How to Find GCF of 7376/527, 3032/368?

GCF of 7376/527, 3032/368

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 7376/527, 3032/368 i.e 8/193936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7376/527, 3032/368.

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 7376/527,3032/368?

Given fractions are 7376/527,3032/368

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 7376/527,3032/368, numerators are 7376,3032

Denominators are 527,368

The GCF of 7376,3032 is 8 .

LCM of 527,368 is 193936.

The greatest common factor of 7376/527,3032/368 = [GCF of 7376,3032]/[LCM of 527,368]= 8/193936

Therefore, the GCF of 7376/527,3032/368 is 8/193936.

Greatest Common Factor of 7376,3032

To find the highest common factor of 7376,3032, we have to find the factors of both numbers and list the highest common factor.

The factors of 7376 are 1, 2, 4, 8, 16, 461, 922, 1844, 3688, 7376

The factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032

The HCF of 7376,3032 is 8.

Lets's calculate GCF of 7376,3032

Greatest Common Factor (GCF) of 7376,3032 By Common Division

2	7376, 3032
2	3688, 1516
2	1844, 758
	922, 379

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7376,3032 By Matching Biggest Common Factor Method

Now, list down the factors of 7376

1,2,4,8,16,461,922,1844,3688,7376

Now, list down the factors of 3032

1,2,4,8,379,758,1516,3032

Greatest Common Factor

We found the factors 7376,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 7376,3032 is 8.

Lets's calculate LCM of 527,368

Lowest Common Multiple of 527,368 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 193936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/193936

Therefore, the GCF of Fractions 7376/527,3032/368 is 8/193936

Least Common Multiple of 527,368 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 527,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,368) = 1

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

GCF(527,368) x common factors =1 x 1 = 1

LCM(527,368) = ( 527 × 368 ) / 1

LCM(527,368) = 193936 / 1

LCM(527,368) = 193936

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FAQs on GCF of Fractions of 7376/527, 3032/368

1. What is the HCF of 7376,3032?

The HCF of 7376,3032 is 8

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 7376/527, 3032/368?

Answer: GCF of Numerators as per given numbers 7376/527, 3032/368 is

GCF of Numerators i.e. for 7376,3032 is 8

LCM of denominators i.e. for 527,368 is 193936.

Thus, GCF of Fractions is 8/193936.Finally, GCF of Fractions for 7376/527, 3032/368 is 8/193936.