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 148/994, 406/176

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 148/994, 406/176 i.e 2/87472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 148/994, 406/176.

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 148/994,406/176?

Given fractions are 148/994,406/176

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 148/994,406/176, numerators are 148,406

Denominators are 994,176

The GCF of 148,406 is 2 .

LCM of 994,176 is 87472.

The greatest common factor of 148/994,406/176 = [GCF of 148,406]/[LCM of 994,176]= 2/87472

Therefore, the GCF of 148/994,406/176 is 2/87472.

Greatest Common Factor of 148,406

To find the highest common factor of 148,406, we have to find the factors of both numbers and list the highest common factor.

The factors of 148 are 1, 2, 4, 37, 74, 148

The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406

The HCF of 148,406 is 2.

Lets's calculate GCF of 148,406

Greatest Common Factor (GCF) of 148,406 By Common Division

2 148, 406
74, 203

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

Greatest Common Factor of 148,406 By Matching Biggest Common Factor Method

Greatest Common Factor of 148,406 By Matching Biggest Common Factor Method

Now, list down the factors of 148

:

1,2,4,37,74,148

Now, list down the factors of 406

:

1,2,7,14,29,58,203,406

Greatest Common Factor

We found the factors 148,406 . The biggest common factor number is the GCF number.
So the greatest common factor 148,406 is 2.

Lets's calculate LCM of 994,176

Lowest Common Multiple of 994,176 using Common Division

2 994, 176
497, 88

∴ So the LCM of the given numbers is 2 x 497 x 88 = 87472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87472

Therefore, the GCF of Fractions 148/994,406/176 is 2/87472

Least Common Multiple of 994,176 with GCF Formula

Least Common Multiple of 994,176 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 994,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,176) = 2

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

GCF(994,176) x common factors =2 x 1 = 2

LCM(994,176) = ( 994 × 176 ) / 2

LCM(994,176) = 174944 / 2

LCM(994,176) = 87472


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 148/994, 406/176

1. What is the HCF of 148,406?

The HCF of 148,406 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 148/994, 406/176?

Answer: GCF of Numerators as per given numbers 148/994, 406/176 is

GCF of Numerators i.e. for 148,406 is 2

LCM of denominators i.e. for 994,176 is 87472.

Thus, GCF of Fractions is 2/87472.Finally, GCF of Fractions for 148/994, 406/176 is 2/87472.