How to Find GCF of 4352/745, 2764/323?

GCF of 4352/745, 2764/323

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 4352/745, 2764/323 i.e 4/240635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4352/745, 2764/323.

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 4352/745,2764/323?

Given fractions are 4352/745,2764/323

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 4352/745,2764/323, numerators are 4352,2764

Denominators are 745,323

The GCF of 4352,2764 is 4 .

LCM of 745,323 is 240635.

The greatest common factor of 4352/745,2764/323 = [GCF of 4352,2764]/[LCM of 745,323]= 4/240635

Therefore, the GCF of 4352/745,2764/323 is 4/240635.

Greatest Common Factor of 4352,2764

To find the highest common factor of 4352,2764, we have to find the factors of both numbers and list the highest common factor.

The factors of 4352 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352

The factors of 2764 are 1, 2, 4, 691, 1382, 2764

The HCF of 4352,2764 is 4.

Lets's calculate GCF of 4352,2764

Greatest Common Factor (GCF) of 4352,2764 By Common Division

2	4352, 2764
2	2176, 1382
	1088, 691

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4352,2764 By Matching Biggest Common Factor Method

Now, list down the factors of 4352

1,2,4,8,16,17,32,34,64,68,128,136,256,272,544,1088,2176,4352

Now, list down the factors of 2764

1,2,4,691,1382,2764

Greatest Common Factor

We found the factors 4352,2764 . The biggest common factor number is the GCF number.
So the greatest common factor 4352,2764 is 4.

Lets's calculate LCM of 745,323

Lowest Common Multiple of 745,323 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 240635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/240635

Therefore, the GCF of Fractions 4352/745,2764/323 is 4/240635

Least Common Multiple of 745,323 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 745,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,323) = 1

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

GCF(745,323) x common factors =1 x 1 = 1

LCM(745,323) = ( 745 × 323 ) / 1

LCM(745,323) = 240635 / 1

LCM(745,323) = 240635

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FAQs on GCF of Fractions of 4352/745, 2764/323

1. What is the HCF of 4352,2764?

The HCF of 4352,2764 is 4

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 4352/745, 2764/323?

Answer: GCF of Numerators as per given numbers 4352/745, 2764/323 is

GCF of Numerators i.e. for 4352,2764 is 4

LCM of denominators i.e. for 745,323 is 240635.

Thus, GCF of Fractions is 4/240635.Finally, GCF of Fractions for 4352/745, 2764/323 is 4/240635.