How to Find GCF of 7037/275, 3993/692?

GCF of 7037/275, 3993/692

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 7037/275, 3993/692 i.e 1/190300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7037/275, 3993/692.

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 7037/275,3993/692?

Given fractions are 7037/275,3993/692

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 7037/275,3993/692, numerators are 7037,3993

Denominators are 275,692

The GCF of 7037,3993 is 1 .

LCM of 275,692 is 190300.

The greatest common factor of 7037/275,3993/692 = [GCF of 7037,3993]/[LCM of 275,692]= 1/190300

Therefore, the GCF of 7037/275,3993/692 is 1/190300.

Greatest Common Factor of 7037,3993

To find the highest common factor of 7037,3993, we have to find the factors of both numbers and list the highest common factor.

The factors of 7037 are 1, 31, 227, 7037

The factors of 3993 are 1, 3, 11, 33, 121, 363, 1331, 3993

The HCF of 7037,3993 is 1.

Lets's calculate GCF of 7037,3993

Greatest Common Factor (GCF) of 7037,3993 By Common Division

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

Greatest Common Factor of 7037,3993 By Matching Biggest Common Factor Method

Now, list down the factors of 7037

1,31,227,7037

Now, list down the factors of 3993

1,3,11,33,121,363,1331,3993

Greatest Common Factor

We found the factors 7037,3993 . The biggest common factor number is the GCF number.
So the greatest common factor 7037,3993 is 1.

Lets's calculate LCM of 275,692

Lowest Common Multiple of 275,692 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 190300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190300

Therefore, the GCF of Fractions 7037/275,3993/692 is 1/190300

Least Common Multiple of 275,692 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 275,692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,692) = 1

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

GCF(275,692) x common factors =1 x 1 = 1

LCM(275,692) = ( 275 × 692 ) / 1

LCM(275,692) = 190300 / 1

LCM(275,692) = 190300

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FAQs on GCF of Fractions of 7037/275, 3993/692

1. What is the HCF of 7037,3993?

The HCF of 7037,3993 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 7037/275, 3993/692?

Answer: GCF of Numerators as per given numbers 7037/275, 3993/692 is

GCF of Numerators i.e. for 7037,3993 is 1

LCM of denominators i.e. for 275,692 is 190300.

Thus, GCF of Fractions is 1/190300.Finally, GCF of Fractions for 7037/275, 3993/692 is 1/190300.