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 166/238, 6574/743

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 166/238, 6574/743 i.e 2/176834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/238, 6574/743.

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 166/238,6574/743?

Given fractions are 166/238,6574/743

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 166/238,6574/743, numerators are 166,6574

Denominators are 238,743

The GCF of 166,6574 is 2 .

LCM of 238,743 is 176834.

The greatest common factor of 166/238,6574/743 = [GCF of 166,6574]/[LCM of 238,743]= 2/176834

Therefore, the GCF of 166/238,6574/743 is 2/176834.

Greatest Common Factor of 166,6574

To find the highest common factor of 166,6574, we have to find the factors of both numbers and list the highest common factor.

The factors of 166 are 1, 2, 83, 166

The factors of 6574 are 1, 2, 19, 38, 173, 346, 3287, 6574

The HCF of 166,6574 is 2.

Lets's calculate GCF of 166,6574

Greatest Common Factor (GCF) of 166,6574 By Common Division

2 166, 6574
83, 3287

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

Greatest Common Factor of 166,6574 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,6574 By Matching Biggest Common Factor Method

Now, list down the factors of 166

:

1,2,83,166

Now, list down the factors of 6574

:

1,2,19,38,173,346,3287,6574

Greatest Common Factor

We found the factors 166,6574 . The biggest common factor number is the GCF number.
So the greatest common factor 166,6574 is 2.

Lets's calculate LCM of 238,743

Lowest Common Multiple of 238,743 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 176834

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/176834

Therefore, the GCF of Fractions 166/238,6574/743 is 2/176834

Least Common Multiple of 238,743 with GCF Formula

Least Common Multiple of 238,743 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 238,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,743) = 1

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

GCF(238,743) x common factors =1 x 1 = 1

LCM(238,743) = ( 238 × 743 ) / 1

LCM(238,743) = 176834 / 1

LCM(238,743) = 176834


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 166/238, 6574/743

1. What is the HCF of 166,6574?

The HCF of 166,6574 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 166/238, 6574/743?

Answer: GCF of Numerators as per given numbers 166/238, 6574/743 is

GCF of Numerators i.e. for 166,6574 is 2

LCM of denominators i.e. for 238,743 is 176834.

Thus, GCF of Fractions is 2/176834.Finally, GCF of Fractions for 166/238, 6574/743 is 2/176834.