How to Find GCF of 646/288, 3797/385?

GCF of 646/288, 3797/385

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 646/288, 3797/385 i.e 1/110880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 646/288, 3797/385.

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 646/288,3797/385?

Given fractions are 646/288,3797/385

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 646/288,3797/385, numerators are 646,3797

Denominators are 288,385

The GCF of 646,3797 is 1 .

LCM of 288,385 is 110880.

The greatest common factor of 646/288,3797/385 = [GCF of 646,3797]/[LCM of 288,385]= 1/110880

Therefore, the GCF of 646/288,3797/385 is 1/110880.

Greatest Common Factor of 646,3797

To find the highest common factor of 646,3797, we have to find the factors of both numbers and list the highest common factor.

The factors of 646 are 1, 2, 17, 19, 34, 38, 323, 646

The factors of 3797 are 1, 3797

The HCF of 646,3797 is 1.

Lets's calculate GCF of 646,3797

Greatest Common Factor (GCF) of 646,3797 By Common Division

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

Greatest Common Factor of 646,3797 By Matching Biggest Common Factor Method

Now, list down the factors of 646

1,2,17,19,34,38,323,646

Now, list down the factors of 3797

1,3797

Greatest Common Factor

We found the factors 646,3797 . The biggest common factor number is the GCF number.
So the greatest common factor 646,3797 is 1.

Lets's calculate LCM of 288,385

Lowest Common Multiple of 288,385 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110880

Therefore, the GCF of Fractions 646/288,3797/385 is 1/110880

Least Common Multiple of 288,385 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 288,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,385) = 1

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

GCF(288,385) x common factors =1 x 1 = 1

LCM(288,385) = ( 288 × 385 ) / 1

LCM(288,385) = 110880 / 1

LCM(288,385) = 110880

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FAQs on GCF of Fractions of 646/288, 3797/385

1. What is the HCF of 646,3797?

The HCF of 646,3797 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 646/288, 3797/385?

Answer: GCF of Numerators as per given numbers 646/288, 3797/385 is

GCF of Numerators i.e. for 646,3797 is 1

LCM of denominators i.e. for 288,385 is 110880.

Thus, GCF of Fractions is 1/110880.Finally, GCF of Fractions for 646/288, 3797/385 is 1/110880.