How to Find GCF of 377/46, 429/8049?

GCF of 377/46, 429/8049

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 377/46, 429/8049 i.e 13/370254 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/46, 429/8049.

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 377/46,429/8049?

Given fractions are 377/46,429/8049

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 377/46,429/8049, numerators are 377,429

Denominators are 46,8049

The GCF of 377,429 is 13 .

LCM of 46,8049 is 370254.

The greatest common factor of 377/46,429/8049 = [GCF of 377,429]/[LCM of 46,8049]= 13/370254

Therefore, the GCF of 377/46,429/8049 is 13/370254.

Greatest Common Factor of 377,429

To find the highest common factor of 377,429, we have to find the factors of both numbers and list the highest common factor.

The factors of 377 are 1, 13, 29, 377

The factors of 429 are 1, 3, 11, 13, 33, 39, 143, 429

The HCF of 377,429 is 13.

Lets's calculate GCF of 377,429

Greatest Common Factor (GCF) of 377,429 By Common Division

13	377, 429
	29, 33

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 377,429 By Matching Biggest Common Factor Method

Now, list down the factors of 377

1,13,29,377

Now, list down the factors of 429

1,3,11,13,33,39,143,429

Greatest Common Factor

We found the factors 377,429 . The biggest common factor number is the GCF number.
So the greatest common factor 377,429 is 13.

Lets's calculate LCM of 46,8049

Lowest Common Multiple of 46,8049 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 370254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/370254

Therefore, the GCF of Fractions 377/46,429/8049 is 13/370254

Least Common Multiple of 46,8049 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 46,8049 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,8049) = 1

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

GCF(46,8049) x common factors =1 x 1 = 1

LCM(46,8049) = ( 46 × 8049 ) / 1

LCM(46,8049) = 370254 / 1

LCM(46,8049) = 370254

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FAQs on GCF of Fractions of 377/46, 429/8049

1. What is the HCF of 377,429?

The HCF of 377,429 is 13

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 377/46, 429/8049?

Answer: GCF of Numerators as per given numbers 377/46, 429/8049 is

GCF of Numerators i.e. for 377,429 is 13

LCM of denominators i.e. for 46,8049 is 370254.

Thus, GCF of Fractions is 13/370254.Finally, GCF of Fractions for 377/46, 429/8049 is 13/370254.