How to Find GCF of 7338/854, 5202/579?

GCF of 7338/854, 5202/579

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 7338/854, 5202/579 i.e 6/494466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7338/854, 5202/579.

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 7338/854,5202/579?

Given fractions are 7338/854,5202/579

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 7338/854,5202/579, numerators are 7338,5202

Denominators are 854,579

The GCF of 7338,5202 is 6 .

LCM of 854,579 is 494466.

The greatest common factor of 7338/854,5202/579 = [GCF of 7338,5202]/[LCM of 854,579]= 6/494466

Therefore, the GCF of 7338/854,5202/579 is 6/494466.

Greatest Common Factor of 7338,5202

To find the highest common factor of 7338,5202, we have to find the factors of both numbers and list the highest common factor.

The factors of 7338 are 1, 2, 3, 6, 1223, 2446, 3669, 7338

The factors of 5202 are 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 289, 306, 578, 867, 1734, 2601, 5202

The HCF of 7338,5202 is 6.

Lets's calculate GCF of 7338,5202

Greatest Common Factor (GCF) of 7338,5202 By Common Division

2	7338, 5202
3	3669, 2601
	1223, 867

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 7338,5202 By Matching Biggest Common Factor Method

Now, list down the factors of 7338

1,2,3,6,1223,2446,3669,7338

Now, list down the factors of 5202

1,2,3,6,9,17,18,34,51,102,153,289,306,578,867,1734,2601,5202

Greatest Common Factor

We found the factors 7338,5202 . The biggest common factor number is the GCF number.
So the greatest common factor 7338,5202 is 6.

Lets's calculate LCM of 854,579

Lowest Common Multiple of 854,579 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 494466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/494466

Therefore, the GCF of Fractions 7338/854,5202/579 is 6/494466

Least Common Multiple of 854,579 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 854,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,579) = 1

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

GCF(854,579) x common factors =1 x 1 = 1

LCM(854,579) = ( 854 × 579 ) / 1

LCM(854,579) = 494466 / 1

LCM(854,579) = 494466

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7338/854, 5202/579

1. What is the HCF of 7338,5202?

The HCF of 7338,5202 is 6

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 7338/854, 5202/579?

Answer: GCF of Numerators as per given numbers 7338/854, 5202/579 is

GCF of Numerators i.e. for 7338,5202 is 6

LCM of denominators i.e. for 854,579 is 494466.

Thus, GCF of Fractions is 6/494466.Finally, GCF of Fractions for 7338/854, 5202/579 is 6/494466.