How to Find GCF of 6800/309, 3541/2200?

GCF of 6800/309, 3541/2200

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 6800/309, 3541/2200 i.e 1/679800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6800/309, 3541/2200.

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 6800/309,3541/2200?

Given fractions are 6800/309,3541/2200

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 6800/309,3541/2200, numerators are 6800,3541

Denominators are 309,2200

The GCF of 6800,3541 is 1 .

LCM of 309,2200 is 679800.

The greatest common factor of 6800/309,3541/2200 = [GCF of 6800,3541]/[LCM of 309,2200]= 1/679800

Therefore, the GCF of 6800/309,3541/2200 is 1/679800.

Greatest Common Factor of 6800,3541

To find the highest common factor of 6800,3541, we have to find the factors of both numbers and list the highest common factor.

The factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800

The factors of 3541 are 1, 3541

The HCF of 6800,3541 is 1.

Lets's calculate GCF of 6800,3541

Greatest Common Factor (GCF) of 6800,3541 By Common Division

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

Greatest Common Factor of 6800,3541 By Matching Biggest Common Factor Method

Now, list down the factors of 6800

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Now, list down the factors of 3541

1,3541

Greatest Common Factor

We found the factors 6800,3541 . The biggest common factor number is the GCF number.
So the greatest common factor 6800,3541 is 1.

Lets's calculate LCM of 309,2200

Lowest Common Multiple of 309,2200 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 679800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/679800

Therefore, the GCF of Fractions 6800/309,3541/2200 is 1/679800

Least Common Multiple of 309,2200 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 309,2200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,2200) = 1

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

GCF(309,2200) x common factors =1 x 1 = 1

LCM(309,2200) = ( 309 × 2200 ) / 1

LCM(309,2200) = 679800 / 1

LCM(309,2200) = 679800

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FAQs on GCF of Fractions of 6800/309, 3541/2200

1. What is the HCF of 6800,3541?

The HCF of 6800,3541 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 6800/309, 3541/2200?

Answer: GCF of Numerators as per given numbers 6800/309, 3541/2200 is

GCF of Numerators i.e. for 6800,3541 is 1

LCM of denominators i.e. for 309,2200 is 679800.

Thus, GCF of Fractions is 1/679800.Finally, GCF of Fractions for 6800/309, 3541/2200 is 1/679800.