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 849/689, 737/999

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 849/689, 737/999 i.e 1/688311 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/689, 737/999.

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 849/689,737/999?

Given fractions are 849/689,737/999

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 849/689,737/999, numerators are 849,737

Denominators are 689,999

The GCF of 849,737 is 1 .

LCM of 689,999 is 688311.

The greatest common factor of 849/689,737/999 = [GCF of 849,737]/[LCM of 689,999]= 1/688311

Therefore, the GCF of 849/689,737/999 is 1/688311.

Greatest Common Factor of 849,737

To find the highest common factor of 849,737, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 737 are 1, 11, 67, 737

The HCF of 849,737 is 1.

Lets's calculate GCF of 849,737

Greatest Common Factor (GCF) of 849,737 By Common Division

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

Greatest Common Factor of 849,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,737 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 737

:

1,11,67,737

Greatest Common Factor

We found the factors 849,737 . The biggest common factor number is the GCF number.
So the greatest common factor 849,737 is 1.

Lets's calculate LCM of 689,999

Lowest Common Multiple of 689,999 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 688311

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/688311

Therefore, the GCF of Fractions 849/689,737/999 is 1/688311

Least Common Multiple of 689,999 with GCF Formula

Least Common Multiple of 689,999 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 689,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,999) = 1

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

GCF(689,999) x common factors =1 x 1 = 1

LCM(689,999) = ( 689 × 999 ) / 1

LCM(689,999) = 688311 / 1

LCM(689,999) = 688311


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 849/689, 737/999

1. What is the HCF of 849,737?

The HCF of 849,737 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 849/689, 737/999?

Answer: GCF of Numerators as per given numbers 849/689, 737/999 is

GCF of Numerators i.e. for 849,737 is 1

LCM of denominators i.e. for 689,999 is 688311.

Thus, GCF of Fractions is 1/688311.Finally, GCF of Fractions for 849/689, 737/999 is 1/688311.