How to Find GCF of 842/730, 585/332, 223/158?

GCF of 842/730, 585/332, 223/158

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 842/730, 585/332, 223/158 i.e 1/9573220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/730, 585/332, 223/158.

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 842/730,585/332,223/158?

Given fractions are 842/730,585/332,223/158

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 842/730,585/332,223/158, numerators are 842,585,223

Denominators are 730,332,158

The GCF of 842,585,223 is 1 .

LCM of 730,332,158 is 9573220.

The greatest common factor of 842/730,585/332,223/158 = [GCF of 842,585,223]/[LCM of 730,332,158]= 1/9573220

Therefore, the GCF of 842/730,585/332,223/158 is 1/9573220.

Greatest Common Factor of 842,585,223

To find the highest common factor of 842,585,223, we have to find the factors of both numbers and list the highest common factor.

The factors of 842 are 1, 2, 421, 842

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

The factors of 223 are 1, 223

The HCF of 842,585,223 is 1.

Lets's calculate GCF of 842,585,223

Greatest Common Factor (GCF) of 842,585,223 By Common Division

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

Greatest Common Factor of 842,585,223 By Matching Biggest Common Factor Method

Now, list down the factors of 842

1,2,421,842

Now, list down the factors of 585

1,3,5,9,13,15,39,45,65,117,195,585

Now, list down the factors of 223

1,223

Greatest Common Factor

We found the factors 842,585,223 . The biggest common factor number is the GCF number.
So the greatest common factor 842,585,223 is 1.

Lets's calculate LCM of 730,332,158

Lowest Common Multiple of 730,332,158 using Common Division

2	730, 332, 158
	365, 166, 79

∴ So the LCM of the given numbers is 2 x 365 x 166 x 79 = 9573220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9573220

Therefore, the GCF of Fractions 842/730,585/332,223/158 is 1/9573220

Least Common Multiple of 730,332,158 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 730,332,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,332,158) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(730,332,158) x common factors =2 x 2 = 4

LCM(730,332,158) = ( 730 × 332 × 158 ) / 4

LCM(730,332,158) = 38292880 / 4

LCM(730,332,158) = 9573220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 842/730, 585/332, 223/158

1. What is the HCF of 842,585,223?

The HCF of 842,585,223 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 842/730, 585/332, 223/158?

Answer: GCF of Numerators as per given numbers 842/730, 585/332, 223/158 is

GCF of Numerators i.e. for 842,585,223 is 1

LCM of denominators i.e. for 730,332,158 is 9573220.

Thus, GCF of Fractions is 1/9573220.Finally, GCF of Fractions for 842/730, 585/332, 223/158 is 1/9573220.