How to Find GCF of 8269/785, 5686/8084?

GCF of 8269/785, 5686/8084

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 8269/785, 5686/8084 i.e 1/6345940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8269/785, 5686/8084.

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 8269/785,5686/8084?

Given fractions are 8269/785,5686/8084

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 8269/785,5686/8084, numerators are 8269,5686

Denominators are 785,8084

The GCF of 8269,5686 is 1 .

LCM of 785,8084 is 6345940.

The greatest common factor of 8269/785,5686/8084 = [GCF of 8269,5686]/[LCM of 785,8084]= 1/6345940

Therefore, the GCF of 8269/785,5686/8084 is 1/6345940.

Greatest Common Factor of 8269,5686

To find the highest common factor of 8269,5686, we have to find the factors of both numbers and list the highest common factor.

The factors of 8269 are 1, 8269

The factors of 5686 are 1, 2, 2843, 5686

The HCF of 8269,5686 is 1.

Lets's calculate GCF of 8269,5686

Greatest Common Factor (GCF) of 8269,5686 By Common Division

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

Greatest Common Factor of 8269,5686 By Matching Biggest Common Factor Method

Now, list down the factors of 8269

1,8269

Now, list down the factors of 5686

1,2,2843,5686

Greatest Common Factor

We found the factors 8269,5686 . The biggest common factor number is the GCF number.
So the greatest common factor 8269,5686 is 1.

Lets's calculate LCM of 785,8084

Lowest Common Multiple of 785,8084 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6345940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6345940

Therefore, the GCF of Fractions 8269/785,5686/8084 is 1/6345940

Least Common Multiple of 785,8084 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 785,8084 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,8084) = 1

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

GCF(785,8084) x common factors =1 x 1 = 1

LCM(785,8084) = ( 785 × 8084 ) / 1

LCM(785,8084) = 6345940 / 1

LCM(785,8084) = 6345940

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FAQs on GCF of Fractions of 8269/785, 5686/8084

1. What is the HCF of 8269,5686?

The HCF of 8269,5686 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 8269/785, 5686/8084?

Answer: GCF of Numerators as per given numbers 8269/785, 5686/8084 is

GCF of Numerators i.e. for 8269,5686 is 1

LCM of denominators i.e. for 785,8084 is 6345940.

Thus, GCF of Fractions is 1/6345940.Finally, GCF of Fractions for 8269/785, 5686/8084 is 1/6345940.