How to Find GCF of 367/42, 521/6704?

GCF of 367/42, 521/6704

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 367/42, 521/6704 i.e 1/140784 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/42, 521/6704.

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 367/42,521/6704?

Given fractions are 367/42,521/6704

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 367/42,521/6704, numerators are 367,521

Denominators are 42,6704

The GCF of 367,521 is 1 .

LCM of 42,6704 is 140784.

The greatest common factor of 367/42,521/6704 = [GCF of 367,521]/[LCM of 42,6704]= 1/140784

Therefore, the GCF of 367/42,521/6704 is 1/140784.

Greatest Common Factor of 367,521

To find the highest common factor of 367,521, we have to find the factors of both numbers and list the highest common factor.

The factors of 367 are 1, 367

The factors of 521 are 1, 521

The HCF of 367,521 is 1.

Lets's calculate GCF of 367,521

Greatest Common Factor (GCF) of 367,521 By Common Division

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

Greatest Common Factor of 367,521 By Matching Biggest Common Factor Method

Now, list down the factors of 367

1,367

Now, list down the factors of 521

1,521

Greatest Common Factor

We found the factors 367,521 . The biggest common factor number is the GCF number.
So the greatest common factor 367,521 is 1.

Lets's calculate LCM of 42,6704

Lowest Common Multiple of 42,6704 using Common Division

2	42, 6704
	21, 3352

∴ So the LCM of the given numbers is 2 x 21 x 3352 = 140784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140784

Therefore, the GCF of Fractions 367/42,521/6704 is 1/140784

Least Common Multiple of 42,6704 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 42,6704 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,6704) = 2

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

GCF(42,6704) x common factors =2 x 1 = 2

LCM(42,6704) = ( 42 × 6704 ) / 2

LCM(42,6704) = 281568 / 2

LCM(42,6704) = 140784

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FAQs on GCF of Fractions of 367/42, 521/6704

1. What is the HCF of 367,521?

The HCF of 367,521 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 367/42, 521/6704?

Answer: GCF of Numerators as per given numbers 367/42, 521/6704 is

GCF of Numerators i.e. for 367,521 is 1

LCM of denominators i.e. for 42,6704 is 140784.

Thus, GCF of Fractions is 1/140784.Finally, GCF of Fractions for 367/42, 521/6704 is 1/140784.