Greatest Common Factor of 802/523, 611/454, 898/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 802/523, 611/454, 898/400

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 802/523,611/454,898/400

Given fractions are 802/523,611/454,898/400

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 802,611,898

Greatest Common Factor of Numerators i.e. GCF of 802,611,898 is 1 .

LCM of Denominators means LCM of 523,454,400 as per the given fractions.

LCM of 523,454,400 is 47488400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 802,611,898

GCF of Fractions 802/523,611/454,898/400 is 1/47488400

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

Greatest Common Factor of 802,611,898 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,611,898 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 898

List of positive integer factors of 898 that divides 898 without a remainder.

1,2,449,898

Greatest Common Factor

We found the factors 802,611,898 . The biggest common factor number is the GCF number.
So the greatest common factor 802,611,898 is 1.

Lets's calculate LCM of 523,454,400

2 523, 454, 400
523, 227, 200

∴ So the LCM of the given numbers is 2 x 523 x 227 x 200 = 47488400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47488400

Therefore, the GCF of Fractions 802/523,611/454,898/400 is 1/47488400

Least Common Multiple of 523,454,400 with GCF Formula

Least Common Multiple of 523,454,400 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 523,454,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,454,400) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(523,454,400) x common factors =1 x 2 = 2

LCM(523,454,400) = ( 523 × 454 × 400 ) / 2

LCM(523,454,400) = 94976800 / 2

LCM(523,454,400) = 47488400


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 802/523, 611/454, 898/400

1. 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.

2. What is the GCF of Fractions for 802/523, 611/454, 898/400?

Answer: GCF of Numerators as per given numbers 802/523, 611/454, 898/400 is

GCF of Numerators i.e. for 802,611,898 is 1

LCM of denominators i.e. for 523,454,400 is 47488400.

Thus, GCF of Fractions is 1/47488400.Finally, GCF of Fractions for 802/523, 611/454, 898/400 is 1/47488400.