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 698/226, 147/738

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 698/226, 147/738 i.e 1/83394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 698/226, 147/738.

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 698/226,147/738?

Given fractions are 698/226,147/738

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 698/226,147/738, numerators are 698,147

Denominators are 226,738

The GCF of 698,147 is 1 .

LCM of 226,738 is 83394.

The greatest common factor of 698/226,147/738 = [GCF of 698,147]/[LCM of 226,738]= 1/83394

Therefore, the GCF of 698/226,147/738 is 1/83394.

Greatest Common Factor of 698,147

To find the highest common factor of 698,147, we have to find the factors of both numbers and list the highest common factor.

The factors of 698 are 1, 2, 349, 698

The factors of 147 are 1, 3, 7, 21, 49, 147

The HCF of 698,147 is 1.

Lets's calculate GCF of 698,147

Greatest Common Factor (GCF) of 698,147 By Common Division

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

Greatest Common Factor of 698,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,147 By Matching Biggest Common Factor Method

Now, list down the factors of 698

:

1,2,349,698

Now, list down the factors of 147

:

1,3,7,21,49,147

Greatest Common Factor

We found the factors 698,147 . The biggest common factor number is the GCF number.
So the greatest common factor 698,147 is 1.

Lets's calculate LCM of 226,738

Lowest Common Multiple of 226,738 using Common Division

2 226, 738
113, 369

∴ So the LCM of the given numbers is 2 x 113 x 369 = 83394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/83394

Therefore, the GCF of Fractions 698/226,147/738 is 1/83394

Least Common Multiple of 226,738 with GCF Formula

Least Common Multiple of 226,738 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 226,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(226,738) = 2

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

GCF(226,738) x common factors =2 x 1 = 2

LCM(226,738) = ( 226 × 738 ) / 2

LCM(226,738) = 166788 / 2

LCM(226,738) = 83394


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 698/226, 147/738

1. What is the HCF of 698,147?

The HCF of 698,147 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 698/226, 147/738?

Answer: GCF of Numerators as per given numbers 698/226, 147/738 is

GCF of Numerators i.e. for 698,147 is 1

LCM of denominators i.e. for 226,738 is 83394.

Thus, GCF of Fractions is 1/83394.Finally, GCF of Fractions for 698/226, 147/738 is 1/83394.