Greatest Common Factor of 553/420, 7692/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 553/420, 7692/830

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 553/420,7692/830

Given fractions are 553/420,7692/830

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 553,7692

Greatest Common Factor of Numerators i.e. GCF of 553,7692 is 1 .

LCM of Denominators means LCM of 420,830 as per the given fractions.

LCM of 420,830 is 34860 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 553,7692

GCF of Fractions 553/420,7692/830 is 1/34860

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

Greatest Common Factor of 553,7692 By Matching Biggest Common Factor Method

Greatest Common Factor of 553,7692 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 7692

List of positive integer factors of 7692 that divides 7692 without a remainder.

1,2,3,4,6,12,641,1282,1923,2564,3846,7692

Greatest Common Factor

We found the factors 553,7692 . The biggest common factor number is the GCF number.
So the greatest common factor 553,7692 is 1.

Lets's calculate LCM of 420,830

2 420, 830
5 210, 415
42, 83

∴ So the LCM of the given numbers is 2 x 5 x 42 x 83 = 34860

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34860

Therefore, the GCF of Fractions 553/420,7692/830 is 1/34860

Least Common Multiple of 420,830 with GCF Formula

Least Common Multiple of 420,830 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 420,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,830) = 10

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

GCF(420,830) x common factors =10 x 1 = 10

LCM(420,830) = ( 420 × 830 ) / 10

LCM(420,830) = 348600 / 10

LCM(420,830) = 34860


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 553/420, 7692/830

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 553/420, 7692/830?

Answer: GCF of Numerators as per given numbers 553/420, 7692/830 is

GCF of Numerators i.e. for 553,7692 is 1

LCM of denominators i.e. for 420,830 is 34860.

Thus, GCF of Fractions is 1/34860.Finally, GCF of Fractions for 553/420, 7692/830 is 1/34860.