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 802/422, 8489/622

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 802/422, 8489/622 i.e 1/131242 easily. The following is the detailed procedure to determine the greatest common factor of fractions 802/422, 8489/622.

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 802/422,8489/622?

Given fractions are 802/422,8489/622

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 802/422,8489/622, numerators are 802,8489

Denominators are 422,622

The GCF of 802,8489 is 1 .

LCM of 422,622 is 131242.

The greatest common factor of 802/422,8489/622 = [GCF of 802,8489]/[LCM of 422,622]= 1/131242

Therefore, the GCF of 802/422,8489/622 is 1/131242.

Greatest Common Factor of 802,8489

To find the highest common factor of 802,8489, we have to find the factors of both numbers and list the highest common factor.

The factors of 802 are 1, 2, 401, 802

The factors of 8489 are 1, 13, 653, 8489

The HCF of 802,8489 is 1.

Lets's calculate GCF of 802,8489

Greatest Common Factor (GCF) of 802,8489 By Common Division

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

Greatest Common Factor of 802,8489 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,8489 By Matching Biggest Common Factor Method

Now, list down the factors of 802

:

1,2,401,802

Now, list down the factors of 8489

:

1,13,653,8489

Greatest Common Factor

We found the factors 802,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 802,8489 is 1.

Lets's calculate LCM of 422,622

Lowest Common Multiple of 422,622 using Common Division

2 422, 622
211, 311

∴ So the LCM of the given numbers is 2 x 211 x 311 = 131242

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131242

Therefore, the GCF of Fractions 802/422,8489/622 is 1/131242

Least Common Multiple of 422,622 with GCF Formula

Least Common Multiple of 422,622 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 422,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,622) = 2

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

GCF(422,622) x common factors =2 x 1 = 2

LCM(422,622) = ( 422 × 622 ) / 2

LCM(422,622) = 262484 / 2

LCM(422,622) = 131242


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 802/422, 8489/622

1. What is the HCF of 802,8489?

The HCF of 802,8489 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 802/422, 8489/622?

Answer: GCF of Numerators as per given numbers 802/422, 8489/622 is

GCF of Numerators i.e. for 802,8489 is 1

LCM of denominators i.e. for 422,622 is 131242.

Thus, GCF of Fractions is 1/131242.Finally, GCF of Fractions for 802/422, 8489/622 is 1/131242.