How to Find GCF of 4738/688, 1193/2803?

GCF of 4738/688, 1193/2803

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 4738/688, 1193/2803 i.e 1/1928464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4738/688, 1193/2803.

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 4738/688,1193/2803?

Given fractions are 4738/688,1193/2803

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 4738/688,1193/2803, numerators are 4738,1193

Denominators are 688,2803

The GCF of 4738,1193 is 1 .

LCM of 688,2803 is 1928464.

The greatest common factor of 4738/688,1193/2803 = [GCF of 4738,1193]/[LCM of 688,2803]= 1/1928464

Therefore, the GCF of 4738/688,1193/2803 is 1/1928464.

Greatest Common Factor of 4738,1193

To find the highest common factor of 4738,1193, we have to find the factors of both numbers and list the highest common factor.

The factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738

The factors of 1193 are 1, 1193

The HCF of 4738,1193 is 1.

Lets's calculate GCF of 4738,1193

Greatest Common Factor (GCF) of 4738,1193 By Common Division

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

Greatest Common Factor of 4738,1193 By Matching Biggest Common Factor Method

Now, list down the factors of 4738

1,2,23,46,103,206,2369,4738

Now, list down the factors of 1193

1,1193

Greatest Common Factor

We found the factors 4738,1193 . The biggest common factor number is the GCF number.
So the greatest common factor 4738,1193 is 1.

Lets's calculate LCM of 688,2803

Lowest Common Multiple of 688,2803 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1928464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1928464

Therefore, the GCF of Fractions 4738/688,1193/2803 is 1/1928464

Least Common Multiple of 688,2803 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 688,2803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(688,2803) = 1

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

GCF(688,2803) x common factors =1 x 1 = 1

LCM(688,2803) = ( 688 × 2803 ) / 1

LCM(688,2803) = 1928464 / 1

LCM(688,2803) = 1928464

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FAQs on GCF of Fractions of 4738/688, 1193/2803

1. What is the HCF of 4738,1193?

The HCF of 4738,1193 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 4738/688, 1193/2803?

Answer: GCF of Numerators as per given numbers 4738/688, 1193/2803 is

GCF of Numerators i.e. for 4738,1193 is 1

LCM of denominators i.e. for 688,2803 is 1928464.

Thus, GCF of Fractions is 1/1928464.Finally, GCF of Fractions for 4738/688, 1193/2803 is 1/1928464.