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GCF of 6697/387, 6767/1441

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 6697/387, 6767/1441 i.e 1/557667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6697/387, 6767/1441.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6697/387,6767/1441?

Given fractions are 6697/387,6767/1441

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 6697/387,6767/1441, numerators are 6697,6767

Denominators are 387,1441

The GCF of 6697,6767 is 1 .

LCM of 387,1441 is 557667.

The greatest common factor of 6697/387,6767/1441 = [GCF of 6697,6767]/[LCM of 387,1441]= 1/557667

Therefore, the GCF of 6697/387,6767/1441 is 1/557667.

Greatest Common Factor of 6697,6767

To find the highest common factor of 6697,6767, we have to find the factors of both numbers and list the highest common factor.

The factors of 6697 are 1, 37, 181, 6697

The factors of 6767 are 1, 67, 101, 6767

The HCF of 6697,6767 is 1.

Lets's calculate GCF of 6697,6767

Greatest Common Factor (GCF) of 6697,6767 By Common Division

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

Greatest Common Factor of 6697,6767 By Matching Biggest Common Factor Method

Greatest Common Factor of 6697,6767 By Matching Biggest Common Factor Method

Now, list down the factors of 6697

:

1,37,181,6697

Now, list down the factors of 6767

:

1,67,101,6767

Greatest Common Factor

We found the factors 6697,6767 . The biggest common factor number is the GCF number.
So the greatest common factor 6697,6767 is 1.

Lets's calculate LCM of 387,1441

Lowest Common Multiple of 387,1441 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 557667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/557667

Therefore, the GCF of Fractions 6697/387,6767/1441 is 1/557667

Least Common Multiple of 387,1441 with GCF Formula

Least Common Multiple of 387,1441 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 387,1441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,1441) = 1

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

GCF(387,1441) x common factors =1 x 1 = 1

LCM(387,1441) = ( 387 × 1441 ) / 1

LCM(387,1441) = 557667 / 1

LCM(387,1441) = 557667


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FAQs on GCF of Fractions of 6697/387, 6767/1441

1. What is the HCF of 6697,6767?

The HCF of 6697,6767 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 6697/387, 6767/1441?

Answer: GCF of Numerators as per given numbers 6697/387, 6767/1441 is

GCF of Numerators i.e. for 6697,6767 is 1

LCM of denominators i.e. for 387,1441 is 557667.

Thus, GCF of Fractions is 1/557667.Finally, GCF of Fractions for 6697/387, 6767/1441 is 1/557667.