,298]/[LCM of 69,92,96]= 1/2208

Therefore, the GCF of 823/69,562/92,298/96 is 1/2208.

Greatest Common Factor of 823,562,298

To find the highest common factor of 823,562,298, we have to find the factors of both numbers and list the highest common factor.

The factors of 823 are 1, 823

The factors of 562 are 1, 2, 281, 562

The factors of 298 are 1, 2, 149, 298

The HCF of 823,562,298 is 1.

Lets's calculate GCF of 823,562,298

Greatest Common Factor (GCF) of 823,562,298 By Common Division

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

Greatest Common Factor of 823,562,298 By Matching Biggest Common Factor Method

Now, list down the factors of 823

1,823

Now, list down the factors of 562

1,2,281,562

Now, list down the factors of 298

1,2,149,298

Greatest Common Factor

We found the factors 823,562,298 . The biggest common factor number is the GCF number.
So the greatest common factor 823,562,298 is 1.

Lets's calculate LCM of 69,92,96

Lowest Common Multiple of 69,92,96 using Common Division

2	69, 92, 96
2	69, 46, 48
3	69, 23, 24
23	23, 23, 8
	1, 1, 8

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 1 x 1 x 8 = 2208

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2208

Therefore, the GCF of Fractions 823/69,562/92,298/96 is 1/2208

Least Common Multiple of 69,92,96 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 69,92,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,92,96) = 1

common factors(in case of two or more numbers have common factors) = 276

GCF(69,92,96) x common factors =1 x 276 = 276

LCM(69,92,96) = ( 69 × 92 × 96 ) / 276

LCM(69,92,96) = 609408 / 276

LCM(69,92,96) = 2208

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 823/69, 562/92, 298/96

1. What is the HCF of 823,562,298?

The HCF of 823,562,298 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 823/69, 562/92, 298/96?

Answer: GCF of Numerators as per given numbers 823/69, 562/92, 298/96 is

GCF of Numerators i.e. for 823,562,298 is 1

LCM of denominators i.e. for 69,92,96 is 2208.

Thus, GCF of Fractions is 1/2208.Finally, GCF of Fractions for 823/69, 562/92, 298/96 is 1/2208.