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 893/50, 422/1755

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 893/50, 422/1755 i.e 1/17550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 893/50, 422/1755.

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 893/50,422/1755?

Given fractions are 893/50,422/1755

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 893/50,422/1755, numerators are 893,422

Denominators are 50,1755

The GCF of 893,422 is 1 .

LCM of 50,1755 is 17550.

The greatest common factor of 893/50,422/1755 = [GCF of 893,422]/[LCM of 50,1755]= 1/17550

Therefore, the GCF of 893/50,422/1755 is 1/17550.

Greatest Common Factor of 893,422

To find the highest common factor of 893,422, we have to find the factors of both numbers and list the highest common factor.

The factors of 893 are 1, 19, 47, 893

The factors of 422 are 1, 2, 211, 422

The HCF of 893,422 is 1.

Lets's calculate GCF of 893,422

Greatest Common Factor (GCF) of 893,422 By Common Division

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

Greatest Common Factor of 893,422 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,422 By Matching Biggest Common Factor Method

Now, list down the factors of 893

:

1,19,47,893

Now, list down the factors of 422

:

1,2,211,422

Greatest Common Factor

We found the factors 893,422 . The biggest common factor number is the GCF number.
So the greatest common factor 893,422 is 1.

Lets's calculate LCM of 50,1755

Lowest Common Multiple of 50,1755 using Common Division

5 50, 1755
10, 351

∴ So the LCM of the given numbers is 5 x 10 x 351 = 17550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17550

Therefore, the GCF of Fractions 893/50,422/1755 is 1/17550

Least Common Multiple of 50,1755 with GCF Formula

Least Common Multiple of 50,1755 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 50,1755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(50,1755) = 5

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

GCF(50,1755) x common factors =5 x 1 = 5

LCM(50,1755) = ( 50 × 1755 ) / 5

LCM(50,1755) = 87750 / 5

LCM(50,1755) = 17550


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 893/50, 422/1755

1. What is the HCF of 893,422?

The HCF of 893,422 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 893/50, 422/1755?

Answer: GCF of Numerators as per given numbers 893/50, 422/1755 is

GCF of Numerators i.e. for 893,422 is 1

LCM of denominators i.e. for 50,1755 is 17550.

Thus, GCF of Fractions is 1/17550.Finally, GCF of Fractions for 893/50, 422/1755 is 1/17550.