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 808/60, 697/832

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 808/60, 697/832 i.e 1/12480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 808/60, 697/832.

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 808/60,697/832?

Given fractions are 808/60,697/832

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 808/60,697/832, numerators are 808,697

Denominators are 60,832

The GCF of 808,697 is 1 .

LCM of 60,832 is 12480.

The greatest common factor of 808/60,697/832 = [GCF of 808,697]/[LCM of 60,832]= 1/12480

Therefore, the GCF of 808/60,697/832 is 1/12480.

Greatest Common Factor of 808,697

To find the highest common factor of 808,697, we have to find the factors of both numbers and list the highest common factor.

The factors of 808 are 1, 2, 4, 8, 101, 202, 404, 808

The factors of 697 are 1, 17, 41, 697

The HCF of 808,697 is 1.

Lets's calculate GCF of 808,697

Greatest Common Factor (GCF) of 808,697 By Common Division

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

Greatest Common Factor of 808,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,697 By Matching Biggest Common Factor Method

Now, list down the factors of 808

:

1,2,4,8,101,202,404,808

Now, list down the factors of 697

:

1,17,41,697

Greatest Common Factor

We found the factors 808,697 . The biggest common factor number is the GCF number.
So the greatest common factor 808,697 is 1.

Lets's calculate LCM of 60,832

Lowest Common Multiple of 60,832 using Common Division

2 60, 832
2 30, 416
15, 208

∴ So the LCM of the given numbers is 2 x 2 x 15 x 208 = 12480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12480

Therefore, the GCF of Fractions 808/60,697/832 is 1/12480

Least Common Multiple of 60,832 with GCF Formula

Least Common Multiple of 60,832 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 60,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,832) = 4

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

GCF(60,832) x common factors =4 x 1 = 4

LCM(60,832) = ( 60 × 832 ) / 4

LCM(60,832) = 49920 / 4

LCM(60,832) = 12480


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 808/60, 697/832

1. What is the HCF of 808,697?

The HCF of 808,697 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 808/60, 697/832?

Answer: GCF of Numerators as per given numbers 808/60, 697/832 is

GCF of Numerators i.e. for 808,697 is 1

LCM of denominators i.e. for 60,832 is 12480.

Thus, GCF of Fractions is 1/12480.Finally, GCF of Fractions for 808/60, 697/832 is 1/12480.