How to Find GCF of 350/179, 728/364?

GCF of 350/179, 728/364

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 350/179, 728/364 i.e 14/65156 easily. The following is the detailed procedure to determine the greatest common factor of fractions 350/179, 728/364.

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 350/179,728/364?

Given fractions are 350/179,728/364

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 350/179,728/364, numerators are 350,728

Denominators are 179,364

The GCF of 350,728 is 14 .

LCM of 179,364 is 65156.

The greatest common factor of 350/179,728/364 = [GCF of 350,728]/[LCM of 179,364]= 14/65156

Therefore, the GCF of 350/179,728/364 is 14/65156.

Greatest Common Factor of 350,728

To find the highest common factor of 350,728, we have to find the factors of both numbers and list the highest common factor.

The factors of 350 are 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

The factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

The HCF of 350,728 is 14.

Lets's calculate GCF of 350,728

Greatest Common Factor (GCF) of 350,728 By Common Division

2	350, 728
7	175, 364
	25, 52

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 350,728 By Matching Biggest Common Factor Method

Now, list down the factors of 350

1,2,5,7,10,14,25,35,50,70,175,350

Now, list down the factors of 728

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 350,728 . The biggest common factor number is the GCF number.
So the greatest common factor 350,728 is 14.

Lets's calculate LCM of 179,364

Lowest Common Multiple of 179,364 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 65156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/65156

Therefore, the GCF of Fractions 350/179,728/364 is 14/65156

Least Common Multiple of 179,364 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 179,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,364) = 1

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

GCF(179,364) x common factors =1 x 1 = 1

LCM(179,364) = ( 179 × 364 ) / 1

LCM(179,364) = 65156 / 1

LCM(179,364) = 65156

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 350/179, 728/364

1. What is the HCF of 350,728?

The HCF of 350,728 is 14

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 350/179, 728/364?

Answer: GCF of Numerators as per given numbers 350/179, 728/364 is

GCF of Numerators i.e. for 350,728 is 14

LCM of denominators i.e. for 179,364 is 65156.

Thus, GCF of Fractions is 14/65156.Finally, GCF of Fractions for 350/179, 728/364 is 14/65156.