How to Find GCF of 7424/154, 9893/3744?

GCF of 7424/154, 9893/3744

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 7424/154, 9893/3744 i.e 1/288288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7424/154, 9893/3744.

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 7424/154,9893/3744?

Given fractions are 7424/154,9893/3744

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 7424/154,9893/3744, numerators are 7424,9893

Denominators are 154,3744

The GCF of 7424,9893 is 1 .

LCM of 154,3744 is 288288.

The greatest common factor of 7424/154,9893/3744 = [GCF of 7424,9893]/[LCM of 154,3744]= 1/288288

Therefore, the GCF of 7424/154,9893/3744 is 1/288288.

Greatest Common Factor of 7424,9893

To find the highest common factor of 7424,9893, we have to find the factors of both numbers and list the highest common factor.

The factors of 7424 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424

The factors of 9893 are 1, 13, 761, 9893

The HCF of 7424,9893 is 1.

Lets's calculate GCF of 7424,9893

Greatest Common Factor (GCF) of 7424,9893 By Common Division

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

Greatest Common Factor of 7424,9893 By Matching Biggest Common Factor Method

Now, list down the factors of 7424

1,2,4,8,16,29,32,58,64,116,128,232,256,464,928,1856,3712,7424

Now, list down the factors of 9893

1,13,761,9893

Greatest Common Factor

We found the factors 7424,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 7424,9893 is 1.

Lets's calculate LCM of 154,3744

Lowest Common Multiple of 154,3744 using Common Division

2	154, 3744
	77, 1872

∴ So the LCM of the given numbers is 2 x 77 x 1872 = 288288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/288288

Therefore, the GCF of Fractions 7424/154,9893/3744 is 1/288288

Least Common Multiple of 154,3744 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 154,3744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,3744) = 2

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

GCF(154,3744) x common factors =2 x 1 = 2

LCM(154,3744) = ( 154 × 3744 ) / 2

LCM(154,3744) = 576576 / 2

LCM(154,3744) = 288288

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FAQs on GCF of Fractions of 7424/154, 9893/3744

1. What is the HCF of 7424,9893?

The HCF of 7424,9893 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 7424/154, 9893/3744?

Answer: GCF of Numerators as per given numbers 7424/154, 9893/3744 is

GCF of Numerators i.e. for 7424,9893 is 1

LCM of denominators i.e. for 154,3744 is 288288.

Thus, GCF of Fractions is 1/288288.Finally, GCF of Fractions for 7424/154, 9893/3744 is 1/288288.