How to Find GCF of 6685/266, 2441/8129?

GCF of 6685/266, 2441/8129

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 6685/266, 2441/8129 i.e 1/2162314 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6685/266, 2441/8129.

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 6685/266,2441/8129?

Given fractions are 6685/266,2441/8129

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 6685/266,2441/8129, numerators are 6685,2441

Denominators are 266,8129

The GCF of 6685,2441 is 1 .

LCM of 266,8129 is 2162314.

The greatest common factor of 6685/266,2441/8129 = [GCF of 6685,2441]/[LCM of 266,8129]= 1/2162314

Therefore, the GCF of 6685/266,2441/8129 is 1/2162314.

Greatest Common Factor of 6685,2441

To find the highest common factor of 6685,2441, we have to find the factors of both numbers and list the highest common factor.

The factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685

The factors of 2441 are 1, 2441

The HCF of 6685,2441 is 1.

Lets's calculate GCF of 6685,2441

Greatest Common Factor (GCF) of 6685,2441 By Common Division

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

Greatest Common Factor of 6685,2441 By Matching Biggest Common Factor Method

Now, list down the factors of 6685

1,5,7,35,191,955,1337,6685

Now, list down the factors of 2441

1,2441

Greatest Common Factor

We found the factors 6685,2441 . The biggest common factor number is the GCF number.
So the greatest common factor 6685,2441 is 1.

Lets's calculate LCM of 266,8129

Lowest Common Multiple of 266,8129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2162314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2162314

Therefore, the GCF of Fractions 6685/266,2441/8129 is 1/2162314

Least Common Multiple of 266,8129 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 266,8129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,8129) = 1

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

GCF(266,8129) x common factors =1 x 1 = 1

LCM(266,8129) = ( 266 × 8129 ) / 1

LCM(266,8129) = 2162314 / 1

LCM(266,8129) = 2162314

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FAQs on GCF of Fractions of 6685/266, 2441/8129

1. What is the HCF of 6685,2441?

The HCF of 6685,2441 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 6685/266, 2441/8129?

Answer: GCF of Numerators as per given numbers 6685/266, 2441/8129 is

GCF of Numerators i.e. for 6685,2441 is 1

LCM of denominators i.e. for 266,8129 is 2162314.

Thus, GCF of Fractions is 1/2162314.Finally, GCF of Fractions for 6685/266, 2441/8129 is 1/2162314.