How to Find GCF of 6869/642, 8019/3606?

GCF of 6869/642, 8019/3606

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 6869/642, 8019/3606 i.e 1/385842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6869/642, 8019/3606.

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 6869/642,8019/3606?

Given fractions are 6869/642,8019/3606

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 6869/642,8019/3606, numerators are 6869,8019

Denominators are 642,3606

The GCF of 6869,8019 is 1 .

LCM of 642,3606 is 385842.

The greatest common factor of 6869/642,8019/3606 = [GCF of 6869,8019]/[LCM of 642,3606]= 1/385842

Therefore, the GCF of 6869/642,8019/3606 is 1/385842.

Greatest Common Factor of 6869,8019

To find the highest common factor of 6869,8019, we have to find the factors of both numbers and list the highest common factor.

The factors of 6869 are 1, 6869

The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019

The HCF of 6869,8019 is 1.

Lets's calculate GCF of 6869,8019

Greatest Common Factor (GCF) of 6869,8019 By Common Division

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

Greatest Common Factor of 6869,8019 By Matching Biggest Common Factor Method

Now, list down the factors of 6869

1,6869

Now, list down the factors of 8019

1,3,9,11,27,33,81,99,243,297,729,891,2673,8019

Greatest Common Factor

We found the factors 6869,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 6869,8019 is 1.

Lets's calculate LCM of 642,3606

Lowest Common Multiple of 642,3606 using Common Division

2	642, 3606
3	321, 1803
	107, 601

∴ So the LCM of the given numbers is 2 x 3 x 107 x 601 = 385842

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/385842

Therefore, the GCF of Fractions 6869/642,8019/3606 is 1/385842

Least Common Multiple of 642,3606 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 642,3606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,3606) = 6

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

GCF(642,3606) x common factors =6 x 1 = 6

LCM(642,3606) = ( 642 × 3606 ) / 6

LCM(642,3606) = 2315052 / 6

LCM(642,3606) = 385842

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FAQs on GCF of Fractions of 6869/642, 8019/3606

1. What is the HCF of 6869,8019?

The HCF of 6869,8019 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 6869/642, 8019/3606?

Answer: GCF of Numerators as per given numbers 6869/642, 8019/3606 is

GCF of Numerators i.e. for 6869,8019 is 1

LCM of denominators i.e. for 642,3606 is 385842.

Thus, GCF of Fractions is 1/385842.Finally, GCF of Fractions for 6869/642, 8019/3606 is 1/385842.