How to Find GCF of 7075/663, 6839/4129?

GCF of 7075/663, 6839/4129

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 7075/663, 6839/4129 i.e 1/2737527 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7075/663, 6839/4129.

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 7075/663,6839/4129?

Given fractions are 7075/663,6839/4129

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 7075/663,6839/4129, numerators are 7075,6839

Denominators are 663,4129

The GCF of 7075,6839 is 1 .

LCM of 663,4129 is 2737527.

The greatest common factor of 7075/663,6839/4129 = [GCF of 7075,6839]/[LCM of 663,4129]= 1/2737527

Therefore, the GCF of 7075/663,6839/4129 is 1/2737527.

Greatest Common Factor of 7075,6839

To find the highest common factor of 7075,6839, we have to find the factors of both numbers and list the highest common factor.

The factors of 7075 are 1, 5, 25, 283, 1415, 7075

The factors of 6839 are 1, 7, 977, 6839

The HCF of 7075,6839 is 1.

Lets's calculate GCF of 7075,6839

Greatest Common Factor (GCF) of 7075,6839 By Common Division

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

Greatest Common Factor of 7075,6839 By Matching Biggest Common Factor Method

Now, list down the factors of 7075

1,5,25,283,1415,7075

Now, list down the factors of 6839

1,7,977,6839

Greatest Common Factor

We found the factors 7075,6839 . The biggest common factor number is the GCF number.
So the greatest common factor 7075,6839 is 1.

Lets's calculate LCM of 663,4129

Lowest Common Multiple of 663,4129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2737527

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2737527

Therefore, the GCF of Fractions 7075/663,6839/4129 is 1/2737527

Least Common Multiple of 663,4129 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 663,4129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,4129) = 1

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

GCF(663,4129) x common factors =1 x 1 = 1

LCM(663,4129) = ( 663 × 4129 ) / 1

LCM(663,4129) = 2737527 / 1

LCM(663,4129) = 2737527

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FAQs on GCF of Fractions of 7075/663, 6839/4129

1. What is the HCF of 7075,6839?

The HCF of 7075,6839 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 7075/663, 6839/4129?

Answer: GCF of Numerators as per given numbers 7075/663, 6839/4129 is

GCF of Numerators i.e. for 7075,6839 is 1

LCM of denominators i.e. for 663,4129 is 2737527.

Thus, GCF of Fractions is 1/2737527.Finally, GCF of Fractions for 7075/663, 6839/4129 is 1/2737527.