Greatest Common Factor of 3819/854, 9510/4300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3819/854, 9510/4300

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 3819/854,9510/4300

Given fractions are 3819/854,9510/4300

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 3819,9510

Greatest Common Factor of Numerators i.e. GCF of 3819,9510 is 3 .

LCM of Denominators means LCM of 854,4300 as per the given fractions.

LCM of 854,4300 is 1836100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3819,9510

GCF of Fractions 3819/854,9510/4300 is 3/1836100

3 3819, 9510
1273, 3170

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3819,9510 By Matching Biggest Common Factor Method

Greatest Common Factor of 3819,9510 By Matching Biggest Common Factor Method

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1,3,19,57,67,201,1273,3819

Factors of 9510

List of positive integer factors of 9510 that divides 9510 without a remainder.

1,2,3,5,6,10,15,30,317,634,951,1585,1902,3170,4755,9510

Greatest Common Factor

We found the factors 3819,9510 . The biggest common factor number is the GCF number.
So the greatest common factor 3819,9510 is 3.

Lets's calculate LCM of 854,4300

2 854, 4300
427, 2150

∴ So the LCM of the given numbers is 2 x 427 x 2150 = 1836100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1836100

Therefore, the GCF of Fractions 3819/854,9510/4300 is 3/1836100

Least Common Multiple of 854,4300 with GCF Formula

Least Common Multiple of 854,4300 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 854,4300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(854,4300) = 2

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

GCF(854,4300) x common factors =2 x 1 = 2

LCM(854,4300) = ( 854 × 4300 ) / 2

LCM(854,4300) = 3672200 / 2

LCM(854,4300) = 1836100


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 3819/854, 9510/4300

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 3819/854, 9510/4300?

Answer: GCF of Numerators as per given numbers 3819/854, 9510/4300 is

GCF of Numerators i.e. for 3819,9510 is 3

LCM of denominators i.e. for 854,4300 is 1836100.

Thus, GCF of Fractions is 3/1836100.Finally, GCF of Fractions for 3819/854, 9510/4300 is 3/1836100.