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 706/165, 466/166

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 706/165, 466/166 i.e 2/27390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 706/165, 466/166.

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 706/165,466/166?

Given fractions are 706/165,466/166

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 706/165,466/166, numerators are 706,466

Denominators are 165,166

The GCF of 706,466 is 2 .

LCM of 165,166 is 27390.

The greatest common factor of 706/165,466/166 = [GCF of 706,466]/[LCM of 165,166]= 2/27390

Therefore, the GCF of 706/165,466/166 is 2/27390.

Greatest Common Factor of 706,466

To find the highest common factor of 706,466, we have to find the factors of both numbers and list the highest common factor.

The factors of 706 are 1, 2, 353, 706

The factors of 466 are 1, 2, 233, 466

The HCF of 706,466 is 2.

Lets's calculate GCF of 706,466

Greatest Common Factor (GCF) of 706,466 By Common Division

2 706, 466
353, 233

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 706,466 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,466 By Matching Biggest Common Factor Method

Now, list down the factors of 706

:

1,2,353,706

Now, list down the factors of 466

:

1,2,233,466

Greatest Common Factor

We found the factors 706,466 . The biggest common factor number is the GCF number.
So the greatest common factor 706,466 is 2.

Lets's calculate LCM of 165,166

Lowest Common Multiple of 165,166 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27390

Therefore, the GCF of Fractions 706/165,466/166 is 2/27390

Least Common Multiple of 165,166 with GCF Formula

Least Common Multiple of 165,166 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 165,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(165,166) = 1

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

GCF(165,166) x common factors =1 x 1 = 1

LCM(165,166) = ( 165 × 166 ) / 1

LCM(165,166) = 27390 / 1

LCM(165,166) = 27390


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 706/165, 466/166

1. What is the HCF of 706,466?

The HCF of 706,466 is 2

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 706/165, 466/166?

Answer: GCF of Numerators as per given numbers 706/165, 466/166 is

GCF of Numerators i.e. for 706,466 is 2

LCM of denominators i.e. for 165,166 is 27390.

Thus, GCF of Fractions is 2/27390.Finally, GCF of Fractions for 706/165, 466/166 is 2/27390.