How to Find GCF of 448/606, 6329/394?

GCF of 448/606, 6329/394

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 448/606, 6329/394 i.e 1/119382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 448/606, 6329/394.

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 448/606,6329/394?

Given fractions are 448/606,6329/394

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 448/606,6329/394, numerators are 448,6329

Denominators are 606,394

The GCF of 448,6329 is 1 .

LCM of 606,394 is 119382.

The greatest common factor of 448/606,6329/394 = [GCF of 448,6329]/[LCM of 606,394]= 1/119382

Therefore, the GCF of 448/606,6329/394 is 1/119382.

Greatest Common Factor of 448,6329

To find the highest common factor of 448,6329, we have to find the factors of both numbers and list the highest common factor.

The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

The factors of 6329 are 1, 6329

The HCF of 448,6329 is 1.

Lets's calculate GCF of 448,6329

Greatest Common Factor (GCF) of 448,6329 By Common Division

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

Greatest Common Factor of 448,6329 By Matching Biggest Common Factor Method

Now, list down the factors of 448

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Now, list down the factors of 6329

1,6329

Greatest Common Factor

We found the factors 448,6329 . The biggest common factor number is the GCF number.
So the greatest common factor 448,6329 is 1.

Lets's calculate LCM of 606,394

Lowest Common Multiple of 606,394 using Common Division

2	606, 394
	303, 197

∴ So the LCM of the given numbers is 2 x 303 x 197 = 119382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/119382

Therefore, the GCF of Fractions 448/606,6329/394 is 1/119382

Least Common Multiple of 606,394 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 606,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,394) = 2

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

GCF(606,394) x common factors =2 x 1 = 2

LCM(606,394) = ( 606 × 394 ) / 2

LCM(606,394) = 238764 / 2

LCM(606,394) = 119382

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FAQs on GCF of Fractions of 448/606, 6329/394

1. What is the HCF of 448,6329?

The HCF of 448,6329 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 448/606, 6329/394?

Answer: GCF of Numerators as per given numbers 448/606, 6329/394 is

GCF of Numerators i.e. for 448,6329 is 1

LCM of denominators i.e. for 606,394 is 119382.

Thus, GCF of Fractions is 1/119382.Finally, GCF of Fractions for 448/606, 6329/394 is 1/119382.