How to Find GCF of 1233/584, 1069/856?

GCF of 1233/584, 1069/856

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 1233/584, 1069/856 i.e 1/62488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1233/584, 1069/856.

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 1233/584,1069/856?

Given fractions are 1233/584,1069/856

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 1233/584,1069/856, numerators are 1233,1069

Denominators are 584,856

The GCF of 1233,1069 is 1 .

LCM of 584,856 is 62488.

The greatest common factor of 1233/584,1069/856 = [GCF of 1233,1069]/[LCM of 584,856]= 1/62488

Therefore, the GCF of 1233/584,1069/856 is 1/62488.

Greatest Common Factor of 1233,1069

To find the highest common factor of 1233,1069, we have to find the factors of both numbers and list the highest common factor.

The factors of 1233 are 1, 3, 9, 137, 411, 1233

The factors of 1069 are 1, 1069

The HCF of 1233,1069 is 1.

Lets's calculate GCF of 1233,1069

Greatest Common Factor (GCF) of 1233,1069 By Common Division

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

Greatest Common Factor of 1233,1069 By Matching Biggest Common Factor Method

Now, list down the factors of 1233

1,3,9,137,411,1233

Now, list down the factors of 1069

1,1069

Greatest Common Factor

We found the factors 1233,1069 . The biggest common factor number is the GCF number.
So the greatest common factor 1233,1069 is 1.

Lets's calculate LCM of 584,856

Lowest Common Multiple of 584,856 using Common Division

2	584, 856
2	292, 428
2	146, 214
	73, 107

∴ So the LCM of the given numbers is 2 x 2 x 2 x 73 x 107 = 62488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62488

Therefore, the GCF of Fractions 1233/584,1069/856 is 1/62488

Least Common Multiple of 584,856 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 584,856 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,856) = 8

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

GCF(584,856) x common factors =8 x 1 = 8

LCM(584,856) = ( 584 × 856 ) / 8

LCM(584,856) = 499904 / 8

LCM(584,856) = 62488

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FAQs on GCF of Fractions of 1233/584, 1069/856

1. What is the HCF of 1233,1069?

The HCF of 1233,1069 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 1233/584, 1069/856?

Answer: GCF of Numerators as per given numbers 1233/584, 1069/856 is

GCF of Numerators i.e. for 1233,1069 is 1

LCM of denominators i.e. for 584,856 is 62488.

Thus, GCF of Fractions is 1/62488.Finally, GCF of Fractions for 1233/584, 1069/856 is 1/62488.