How to Find GCF of 3701/331, 6489/445?

GCF of 3701/331, 6489/445

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 3701/331, 6489/445 i.e 1/147295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3701/331, 6489/445.

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 3701/331,6489/445?

Given fractions are 3701/331,6489/445

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 3701/331,6489/445, numerators are 3701,6489

Denominators are 331,445

The GCF of 3701,6489 is 1 .

LCM of 331,445 is 147295.

The greatest common factor of 3701/331,6489/445 = [GCF of 3701,6489]/[LCM of 331,445]= 1/147295

Therefore, the GCF of 3701/331,6489/445 is 1/147295.

Greatest Common Factor of 3701,6489

To find the highest common factor of 3701,6489, we have to find the factors of both numbers and list the highest common factor.

The factors of 3701 are 1, 3701

The factors of 6489 are 1, 3, 7, 9, 21, 63, 103, 309, 721, 927, 2163, 6489

The HCF of 3701,6489 is 1.

Lets's calculate GCF of 3701,6489

Greatest Common Factor (GCF) of 3701,6489 By Common Division

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

Greatest Common Factor of 3701,6489 By Matching Biggest Common Factor Method

Now, list down the factors of 3701

1,3701

Now, list down the factors of 6489

1,3,7,9,21,63,103,309,721,927,2163,6489

Greatest Common Factor

We found the factors 3701,6489 . The biggest common factor number is the GCF number.
So the greatest common factor 3701,6489 is 1.

Lets's calculate LCM of 331,445

Lowest Common Multiple of 331,445 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 147295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147295

Therefore, the GCF of Fractions 3701/331,6489/445 is 1/147295

Least Common Multiple of 331,445 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 331,445 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(331,445) = 1

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

GCF(331,445) x common factors =1 x 1 = 1

LCM(331,445) = ( 331 × 445 ) / 1

LCM(331,445) = 147295 / 1

LCM(331,445) = 147295

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FAQs on GCF of Fractions of 3701/331, 6489/445

1. What is the HCF of 3701,6489?

The HCF of 3701,6489 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 3701/331, 6489/445?

Answer: GCF of Numerators as per given numbers 3701/331, 6489/445 is

GCF of Numerators i.e. for 3701,6489 is 1

LCM of denominators i.e. for 331,445 is 147295.

Thus, GCF of Fractions is 1/147295.Finally, GCF of Fractions for 3701/331, 6489/445 is 1/147295.