How to Find GCF of 6928/289, 6119/4604?

GCF of 6928/289, 6119/4604

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 6928/289, 6119/4604 i.e 1/1330556 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6928/289, 6119/4604.

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 6928/289,6119/4604?

Given fractions are 6928/289,6119/4604

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 6928/289,6119/4604, numerators are 6928,6119

Denominators are 289,4604

The GCF of 6928,6119 is 1 .

LCM of 289,4604 is 1330556.

The greatest common factor of 6928/289,6119/4604 = [GCF of 6928,6119]/[LCM of 289,4604]= 1/1330556

Therefore, the GCF of 6928/289,6119/4604 is 1/1330556.

Greatest Common Factor of 6928,6119

To find the highest common factor of 6928,6119, we have to find the factors of both numbers and list the highest common factor.

The factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928

The factors of 6119 are 1, 29, 211, 6119

The HCF of 6928,6119 is 1.

Lets's calculate GCF of 6928,6119

Greatest Common Factor (GCF) of 6928,6119 By Common Division

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

Greatest Common Factor of 6928,6119 By Matching Biggest Common Factor Method

Now, list down the factors of 6928

1,2,4,8,16,433,866,1732,3464,6928

Now, list down the factors of 6119

1,29,211,6119

Greatest Common Factor

We found the factors 6928,6119 . The biggest common factor number is the GCF number.
So the greatest common factor 6928,6119 is 1.

Lets's calculate LCM of 289,4604

Lowest Common Multiple of 289,4604 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1330556

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1330556

Therefore, the GCF of Fractions 6928/289,6119/4604 is 1/1330556

Least Common Multiple of 289,4604 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 289,4604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,4604) = 1

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

GCF(289,4604) x common factors =1 x 1 = 1

LCM(289,4604) = ( 289 × 4604 ) / 1

LCM(289,4604) = 1330556 / 1

LCM(289,4604) = 1330556

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FAQs on GCF of Fractions of 6928/289, 6119/4604

1. What is the HCF of 6928,6119?

The HCF of 6928,6119 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 6928/289, 6119/4604?

Answer: GCF of Numerators as per given numbers 6928/289, 6119/4604 is

GCF of Numerators i.e. for 6928,6119 is 1

LCM of denominators i.e. for 289,4604 is 1330556.

Thus, GCF of Fractions is 1/1330556.Finally, GCF of Fractions for 6928/289, 6119/4604 is 1/1330556.