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 289/826, 8807/434

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 289/826, 8807/434 i.e 1/25606 easily. The following is the detailed procedure to determine the greatest common factor of fractions 289/826, 8807/434.

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 289/826,8807/434?

Given fractions are 289/826,8807/434

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 289/826,8807/434, numerators are 289,8807

Denominators are 826,434

The GCF of 289,8807 is 1 .

LCM of 826,434 is 25606.

The greatest common factor of 289/826,8807/434 = [GCF of 289,8807]/[LCM of 826,434]= 1/25606

Therefore, the GCF of 289/826,8807/434 is 1/25606.

Greatest Common Factor of 289,8807

To find the highest common factor of 289,8807, we have to find the factors of both numbers and list the highest common factor.

The factors of 289 are 1, 17, 289

The factors of 8807 are 1, 8807

The HCF of 289,8807 is 1.

Lets's calculate GCF of 289,8807

Greatest Common Factor (GCF) of 289,8807 By Common Division

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

Greatest Common Factor of 289,8807 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,8807 By Matching Biggest Common Factor Method

Now, list down the factors of 289

:

1,17,289

Now, list down the factors of 8807

:

1,8807

Greatest Common Factor

We found the factors 289,8807 . The biggest common factor number is the GCF number.
So the greatest common factor 289,8807 is 1.

Lets's calculate LCM of 826,434

Lowest Common Multiple of 826,434 using Common Division

2 826, 434
7 413, 217
59, 31

∴ So the LCM of the given numbers is 2 x 7 x 59 x 31 = 25606

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25606

Therefore, the GCF of Fractions 289/826,8807/434 is 1/25606

Least Common Multiple of 826,434 with GCF Formula

Least Common Multiple of 826,434 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 826,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(826,434) = 14

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

GCF(826,434) x common factors =14 x 1 = 14

LCM(826,434) = ( 826 × 434 ) / 14

LCM(826,434) = 358484 / 14

LCM(826,434) = 25606


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 289/826, 8807/434

1. What is the HCF of 289,8807?

The HCF of 289,8807 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 289/826, 8807/434?

Answer: GCF of Numerators as per given numbers 289/826, 8807/434 is

GCF of Numerators i.e. for 289,8807 is 1

LCM of denominators i.e. for 826,434 is 25606.

Thus, GCF of Fractions is 1/25606.Finally, GCF of Fractions for 289/826, 8807/434 is 1/25606.