How to Find GCF of 5953/740, 7275/8349?

GCF of 5953/740, 7275/8349

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 5953/740, 7275/8349 i.e 1/6178260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5953/740, 7275/8349.

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 5953/740,7275/8349?

Given fractions are 5953/740,7275/8349

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 5953/740,7275/8349, numerators are 5953,7275

Denominators are 740,8349

The GCF of 5953,7275 is 1 .

LCM of 740,8349 is 6178260.

The greatest common factor of 5953/740,7275/8349 = [GCF of 5953,7275]/[LCM of 740,8349]= 1/6178260

Therefore, the GCF of 5953/740,7275/8349 is 1/6178260.

Greatest Common Factor of 5953,7275

To find the highest common factor of 5953,7275, we have to find the factors of both numbers and list the highest common factor.

The factors of 5953 are 1, 5953

The factors of 7275 are 1, 3, 5, 15, 25, 75, 97, 291, 485, 1455, 2425, 7275

The HCF of 5953,7275 is 1.

Lets's calculate GCF of 5953,7275

Greatest Common Factor (GCF) of 5953,7275 By Common Division

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

Greatest Common Factor of 5953,7275 By Matching Biggest Common Factor Method

Now, list down the factors of 5953

1,5953

Now, list down the factors of 7275

1,3,5,15,25,75,97,291,485,1455,2425,7275

Greatest Common Factor

We found the factors 5953,7275 . The biggest common factor number is the GCF number.
So the greatest common factor 5953,7275 is 1.

Lets's calculate LCM of 740,8349

Lowest Common Multiple of 740,8349 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6178260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6178260

Therefore, the GCF of Fractions 5953/740,7275/8349 is 1/6178260

Least Common Multiple of 740,8349 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 740,8349 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,8349) = 1

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

GCF(740,8349) x common factors =1 x 1 = 1

LCM(740,8349) = ( 740 × 8349 ) / 1

LCM(740,8349) = 6178260 / 1

LCM(740,8349) = 6178260

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FAQs on GCF of Fractions of 5953/740, 7275/8349

1. What is the HCF of 5953,7275?

The HCF of 5953,7275 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 5953/740, 7275/8349?

Answer: GCF of Numerators as per given numbers 5953/740, 7275/8349 is

GCF of Numerators i.e. for 5953,7275 is 1

LCM of denominators i.e. for 740,8349 is 6178260.

Thus, GCF of Fractions is 1/6178260.Finally, GCF of Fractions for 5953/740, 7275/8349 is 1/6178260.