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 208/724, 401/416

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 208/724, 401/416 i.e 1/75296 easily. The following is the detailed procedure to determine the greatest common factor of fractions 208/724, 401/416.

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 208/724,401/416?

Given fractions are 208/724,401/416

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 208/724,401/416, numerators are 208,401

Denominators are 724,416

The GCF of 208,401 is 1 .

LCM of 724,416 is 75296.

The greatest common factor of 208/724,401/416 = [GCF of 208,401]/[LCM of 724,416]= 1/75296

Therefore, the GCF of 208/724,401/416 is 1/75296.

Greatest Common Factor of 208,401

To find the highest common factor of 208,401, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 401 are 1, 401

The HCF of 208,401 is 1.

Lets's calculate GCF of 208,401

Greatest Common Factor (GCF) of 208,401 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 208,401 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,401 By Matching Biggest Common Factor Method

Now, list down the factors of 208

:

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

Now, list down the factors of 401

:

1,401

Greatest Common Factor

We found the factors 208,401 . The biggest common factor number is the GCF number.
So the greatest common factor 208,401 is 1.

Lets's calculate LCM of 724,416

Lowest Common Multiple of 724,416 using Common Division

2 724, 416
2 362, 208
181, 104

∴ So the LCM of the given numbers is 2 x 2 x 181 x 104 = 75296

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75296

Therefore, the GCF of Fractions 208/724,401/416 is 1/75296

Least Common Multiple of 724,416 with GCF Formula

Least Common Multiple of 724,416 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 724,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(724,416) = 4

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

GCF(724,416) x common factors =4 x 1 = 4

LCM(724,416) = ( 724 × 416 ) / 4

LCM(724,416) = 301184 / 4

LCM(724,416) = 75296


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 208/724, 401/416

1. What is the HCF of 208,401?

The HCF of 208,401 is 1

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 208/724, 401/416?

Answer: GCF of Numerators as per given numbers 208/724, 401/416 is

GCF of Numerators i.e. for 208,401 is 1

LCM of denominators i.e. for 724,416 is 75296.

Thus, GCF of Fractions is 1/75296.Finally, GCF of Fractions for 208/724, 401/416 is 1/75296.