How to Find GCF of 6959/823, 3075/5076?

GCF of 6959/823, 3075/5076

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 6959/823, 3075/5076 i.e 1/4177548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6959/823, 3075/5076.

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 6959/823,3075/5076?

Given fractions are 6959/823,3075/5076

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 6959/823,3075/5076, numerators are 6959,3075

Denominators are 823,5076

The GCF of 6959,3075 is 1 .

LCM of 823,5076 is 4177548.

The greatest common factor of 6959/823,3075/5076 = [GCF of 6959,3075]/[LCM of 823,5076]= 1/4177548

Therefore, the GCF of 6959/823,3075/5076 is 1/4177548.

Greatest Common Factor of 6959,3075

To find the highest common factor of 6959,3075, we have to find the factors of both numbers and list the highest common factor.

The factors of 6959 are 1, 6959

The factors of 3075 are 1, 3, 5, 15, 25, 41, 75, 123, 205, 615, 1025, 3075

The HCF of 6959,3075 is 1.

Lets's calculate GCF of 6959,3075

Greatest Common Factor (GCF) of 6959,3075 By Common Division

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

Greatest Common Factor of 6959,3075 By Matching Biggest Common Factor Method

Now, list down the factors of 6959

1,6959

Now, list down the factors of 3075

1,3,5,15,25,41,75,123,205,615,1025,3075

Greatest Common Factor

We found the factors 6959,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 6959,3075 is 1.

Lets's calculate LCM of 823,5076

Lowest Common Multiple of 823,5076 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4177548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4177548

Therefore, the GCF of Fractions 6959/823,3075/5076 is 1/4177548

Least Common Multiple of 823,5076 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 823,5076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,5076) = 1

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

GCF(823,5076) x common factors =1 x 1 = 1

LCM(823,5076) = ( 823 × 5076 ) / 1

LCM(823,5076) = 4177548 / 1

LCM(823,5076) = 4177548

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6959/823, 3075/5076

1. What is the HCF of 6959,3075?

The HCF of 6959,3075 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 6959/823, 3075/5076?

Answer: GCF of Numerators as per given numbers 6959/823, 3075/5076 is

GCF of Numerators i.e. for 6959,3075 is 1

LCM of denominators i.e. for 823,5076 is 4177548.

Thus, GCF of Fractions is 1/4177548.Finally, GCF of Fractions for 6959/823, 3075/5076 is 1/4177548.