How to Find GCF of 1844/432, 9363/7568?

GCF of 1844/432, 9363/7568

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 1844/432, 9363/7568 i.e 1/204336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1844/432, 9363/7568.

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 1844/432,9363/7568?

Given fractions are 1844/432,9363/7568

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 1844/432,9363/7568, numerators are 1844,9363

Denominators are 432,7568

The GCF of 1844,9363 is 1 .

LCM of 432,7568 is 204336.

The greatest common factor of 1844/432,9363/7568 = [GCF of 1844,9363]/[LCM of 432,7568]= 1/204336

Therefore, the GCF of 1844/432,9363/7568 is 1/204336.

Greatest Common Factor of 1844,9363

To find the highest common factor of 1844,9363, we have to find the factors of both numbers and list the highest common factor.

The factors of 1844 are 1, 2, 4, 461, 922, 1844

The factors of 9363 are 1, 3, 3121, 9363

The HCF of 1844,9363 is 1.

Lets's calculate GCF of 1844,9363

Greatest Common Factor (GCF) of 1844,9363 By Common Division

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

Greatest Common Factor of 1844,9363 By Matching Biggest Common Factor Method

Now, list down the factors of 1844

1,2,4,461,922,1844

Now, list down the factors of 9363

1,3,3121,9363

Greatest Common Factor

We found the factors 1844,9363 . The biggest common factor number is the GCF number.
So the greatest common factor 1844,9363 is 1.

Lets's calculate LCM of 432,7568

Lowest Common Multiple of 432,7568 using Common Division

2	432, 7568
2	216, 3784
2	108, 1892
2	54, 946
	27, 473

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 27 x 473 = 204336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204336

Therefore, the GCF of Fractions 1844/432,9363/7568 is 1/204336

Least Common Multiple of 432,7568 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 432,7568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,7568) = 16

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

GCF(432,7568) x common factors =16 x 1 = 16

LCM(432,7568) = ( 432 × 7568 ) / 16

LCM(432,7568) = 3269376 / 16

LCM(432,7568) = 204336

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FAQs on GCF of Fractions of 1844/432, 9363/7568

1. What is the HCF of 1844,9363?

The HCF of 1844,9363 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 1844/432, 9363/7568?

Answer: GCF of Numerators as per given numbers 1844/432, 9363/7568 is

GCF of Numerators i.e. for 1844,9363 is 1

LCM of denominators i.e. for 432,7568 is 204336.

Thus, GCF of Fractions is 1/204336.Finally, GCF of Fractions for 1844/432, 9363/7568 is 1/204336.