How to Find GCF of 9048/604, 2938/764?

GCF of 9048/604, 2938/764

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 9048/604, 2938/764 i.e 26/115364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9048/604, 2938/764.

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 9048/604,2938/764?

Given fractions are 9048/604,2938/764

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 9048/604,2938/764, numerators are 9048,2938

Denominators are 604,764

The GCF of 9048,2938 is 26 .

LCM of 604,764 is 115364.

The greatest common factor of 9048/604,2938/764 = [GCF of 9048,2938]/[LCM of 604,764]= 26/115364

Therefore, the GCF of 9048/604,2938/764 is 26/115364.

Greatest Common Factor of 9048,2938

To find the highest common factor of 9048,2938, we have to find the factors of both numbers and list the highest common factor.

The factors of 9048 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 29, 39, 52, 58, 78, 87, 104, 116, 156, 174, 232, 312, 348, 377, 696, 754, 1131, 1508, 2262, 3016, 4524, 9048

The factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938

The HCF of 9048,2938 is 26.

Lets's calculate GCF of 9048,2938

Greatest Common Factor (GCF) of 9048,2938 By Common Division

2	9048, 2938
13	4524, 1469
	348, 113

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 9048,2938 By Matching Biggest Common Factor Method

Now, list down the factors of 9048

1,2,3,4,6,8,12,13,24,26,29,39,52,58,78,87,104,116,156,174,232,312,348,377,696,754,1131,1508,2262,3016,4524,9048

Now, list down the factors of 2938

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors 9048,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 9048,2938 is 26.

Lets's calculate LCM of 604,764

Lowest Common Multiple of 604,764 using Common Division

2	604, 764
2	302, 382
	151, 191

∴ So the LCM of the given numbers is 2 x 2 x 151 x 191 = 115364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/115364

Therefore, the GCF of Fractions 9048/604,2938/764 is 26/115364

Least Common Multiple of 604,764 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 604,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(604,764) = 4

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

GCF(604,764) x common factors =4 x 1 = 4

LCM(604,764) = ( 604 × 764 ) / 4

LCM(604,764) = 461456 / 4

LCM(604,764) = 115364

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FAQs on GCF of Fractions of 9048/604, 2938/764

1. What is the HCF of 9048,2938?

The HCF of 9048,2938 is 26

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 9048/604, 2938/764?

Answer: GCF of Numerators as per given numbers 9048/604, 2938/764 is

GCF of Numerators i.e. for 9048,2938 is 26

LCM of denominators i.e. for 604,764 is 115364.

Thus, GCF of Fractions is 26/115364.Finally, GCF of Fractions for 9048/604, 2938/764 is 26/115364.