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 409/80, 894/952

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 409/80, 894/952 i.e 1/9520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 409/80, 894/952.

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 409/80,894/952?

Given fractions are 409/80,894/952

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 409/80,894/952, numerators are 409,894

Denominators are 80,952

The GCF of 409,894 is 1 .

LCM of 80,952 is 9520.

The greatest common factor of 409/80,894/952 = [GCF of 409,894]/[LCM of 80,952]= 1/9520

Therefore, the GCF of 409/80,894/952 is 1/9520.

Greatest Common Factor of 409,894

To find the highest common factor of 409,894, we have to find the factors of both numbers and list the highest common factor.

The factors of 409 are 1, 409

The factors of 894 are 1, 2, 3, 6, 149, 298, 447, 894

The HCF of 409,894 is 1.

Lets's calculate GCF of 409,894

Greatest Common Factor (GCF) of 409,894 By Common Division

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

Greatest Common Factor of 409,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 409,894 By Matching Biggest Common Factor Method

Now, list down the factors of 409

:

1,409

Now, list down the factors of 894

:

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 409,894 . The biggest common factor number is the GCF number.
So the greatest common factor 409,894 is 1.

Lets's calculate LCM of 80,952

Lowest Common Multiple of 80,952 using Common Division

2 80, 952
2 40, 476
2 20, 238
10, 119

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 119 = 9520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9520

Therefore, the GCF of Fractions 409/80,894/952 is 1/9520

Least Common Multiple of 80,952 with GCF Formula

Least Common Multiple of 80,952 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 80,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,952) = 8

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

GCF(80,952) x common factors =8 x 1 = 8

LCM(80,952) = ( 80 × 952 ) / 8

LCM(80,952) = 76160 / 8

LCM(80,952) = 9520


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 409/80, 894/952

1. What is the HCF of 409,894?

The HCF of 409,894 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 409/80, 894/952?

Answer: GCF of Numerators as per given numbers 409/80, 894/952 is

GCF of Numerators i.e. for 409,894 is 1

LCM of denominators i.e. for 80,952 is 9520.

Thus, GCF of Fractions is 1/9520.Finally, GCF of Fractions for 409/80, 894/952 is 1/9520.