How to Find GCF of 3035/296, 5351/8277?

GCF of 3035/296, 5351/8277

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 3035/296, 5351/8277 i.e 1/2449992 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3035/296, 5351/8277.

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 3035/296,5351/8277?

Given fractions are 3035/296,5351/8277

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 3035/296,5351/8277, numerators are 3035,5351

Denominators are 296,8277

The GCF of 3035,5351 is 1 .

LCM of 296,8277 is 2449992.

The greatest common factor of 3035/296,5351/8277 = [GCF of 3035,5351]/[LCM of 296,8277]= 1/2449992

Therefore, the GCF of 3035/296,5351/8277 is 1/2449992.

Greatest Common Factor of 3035,5351

To find the highest common factor of 3035,5351, we have to find the factors of both numbers and list the highest common factor.

The factors of 3035 are 1, 5, 607, 3035

The factors of 5351 are 1, 5351

The HCF of 3035,5351 is 1.

Lets's calculate GCF of 3035,5351

Greatest Common Factor (GCF) of 3035,5351 By Common Division

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

Greatest Common Factor of 3035,5351 By Matching Biggest Common Factor Method

Now, list down the factors of 3035

1,5,607,3035

Now, list down the factors of 5351

1,5351

Greatest Common Factor

We found the factors 3035,5351 . The biggest common factor number is the GCF number.
So the greatest common factor 3035,5351 is 1.

Lets's calculate LCM of 296,8277

Lowest Common Multiple of 296,8277 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2449992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2449992

Therefore, the GCF of Fractions 3035/296,5351/8277 is 1/2449992

Least Common Multiple of 296,8277 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 296,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,8277) = 1

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

GCF(296,8277) x common factors =1 x 1 = 1

LCM(296,8277) = ( 296 × 8277 ) / 1

LCM(296,8277) = 2449992 / 1

LCM(296,8277) = 2449992

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FAQs on GCF of Fractions of 3035/296, 5351/8277

1. What is the HCF of 3035,5351?

The HCF of 3035,5351 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 3035/296, 5351/8277?

Answer: GCF of Numerators as per given numbers 3035/296, 5351/8277 is

GCF of Numerators i.e. for 3035,5351 is 1

LCM of denominators i.e. for 296,8277 is 2449992.

Thus, GCF of Fractions is 1/2449992.Finally, GCF of Fractions for 3035/296, 5351/8277 is 1/2449992.