How to Find GCF of 2363/112, 9209/3000?

GCF of 2363/112, 9209/3000

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 2363/112, 9209/3000 i.e 1/42000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2363/112, 9209/3000.

Enter two or more fractions separated by "commas"

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

What is the GCF of 2363/112,9209/3000?

Given fractions are 2363/112,9209/3000

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 2363/112,9209/3000, numerators are 2363,9209

Denominators are 112,3000

The GCF of 2363,9209 is 1 .

LCM of 112,3000 is 42000.

The greatest common factor of 2363/112,9209/3000 = [GCF of 2363,9209]/[LCM of 112,3000]= 1/42000

Therefore, the GCF of 2363/112,9209/3000 is 1/42000.

Greatest Common Factor of 2363,9209

To find the highest common factor of 2363,9209, we have to find the factors of both numbers and list the highest common factor.

The factors of 2363 are 1, 17, 139, 2363

The factors of 9209 are 1, 9209

The HCF of 2363,9209 is 1.

Lets's calculate GCF of 2363,9209

Greatest Common Factor (GCF) of 2363,9209 By Common Division

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

Greatest Common Factor of 2363,9209 By Matching Biggest Common Factor Method

Now, list down the factors of 2363

1,17,139,2363

Now, list down the factors of 9209

1,9209

Greatest Common Factor

We found the factors 2363,9209 . The biggest common factor number is the GCF number.
So the greatest common factor 2363,9209 is 1.

Lets's calculate LCM of 112,3000

Lowest Common Multiple of 112,3000 using Common Division

2	112, 3000
2	56, 1500
2	28, 750
	14, 375

∴ So the LCM of the given numbers is 2 x 2 x 2 x 14 x 375 = 42000

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42000

Therefore, the GCF of Fractions 2363/112,9209/3000 is 1/42000

Least Common Multiple of 112,3000 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 112,3000 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,3000) = 8

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

GCF(112,3000) x common factors =8 x 1 = 8

LCM(112,3000) = ( 112 × 3000 ) / 8

LCM(112,3000) = 336000 / 8

LCM(112,3000) = 42000

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FAQs on GCF of Fractions of 2363/112, 9209/3000

1. What is the HCF of 2363,9209?

The HCF of 2363,9209 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 2363/112, 9209/3000?

Answer: GCF of Numerators as per given numbers 2363/112, 9209/3000 is

GCF of Numerators i.e. for 2363,9209 is 1

LCM of denominators i.e. for 112,3000 is 42000.

Thus, GCF of Fractions is 1/42000.Finally, GCF of Fractions for 2363/112, 9209/3000 is 1/42000.