How to Find GCF of 6896/947, 5819/5823?

GCF of 6896/947, 5819/5823

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 6896/947, 5819/5823 i.e 1/5514381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6896/947, 5819/5823.

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 6896/947,5819/5823?

Given fractions are 6896/947,5819/5823

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 6896/947,5819/5823, numerators are 6896,5819

Denominators are 947,5823

The GCF of 6896,5819 is 1 .

LCM of 947,5823 is 5514381.

The greatest common factor of 6896/947,5819/5823 = [GCF of 6896,5819]/[LCM of 947,5823]= 1/5514381

Therefore, the GCF of 6896/947,5819/5823 is 1/5514381.

Greatest Common Factor of 6896,5819

To find the highest common factor of 6896,5819, we have to find the factors of both numbers and list the highest common factor.

The factors of 6896 are 1, 2, 4, 8, 16, 431, 862, 1724, 3448, 6896

The factors of 5819 are 1, 11, 23, 253, 529, 5819

The HCF of 6896,5819 is 1.

Lets's calculate GCF of 6896,5819

Greatest Common Factor (GCF) of 6896,5819 By Common Division

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

Greatest Common Factor of 6896,5819 By Matching Biggest Common Factor Method

Now, list down the factors of 6896

1,2,4,8,16,431,862,1724,3448,6896

Now, list down the factors of 5819

1,11,23,253,529,5819

Greatest Common Factor

We found the factors 6896,5819 . The biggest common factor number is the GCF number.
So the greatest common factor 6896,5819 is 1.

Lets's calculate LCM of 947,5823

Lowest Common Multiple of 947,5823 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5514381

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5514381

Therefore, the GCF of Fractions 6896/947,5819/5823 is 1/5514381

Least Common Multiple of 947,5823 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 947,5823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,5823) = 1

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

GCF(947,5823) x common factors =1 x 1 = 1

LCM(947,5823) = ( 947 × 5823 ) / 1

LCM(947,5823) = 5514381 / 1

LCM(947,5823) = 5514381

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FAQs on GCF of Fractions of 6896/947, 5819/5823

1. What is the HCF of 6896,5819?

The HCF of 6896,5819 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 6896/947, 5819/5823?

Answer: GCF of Numerators as per given numbers 6896/947, 5819/5823 is

GCF of Numerators i.e. for 6896,5819 is 1

LCM of denominators i.e. for 947,5823 is 5514381.

Thus, GCF of Fractions is 1/5514381.Finally, GCF of Fractions for 6896/947, 5819/5823 is 1/5514381.