How to Find GCF of 7383/160, 3793/359?

GCF of 7383/160, 3793/359

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 7383/160, 3793/359 i.e 1/57440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7383/160, 3793/359.

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 7383/160,3793/359?

Given fractions are 7383/160,3793/359

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 7383/160,3793/359, numerators are 7383,3793

Denominators are 160,359

The GCF of 7383,3793 is 1 .

LCM of 160,359 is 57440.

The greatest common factor of 7383/160,3793/359 = [GCF of 7383,3793]/[LCM of 160,359]= 1/57440

Therefore, the GCF of 7383/160,3793/359 is 1/57440.

Greatest Common Factor of 7383,3793

To find the highest common factor of 7383,3793, we have to find the factors of both numbers and list the highest common factor.

The factors of 7383 are 1, 3, 23, 69, 107, 321, 2461, 7383

The factors of 3793 are 1, 3793

The HCF of 7383,3793 is 1.

Lets's calculate GCF of 7383,3793

Greatest Common Factor (GCF) of 7383,3793 By Common Division

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

Greatest Common Factor of 7383,3793 By Matching Biggest Common Factor Method

Now, list down the factors of 7383

1,3,23,69,107,321,2461,7383

Now, list down the factors of 3793

1,3793

Greatest Common Factor

We found the factors 7383,3793 . The biggest common factor number is the GCF number.
So the greatest common factor 7383,3793 is 1.

Lets's calculate LCM of 160,359

Lowest Common Multiple of 160,359 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 57440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57440

Therefore, the GCF of Fractions 7383/160,3793/359 is 1/57440

Least Common Multiple of 160,359 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 160,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,359) = 1

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

GCF(160,359) x common factors =1 x 1 = 1

LCM(160,359) = ( 160 × 359 ) / 1

LCM(160,359) = 57440 / 1

LCM(160,359) = 57440

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FAQs on GCF of Fractions of 7383/160, 3793/359

1. What is the HCF of 7383,3793?

The HCF of 7383,3793 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 7383/160, 3793/359?

Answer: GCF of Numerators as per given numbers 7383/160, 3793/359 is

GCF of Numerators i.e. for 7383,3793 is 1

LCM of denominators i.e. for 160,359 is 57440.

Thus, GCF of Fractions is 1/57440.Finally, GCF of Fractions for 7383/160, 3793/359 is 1/57440.