Greatest Common Factor of 553/614, 6345/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 553/614, 6345/804

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 553/614,6345/804

Given fractions are 553/614,6345/804

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 553,6345

Greatest Common Factor of Numerators i.e. GCF of 553,6345 is 1 .

LCM of Denominators means LCM of 614,804 as per the given fractions.

LCM of 614,804 is 246828 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 553,6345

GCF of Fractions 553/614,6345/804 is 1/246828

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

Greatest Common Factor of 553,6345 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,6345 By Matching Biggest Common Factor Method

Factors of 553

List of positive integer factors of 553 that divides 553 without a remainder.

1,7,79,553

Factors of 6345

List of positive integer factors of 6345 that divides 6345 without a remainder.

1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345

Greatest Common Factor

We found the factors 553,6345 . The biggest common factor number is the GCF number.
So the greatest common factor 553,6345 is 1.

Lets's calculate LCM of 614,804

2 614, 804
307, 402

∴ So the LCM of the given numbers is 2 x 307 x 402 = 246828

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246828

Therefore, the GCF of Fractions 553/614,6345/804 is 1/246828

Least Common Multiple of 614,804 with GCF Formula

Least Common Multiple of 614,804 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 614,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(614,804) = 2

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

GCF(614,804) x common factors =2 x 1 = 2

LCM(614,804) = ( 614 × 804 ) / 2

LCM(614,804) = 493656 / 2

LCM(614,804) = 246828


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 553/614, 6345/804

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 553/614, 6345/804?

Answer: GCF of Numerators as per given numbers 553/614, 6345/804 is

GCF of Numerators i.e. for 553,6345 is 1

LCM of denominators i.e. for 614,804 is 246828.

Thus, GCF of Fractions is 1/246828.Finally, GCF of Fractions for 553/614, 6345/804 is 1/246828.