How to Find GCF of 9003/172, 4784/7778?

GCF of 9003/172, 4784/7778

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 9003/172, 4784/7778 i.e 1/668908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9003/172, 4784/7778.

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 9003/172,4784/7778?

Given fractions are 9003/172,4784/7778

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 9003/172,4784/7778, numerators are 9003,4784

Denominators are 172,7778

The GCF of 9003,4784 is 1 .

LCM of 172,7778 is 668908.

The greatest common factor of 9003/172,4784/7778 = [GCF of 9003,4784]/[LCM of 172,7778]= 1/668908

Therefore, the GCF of 9003/172,4784/7778 is 1/668908.

Greatest Common Factor of 9003,4784

To find the highest common factor of 9003,4784, we have to find the factors of both numbers and list the highest common factor.

The factors of 9003 are 1, 3, 3001, 9003

The factors of 4784 are 1, 2, 4, 8, 13, 16, 23, 26, 46, 52, 92, 104, 184, 208, 299, 368, 598, 1196, 2392, 4784

The HCF of 9003,4784 is 1.

Lets's calculate GCF of 9003,4784

Greatest Common Factor (GCF) of 9003,4784 By Common Division

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

Greatest Common Factor of 9003,4784 By Matching Biggest Common Factor Method

Now, list down the factors of 9003

1,3,3001,9003

Now, list down the factors of 4784

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Greatest Common Factor

We found the factors 9003,4784 . The biggest common factor number is the GCF number.
So the greatest common factor 9003,4784 is 1.

Lets's calculate LCM of 172,7778

Lowest Common Multiple of 172,7778 using Common Division

2	172, 7778
	86, 3889

∴ So the LCM of the given numbers is 2 x 86 x 3889 = 668908

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/668908

Therefore, the GCF of Fractions 9003/172,4784/7778 is 1/668908

Least Common Multiple of 172,7778 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 172,7778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,7778) = 2

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

GCF(172,7778) x common factors =2 x 1 = 2

LCM(172,7778) = ( 172 × 7778 ) / 2

LCM(172,7778) = 1337816 / 2

LCM(172,7778) = 668908

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FAQs on GCF of Fractions of 9003/172, 4784/7778

1. What is the HCF of 9003,4784?

The HCF of 9003,4784 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 9003/172, 4784/7778?

Answer: GCF of Numerators as per given numbers 9003/172, 4784/7778 is

GCF of Numerators i.e. for 9003,4784 is 1

LCM of denominators i.e. for 172,7778 is 668908.

Thus, GCF of Fractions is 1/668908.Finally, GCF of Fractions for 9003/172, 4784/7778 is 1/668908.