How to Find GCF of 3773/271, 3575/7945?

GCF of 3773/271, 3575/7945

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 3773/271, 3575/7945 i.e 11/2153095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3773/271, 3575/7945.

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 3773/271,3575/7945?

Given fractions are 3773/271,3575/7945

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 3773/271,3575/7945, numerators are 3773,3575

Denominators are 271,7945

The GCF of 3773,3575 is 11 .

LCM of 271,7945 is 2153095.

The greatest common factor of 3773/271,3575/7945 = [GCF of 3773,3575]/[LCM of 271,7945]= 11/2153095

Therefore, the GCF of 3773/271,3575/7945 is 11/2153095.

Greatest Common Factor of 3773,3575

To find the highest common factor of 3773,3575, we have to find the factors of both numbers and list the highest common factor.

The factors of 3773 are 1, 7, 11, 49, 77, 343, 539, 3773

The factors of 3575 are 1, 5, 11, 13, 25, 55, 65, 143, 275, 325, 715, 3575

The HCF of 3773,3575 is 11.

Lets's calculate GCF of 3773,3575

Greatest Common Factor (GCF) of 3773,3575 By Common Division

11	3773, 3575
	343, 325

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3773,3575 By Matching Biggest Common Factor Method

Now, list down the factors of 3773

1,7,11,49,77,343,539,3773

Now, list down the factors of 3575

1,5,11,13,25,55,65,143,275,325,715,3575

Greatest Common Factor

We found the factors 3773,3575 . The biggest common factor number is the GCF number.
So the greatest common factor 3773,3575 is 11.

Lets's calculate LCM of 271,7945

Lowest Common Multiple of 271,7945 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2153095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2153095

Therefore, the GCF of Fractions 3773/271,3575/7945 is 11/2153095

Least Common Multiple of 271,7945 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 271,7945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,7945) = 1

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

GCF(271,7945) x common factors =1 x 1 = 1

LCM(271,7945) = ( 271 × 7945 ) / 1

LCM(271,7945) = 2153095 / 1

LCM(271,7945) = 2153095

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FAQs on GCF of Fractions of 3773/271, 3575/7945

1. What is the HCF of 3773,3575?

The HCF of 3773,3575 is 11

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 3773/271, 3575/7945?

Answer: GCF of Numerators as per given numbers 3773/271, 3575/7945 is

GCF of Numerators i.e. for 3773,3575 is 11

LCM of denominators i.e. for 271,7945 is 2153095.

Thus, GCF of Fractions is 11/2153095.Finally, GCF of Fractions for 3773/271, 3575/7945 is 11/2153095.