How to Find GCF of 6869/293, 1840/8540?

GCF of 6869/293, 1840/8540

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 6869/293, 1840/8540 i.e 1/2502220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6869/293, 1840/8540.

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 6869/293,1840/8540?

Given fractions are 6869/293,1840/8540

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 6869/293,1840/8540, numerators are 6869,1840

Denominators are 293,8540

The GCF of 6869,1840 is 1 .

LCM of 293,8540 is 2502220.

The greatest common factor of 6869/293,1840/8540 = [GCF of 6869,1840]/[LCM of 293,8540]= 1/2502220

Therefore, the GCF of 6869/293,1840/8540 is 1/2502220.

Greatest Common Factor of 6869,1840

To find the highest common factor of 6869,1840, 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 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840

The HCF of 6869,1840 is 1.

Lets's calculate GCF of 6869,1840

Greatest Common Factor (GCF) of 6869,1840 By Common Division

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

Greatest Common Factor of 6869,1840 By Matching Biggest Common Factor Method

Now, list down the factors of 6869

1,6869

Now, list down the factors of 1840

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Greatest Common Factor

We found the factors 6869,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 6869,1840 is 1.

Lets's calculate LCM of 293,8540

Lowest Common Multiple of 293,8540 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2502220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2502220

Therefore, the GCF of Fractions 6869/293,1840/8540 is 1/2502220

Least Common Multiple of 293,8540 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 293,8540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,8540) = 1

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

GCF(293,8540) x common factors =1 x 1 = 1

LCM(293,8540) = ( 293 × 8540 ) / 1

LCM(293,8540) = 2502220 / 1

LCM(293,8540) = 2502220

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FAQs on GCF of Fractions of 6869/293, 1840/8540

1. What is the HCF of 6869,1840?

The HCF of 6869,1840 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 6869/293, 1840/8540?

Answer: GCF of Numerators as per given numbers 6869/293, 1840/8540 is

GCF of Numerators i.e. for 6869,1840 is 1

LCM of denominators i.e. for 293,8540 is 2502220.

Thus, GCF of Fractions is 1/2502220.Finally, GCF of Fractions for 6869/293, 1840/8540 is 1/2502220.