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 559/28, 918/934

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 559/28, 918/934 i.e 1/13076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/28, 918/934.

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 559/28,918/934?

Given fractions are 559/28,918/934

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 559/28,918/934, numerators are 559,918

Denominators are 28,934

The GCF of 559,918 is 1 .

LCM of 28,934 is 13076.

The greatest common factor of 559/28,918/934 = [GCF of 559,918]/[LCM of 28,934]= 1/13076

Therefore, the GCF of 559/28,918/934 is 1/13076.

Greatest Common Factor of 559,918

To find the highest common factor of 559,918, we have to find the factors of both numbers and list the highest common factor.

The factors of 559 are 1, 13, 43, 559

The factors of 918 are 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

The HCF of 559,918 is 1.

Lets's calculate GCF of 559,918

Greatest Common Factor (GCF) of 559,918 By Common Division

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

Greatest Common Factor of 559,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,918 By Matching Biggest Common Factor Method

Now, list down the factors of 559

:

1,13,43,559

Now, list down the factors of 918

:

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 559,918 . The biggest common factor number is the GCF number.
So the greatest common factor 559,918 is 1.

Lets's calculate LCM of 28,934

Lowest Common Multiple of 28,934 using Common Division

2 28, 934
14, 467

∴ So the LCM of the given numbers is 2 x 14 x 467 = 13076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13076

Therefore, the GCF of Fractions 559/28,918/934 is 1/13076

Least Common Multiple of 28,934 with GCF Formula

Least Common Multiple of 28,934 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 28,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,934) = 2

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

GCF(28,934) x common factors =2 x 1 = 2

LCM(28,934) = ( 28 × 934 ) / 2

LCM(28,934) = 26152 / 2

LCM(28,934) = 13076


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 559/28, 918/934

1. What is the HCF of 559,918?

The HCF of 559,918 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 559/28, 918/934?

Answer: GCF of Numerators as per given numbers 559/28, 918/934 is

GCF of Numerators i.e. for 559,918 is 1

LCM of denominators i.e. for 28,934 is 13076.

Thus, GCF of Fractions is 1/13076.Finally, GCF of Fractions for 559/28, 918/934 is 1/13076.