How to Find GCF of 5747/997, 5552/9504?

GCF of 5747/997, 5552/9504

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 5747/997, 5552/9504 i.e 1/9475488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5747/997, 5552/9504.

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 5747/997,5552/9504?

Given fractions are 5747/997,5552/9504

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 5747/997,5552/9504, numerators are 5747,5552

Denominators are 997,9504

The GCF of 5747,5552 is 1 .

LCM of 997,9504 is 9475488.

The greatest common factor of 5747/997,5552/9504 = [GCF of 5747,5552]/[LCM of 997,9504]= 1/9475488

Therefore, the GCF of 5747/997,5552/9504 is 1/9475488.

Greatest Common Factor of 5747,5552

To find the highest common factor of 5747,5552, we have to find the factors of both numbers and list the highest common factor.

The factors of 5747 are 1, 7, 821, 5747

The factors of 5552 are 1, 2, 4, 8, 16, 347, 694, 1388, 2776, 5552

The HCF of 5747,5552 is 1.

Lets's calculate GCF of 5747,5552

Greatest Common Factor (GCF) of 5747,5552 By Common Division

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

Greatest Common Factor of 5747,5552 By Matching Biggest Common Factor Method

Now, list down the factors of 5747

1,7,821,5747

Now, list down the factors of 5552

1,2,4,8,16,347,694,1388,2776,5552

Greatest Common Factor

We found the factors 5747,5552 . The biggest common factor number is the GCF number.
So the greatest common factor 5747,5552 is 1.

Lets's calculate LCM of 997,9504

Lowest Common Multiple of 997,9504 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9475488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9475488

Therefore, the GCF of Fractions 5747/997,5552/9504 is 1/9475488

Least Common Multiple of 997,9504 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 997,9504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,9504) = 1

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

GCF(997,9504) x common factors =1 x 1 = 1

LCM(997,9504) = ( 997 × 9504 ) / 1

LCM(997,9504) = 9475488 / 1

LCM(997,9504) = 9475488

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FAQs on GCF of Fractions of 5747/997, 5552/9504

1. What is the HCF of 5747,5552?

The HCF of 5747,5552 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 5747/997, 5552/9504?

Answer: GCF of Numerators as per given numbers 5747/997, 5552/9504 is

GCF of Numerators i.e. for 5747,5552 is 1

LCM of denominators i.e. for 997,9504 is 9475488.

Thus, GCF of Fractions is 1/9475488.Finally, GCF of Fractions for 5747/997, 5552/9504 is 1/9475488.