How to Find GCF of 1769/944, 7569/5355?

GCF of 1769/944, 7569/5355

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 1769/944, 7569/5355 i.e 29/5055120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1769/944, 7569/5355.

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 1769/944,7569/5355?

Given fractions are 1769/944,7569/5355

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 1769/944,7569/5355, numerators are 1769,7569

Denominators are 944,5355

The GCF of 1769,7569 is 29 .

LCM of 944,5355 is 5055120.

The greatest common factor of 1769/944,7569/5355 = [GCF of 1769,7569]/[LCM of 944,5355]= 29/5055120

Therefore, the GCF of 1769/944,7569/5355 is 29/5055120.

Greatest Common Factor of 1769,7569

To find the highest common factor of 1769,7569, we have to find the factors of both numbers and list the highest common factor.

The factors of 1769 are 1, 29, 61, 1769

The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569

The HCF of 1769,7569 is 29.

Lets's calculate GCF of 1769,7569

Greatest Common Factor (GCF) of 1769,7569 By Common Division

29	1769, 7569
	61, 261

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 1769,7569 By Matching Biggest Common Factor Method

Now, list down the factors of 1769

1,29,61,1769

Now, list down the factors of 7569

1,3,9,29,87,261,841,2523,7569

Greatest Common Factor

We found the factors 1769,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 1769,7569 is 29.

Lets's calculate LCM of 944,5355

Lowest Common Multiple of 944,5355 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5055120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/5055120

Therefore, the GCF of Fractions 1769/944,7569/5355 is 29/5055120

Least Common Multiple of 944,5355 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 944,5355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,5355) = 1

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

GCF(944,5355) x common factors =1 x 1 = 1

LCM(944,5355) = ( 944 × 5355 ) / 1

LCM(944,5355) = 5055120 / 1

LCM(944,5355) = 5055120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1769/944, 7569/5355

1. What is the HCF of 1769,7569?

The HCF of 1769,7569 is 29

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 1769/944, 7569/5355?

Answer: GCF of Numerators as per given numbers 1769/944, 7569/5355 is

GCF of Numerators i.e. for 1769,7569 is 29

LCM of denominators i.e. for 944,5355 is 5055120.

Thus, GCF of Fractions is 29/5055120.Finally, GCF of Fractions for 1769/944, 7569/5355 is 29/5055120.