How to Find GCF of 2769/930, 3322/2268?

GCF of 2769/930, 3322/2268

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 2769/930, 3322/2268 i.e 1/351540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2769/930, 3322/2268.

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 2769/930,3322/2268?

Given fractions are 2769/930,3322/2268

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 2769/930,3322/2268, numerators are 2769,3322

Denominators are 930,2268

The GCF of 2769,3322 is 1 .

LCM of 930,2268 is 351540.

The greatest common factor of 2769/930,3322/2268 = [GCF of 2769,3322]/[LCM of 930,2268]= 1/351540

Therefore, the GCF of 2769/930,3322/2268 is 1/351540.

Greatest Common Factor of 2769,3322

To find the highest common factor of 2769,3322, we have to find the factors of both numbers and list the highest common factor.

The factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769

The factors of 3322 are 1, 2, 11, 22, 151, 302, 1661, 3322

The HCF of 2769,3322 is 1.

Lets's calculate GCF of 2769,3322

Greatest Common Factor (GCF) of 2769,3322 By Common Division

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

Greatest Common Factor of 2769,3322 By Matching Biggest Common Factor Method

Now, list down the factors of 2769

1,3,13,39,71,213,923,2769

Now, list down the factors of 3322

1,2,11,22,151,302,1661,3322

Greatest Common Factor

We found the factors 2769,3322 . The biggest common factor number is the GCF number.
So the greatest common factor 2769,3322 is 1.

Lets's calculate LCM of 930,2268

Lowest Common Multiple of 930,2268 using Common Division

2	930, 2268
3	465, 1134
	155, 378

∴ So the LCM of the given numbers is 2 x 3 x 155 x 378 = 351540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/351540

Therefore, the GCF of Fractions 2769/930,3322/2268 is 1/351540

Least Common Multiple of 930,2268 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 930,2268 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(930,2268) = 6

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

GCF(930,2268) x common factors =6 x 1 = 6

LCM(930,2268) = ( 930 × 2268 ) / 6

LCM(930,2268) = 2109240 / 6

LCM(930,2268) = 351540

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FAQs on GCF of Fractions of 2769/930, 3322/2268

1. What is the HCF of 2769,3322?

The HCF of 2769,3322 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 2769/930, 3322/2268?

Answer: GCF of Numerators as per given numbers 2769/930, 3322/2268 is

GCF of Numerators i.e. for 2769,3322 is 1

LCM of denominators i.e. for 930,2268 is 351540.

Thus, GCF of Fractions is 1/351540.Finally, GCF of Fractions for 2769/930, 3322/2268 is 1/351540.