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 430/274, 1789/492

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 430/274, 1789/492 i.e 1/67404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 430/274, 1789/492.

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 430/274,1789/492?

Given fractions are 430/274,1789/492

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 430/274,1789/492, numerators are 430,1789

Denominators are 274,492

The GCF of 430,1789 is 1 .

LCM of 274,492 is 67404.

The greatest common factor of 430/274,1789/492 = [GCF of 430,1789]/[LCM of 274,492]= 1/67404

Therefore, the GCF of 430/274,1789/492 is 1/67404.

Greatest Common Factor of 430,1789

To find the highest common factor of 430,1789, we have to find the factors of both numbers and list the highest common factor.

The factors of 430 are 1, 2, 5, 10, 43, 86, 215, 430

The factors of 1789 are 1, 1789

The HCF of 430,1789 is 1.

Lets's calculate GCF of 430,1789

Greatest Common Factor (GCF) of 430,1789 By Common Division

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

Greatest Common Factor of 430,1789 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,1789 By Matching Biggest Common Factor Method

Now, list down the factors of 430

:

1,2,5,10,43,86,215,430

Now, list down the factors of 1789

:

1,1789

Greatest Common Factor

We found the factors 430,1789 . The biggest common factor number is the GCF number.
So the greatest common factor 430,1789 is 1.

Lets's calculate LCM of 274,492

Lowest Common Multiple of 274,492 using Common Division

2 274, 492
137, 246

∴ So the LCM of the given numbers is 2 x 137 x 246 = 67404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67404

Therefore, the GCF of Fractions 430/274,1789/492 is 1/67404

Least Common Multiple of 274,492 with GCF Formula

Least Common Multiple of 274,492 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 274,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,492) = 2

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

GCF(274,492) x common factors =2 x 1 = 2

LCM(274,492) = ( 274 × 492 ) / 2

LCM(274,492) = 134808 / 2

LCM(274,492) = 67404


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 430/274, 1789/492

1. What is the HCF of 430,1789?

The HCF of 430,1789 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 430/274, 1789/492?

Answer: GCF of Numerators as per given numbers 430/274, 1789/492 is

GCF of Numerators i.e. for 430,1789 is 1

LCM of denominators i.e. for 274,492 is 67404.

Thus, GCF of Fractions is 1/67404.Finally, GCF of Fractions for 430/274, 1789/492 is 1/67404.