How to Find GCF of 2826/328, 8923/3592?

GCF of 2826/328, 8923/3592

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 2826/328, 8923/3592 i.e 1/147272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2826/328, 8923/3592.

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 2826/328,8923/3592?

Given fractions are 2826/328,8923/3592

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 2826/328,8923/3592, numerators are 2826,8923

Denominators are 328,3592

The GCF of 2826,8923 is 1 .

LCM of 328,3592 is 147272.

The greatest common factor of 2826/328,8923/3592 = [GCF of 2826,8923]/[LCM of 328,3592]= 1/147272

Therefore, the GCF of 2826/328,8923/3592 is 1/147272.

Greatest Common Factor of 2826,8923

To find the highest common factor of 2826,8923, we have to find the factors of both numbers and list the highest common factor.

The factors of 2826 are 1, 2, 3, 6, 9, 18, 157, 314, 471, 942, 1413, 2826

The factors of 8923 are 1, 8923

The HCF of 2826,8923 is 1.

Lets's calculate GCF of 2826,8923

Greatest Common Factor (GCF) of 2826,8923 By Common Division

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

Greatest Common Factor of 2826,8923 By Matching Biggest Common Factor Method

Now, list down the factors of 2826

1,2,3,6,9,18,157,314,471,942,1413,2826

Now, list down the factors of 8923

1,8923

Greatest Common Factor

We found the factors 2826,8923 . The biggest common factor number is the GCF number.
So the greatest common factor 2826,8923 is 1.

Lets's calculate LCM of 328,3592

Lowest Common Multiple of 328,3592 using Common Division

2	328, 3592
2	164, 1796
2	82, 898
	41, 449

∴ So the LCM of the given numbers is 2 x 2 x 2 x 41 x 449 = 147272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147272

Therefore, the GCF of Fractions 2826/328,8923/3592 is 1/147272

Least Common Multiple of 328,3592 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 328,3592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,3592) = 8

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

GCF(328,3592) x common factors =8 x 1 = 8

LCM(328,3592) = ( 328 × 3592 ) / 8

LCM(328,3592) = 1178176 / 8

LCM(328,3592) = 147272

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FAQs on GCF of Fractions of 2826/328, 8923/3592

1. What is the HCF of 2826,8923?

The HCF of 2826,8923 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 2826/328, 8923/3592?

Answer: GCF of Numerators as per given numbers 2826/328, 8923/3592 is

GCF of Numerators i.e. for 2826,8923 is 1

LCM of denominators i.e. for 328,3592 is 147272.

Thus, GCF of Fractions is 1/147272.Finally, GCF of Fractions for 2826/328, 8923/3592 is 1/147272.