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 178/46, 416/8149

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 178/46, 416/8149 i.e 2/374854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 178/46, 416/8149.

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 178/46,416/8149?

Given fractions are 178/46,416/8149

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 178/46,416/8149, numerators are 178,416

Denominators are 46,8149

The GCF of 178,416 is 2 .

LCM of 46,8149 is 374854.

The greatest common factor of 178/46,416/8149 = [GCF of 178,416]/[LCM of 46,8149]= 2/374854

Therefore, the GCF of 178/46,416/8149 is 2/374854.

Greatest Common Factor of 178,416

To find the highest common factor of 178,416, we have to find the factors of both numbers and list the highest common factor.

The factors of 178 are 1, 2, 89, 178

The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

The HCF of 178,416 is 2.

Lets's calculate GCF of 178,416

Greatest Common Factor (GCF) of 178,416 By Common Division

2 178, 416
89, 208

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

Greatest Common Factor of 178,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 178,416 By Matching Biggest Common Factor Method

Now, list down the factors of 178

:

1,2,89,178

Now, list down the factors of 416

:

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 178,416 . The biggest common factor number is the GCF number.
So the greatest common factor 178,416 is 2.

Lets's calculate LCM of 46,8149

Lowest Common Multiple of 46,8149 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 374854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/374854

Therefore, the GCF of Fractions 178/46,416/8149 is 2/374854

Least Common Multiple of 46,8149 with GCF Formula

Least Common Multiple of 46,8149 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 46,8149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,8149) = 1

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

GCF(46,8149) x common factors =1 x 1 = 1

LCM(46,8149) = ( 46 × 8149 ) / 1

LCM(46,8149) = 374854 / 1

LCM(46,8149) = 374854


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 178/46, 416/8149

1. What is the HCF of 178,416?

The HCF of 178,416 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 178/46, 416/8149?

Answer: GCF of Numerators as per given numbers 178/46, 416/8149 is

GCF of Numerators i.e. for 178,416 is 2

LCM of denominators i.e. for 46,8149 is 374854.

Thus, GCF of Fractions is 2/374854.Finally, GCF of Fractions for 178/46, 416/8149 is 2/374854.