LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 196/28, 353/828

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 196/28, 353/828 i.e 1/5796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/28, 353/828.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 196/28,353/828?

Given fractions are 196/28,353/828

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 196/28,353/828, numerators are 196,353

Denominators are 28,828

The GCF of 196,353 is 1 .

LCM of 28,828 is 5796.

The greatest common factor of 196/28,353/828 = [GCF of 196,353]/[LCM of 28,828]= 1/5796

Therefore, the GCF of 196/28,353/828 is 1/5796.

Greatest Common Factor of 196,353

To find the highest common factor of 196,353, we have to find the factors of both numbers and list the highest common factor.

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196

The factors of 353 are 1, 353

The HCF of 196,353 is 1.

Lets's calculate GCF of 196,353

Greatest Common Factor (GCF) of 196,353 By Common Division

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

Greatest Common Factor of 196,353 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,353 By Matching Biggest Common Factor Method

Now, list down the factors of 196

:

1,2,4,7,14,28,49,98,196

Now, list down the factors of 353

:

1,353

Greatest Common Factor

We found the factors 196,353 . The biggest common factor number is the GCF number.
So the greatest common factor 196,353 is 1.

Lets's calculate LCM of 28,828

Lowest Common Multiple of 28,828 using Common Division

2 28, 828
2 14, 414
7, 207

∴ So the LCM of the given numbers is 2 x 2 x 7 x 207 = 5796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796

Therefore, the GCF of Fractions 196/28,353/828 is 1/5796

Least Common Multiple of 28,828 with GCF Formula

Least Common Multiple of 28,828 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 28,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,828) = 4

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

GCF(28,828) x common factors =4 x 1 = 4

LCM(28,828) = ( 28 × 828 ) / 4

LCM(28,828) = 23184 / 4

LCM(28,828) = 5796


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 196/28, 353/828

1. What is the HCF of 196,353?

The HCF of 196,353 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 196/28, 353/828?

Answer: GCF of Numerators as per given numbers 196/28, 353/828 is

GCF of Numerators i.e. for 196,353 is 1

LCM of denominators i.e. for 28,828 is 5796.

Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 196/28, 353/828 is 1/5796.