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 172/668, 746/942

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 172/668, 746/942 i.e 2/314628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 172/668, 746/942.

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 172/668,746/942?

Given fractions are 172/668,746/942

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 172/668,746/942, numerators are 172,746

Denominators are 668,942

The GCF of 172,746 is 2 .

LCM of 668,942 is 314628.

The greatest common factor of 172/668,746/942 = [GCF of 172,746]/[LCM of 668,942]= 2/314628

Therefore, the GCF of 172/668,746/942 is 2/314628.

Greatest Common Factor of 172,746

To find the highest common factor of 172,746, we have to find the factors of both numbers and list the highest common factor.

The factors of 172 are 1, 2, 4, 43, 86, 172

The factors of 746 are 1, 2, 373, 746

The HCF of 172,746 is 2.

Lets's calculate GCF of 172,746

Greatest Common Factor (GCF) of 172,746 By Common Division

2 172, 746
86, 373

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

Greatest Common Factor of 172,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 172,746 By Matching Biggest Common Factor Method

Now, list down the factors of 172

:

1,2,4,43,86,172

Now, list down the factors of 746

:

1,2,373,746

Greatest Common Factor

We found the factors 172,746 . The biggest common factor number is the GCF number.
So the greatest common factor 172,746 is 2.

Lets's calculate LCM of 668,942

Lowest Common Multiple of 668,942 using Common Division

2 668, 942
334, 471

∴ So the LCM of the given numbers is 2 x 334 x 471 = 314628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/314628

Therefore, the GCF of Fractions 172/668,746/942 is 2/314628

Least Common Multiple of 668,942 with GCF Formula

Least Common Multiple of 668,942 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 668,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,942) = 2

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

GCF(668,942) x common factors =2 x 1 = 2

LCM(668,942) = ( 668 × 942 ) / 2

LCM(668,942) = 629256 / 2

LCM(668,942) = 314628


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 172/668, 746/942

1. What is the HCF of 172,746?

The HCF of 172,746 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 172/668, 746/942?

Answer: GCF of Numerators as per given numbers 172/668, 746/942 is

GCF of Numerators i.e. for 172,746 is 2

LCM of denominators i.e. for 668,942 is 314628.

Thus, GCF of Fractions is 2/314628.Finally, GCF of Fractions for 172/668, 746/942 is 2/314628.