How to Find GCF of 6677/277, 6742/8029?

GCF of 6677/277, 6742/8029

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 6677/277, 6742/8029 i.e 1/2224033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6677/277, 6742/8029.

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 6677/277,6742/8029?

Given fractions are 6677/277,6742/8029

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 6677/277,6742/8029, numerators are 6677,6742

Denominators are 277,8029

The GCF of 6677,6742 is 1 .

LCM of 277,8029 is 2224033.

The greatest common factor of 6677/277,6742/8029 = [GCF of 6677,6742]/[LCM of 277,8029]= 1/2224033

Therefore, the GCF of 6677/277,6742/8029 is 1/2224033.

Greatest Common Factor of 6677,6742

To find the highest common factor of 6677,6742, we have to find the factors of both numbers and list the highest common factor.

The factors of 6677 are 1, 11, 607, 6677

The factors of 6742 are 1, 2, 3371, 6742

The HCF of 6677,6742 is 1.

Lets's calculate GCF of 6677,6742

Greatest Common Factor (GCF) of 6677,6742 By Common Division

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

Greatest Common Factor of 6677,6742 By Matching Biggest Common Factor Method

Now, list down the factors of 6677

1,11,607,6677

Now, list down the factors of 6742

1,2,3371,6742

Greatest Common Factor

We found the factors 6677,6742 . The biggest common factor number is the GCF number.
So the greatest common factor 6677,6742 is 1.

Lets's calculate LCM of 277,8029

Lowest Common Multiple of 277,8029 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2224033

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2224033

Therefore, the GCF of Fractions 6677/277,6742/8029 is 1/2224033

Least Common Multiple of 277,8029 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 277,8029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(277,8029) = 1

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

GCF(277,8029) x common factors =1 x 1 = 1

LCM(277,8029) = ( 277 × 8029 ) / 1

LCM(277,8029) = 2224033 / 1

LCM(277,8029) = 2224033

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6677/277, 6742/8029

1. What is the HCF of 6677,6742?

The HCF of 6677,6742 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 6677/277, 6742/8029?

Answer: GCF of Numerators as per given numbers 6677/277, 6742/8029 is

GCF of Numerators i.e. for 6677,6742 is 1

LCM of denominators i.e. for 277,8029 is 2224033.

Thus, GCF of Fractions is 1/2224033.Finally, GCF of Fractions for 6677/277, 6742/8029 is 1/2224033.