How to Find GCF of 443/130, 842/429?

GCF of 443/130, 842/429

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 443/130, 842/429 i.e 1/4290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 443/130, 842/429.

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 443/130,842/429?

Given fractions are 443/130,842/429

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 443/130,842/429, numerators are 443,842

Denominators are 130,429

The GCF of 443,842 is 1 .

LCM of 130,429 is 4290.

The greatest common factor of 443/130,842/429 = [GCF of 443,842]/[LCM of 130,429]= 1/4290

Therefore, the GCF of 443/130,842/429 is 1/4290.

Greatest Common Factor of 443,842

To find the highest common factor of 443,842, we have to find the factors of both numbers and list the highest common factor.

The factors of 443 are 1, 443

The factors of 842 are 1, 2, 421, 842

The HCF of 443,842 is 1.

Lets's calculate GCF of 443,842

Greatest Common Factor (GCF) of 443,842 By Common Division

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

Greatest Common Factor of 443,842 By Matching Biggest Common Factor Method

Now, list down the factors of 443

1,443

Now, list down the factors of 842

1,2,421,842

Greatest Common Factor

We found the factors 443,842 . The biggest common factor number is the GCF number.
So the greatest common factor 443,842 is 1.

Lets's calculate LCM of 130,429

Lowest Common Multiple of 130,429 using Common Division

13	130, 429
	10, 33

∴ So the LCM of the given numbers is 13 x 10 x 33 = 4290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4290

Therefore, the GCF of Fractions 443/130,842/429 is 1/4290

Least Common Multiple of 130,429 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 130,429 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,429) = 13

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

GCF(130,429) x common factors =13 x 1 = 13

LCM(130,429) = ( 130 × 429 ) / 13

LCM(130,429) = 55770 / 13

LCM(130,429) = 4290

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FAQs on GCF of Fractions of 443/130, 842/429

1. What is the HCF of 443,842?

The HCF of 443,842 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 443/130, 842/429?

Answer: GCF of Numerators as per given numbers 443/130, 842/429 is

GCF of Numerators i.e. for 443,842 is 1

LCM of denominators i.e. for 130,429 is 4290.

Thus, GCF of Fractions is 1/4290.Finally, GCF of Fractions for 443/130, 842/429 is 1/4290.