How to Find GCF of 19/80, 853/58, 349/868?

GCF of 19/80, 853/58, 349/868

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 19/80, 853/58, 349/868 i.e 1/503440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 19/80, 853/58, 349/868.

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 19/80,853/58,349/868?

Given fractions are 19/80,853/58,349/868

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 19/80,853/58,349/868, numerators are 19,853,349

Denominators are 80,58,868

The GCF of 19,853,349 is 1 .

LCM of 80,58,868 is 503440.

The greatest common factor of 19/80,853/58,349/868 = [GCF of 19,853,349]/[LCM of 80,58,868]= 1/503440

Therefore, the GCF of 19/80,853/58,349/868 is 1/503440.

Greatest Common Factor of 19,853,349

To find the highest common factor of 19,853,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 19 are 1, 19

The factors of 853 are 1, 853

The factors of 349 are 1, 349

The HCF of 19,853,349 is 1.

Lets's calculate GCF of 19,853,349

Greatest Common Factor (GCF) of 19,853,349 By Common Division

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

Greatest Common Factor of 19,853,349 By Matching Biggest Common Factor Method

Now, list down the factors of 19

1,19

Now, list down the factors of 853

1,853

Now, list down the factors of 349

1,349

Greatest Common Factor

We found the factors 19,853,349 . The biggest common factor number is the GCF number.
So the greatest common factor 19,853,349 is 1.

Lets's calculate LCM of 80,58,868

Lowest Common Multiple of 80,58,868 using Common Division

2	80, 58, 868
2	40, 29, 434
	20, 29, 217

∴ So the LCM of the given numbers is 2 x 2 x 20 x 29 x 217 = 503440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/503440

Therefore, the GCF of Fractions 19/80,853/58,349/868 is 1/503440

Least Common Multiple of 80,58,868 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 80,58,868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,58,868) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(80,58,868) x common factors =2 x 4 = 8

LCM(80,58,868) = ( 80 × 58 × 868 ) / 8

LCM(80,58,868) = 4027520 / 8

LCM(80,58,868) = 503440

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 19/80, 853/58, 349/868

1. What is the HCF of 19,853,349?

The HCF of 19,853,349 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 19/80, 853/58, 349/868?

Answer: GCF of Numerators as per given numbers 19/80, 853/58, 349/868 is

GCF of Numerators i.e. for 19,853,349 is 1

LCM of denominators i.e. for 80,58,868 is 503440.

Thus, GCF of Fractions is 1/503440.Finally, GCF of Fractions for 19/80, 853/58, 349/868 is 1/503440.