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GCF of 4286/473, 8693/8469

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 4286/473, 8693/8469 i.e 1/4005837 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4286/473, 8693/8469.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 4286/473,8693/8469?

Given fractions are 4286/473,8693/8469

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 4286/473,8693/8469, numerators are 4286,8693

Denominators are 473,8469

The GCF of 4286,8693 is 1 .

LCM of 473,8469 is 4005837.

The greatest common factor of 4286/473,8693/8469 = [GCF of 4286,8693]/[LCM of 473,8469]= 1/4005837

Therefore, the GCF of 4286/473,8693/8469 is 1/4005837.

Greatest Common Factor of 4286,8693

To find the highest common factor of 4286,8693, we have to find the factors of both numbers and list the highest common factor.

The factors of 4286 are 1, 2, 2143, 4286

The factors of 8693 are 1, 8693

The HCF of 4286,8693 is 1.

Lets's calculate GCF of 4286,8693

Greatest Common Factor (GCF) of 4286,8693 By Common Division

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

Greatest Common Factor of 4286,8693 By Matching Biggest Common Factor Method

Greatest Common Factor of 4286,8693 By Matching Biggest Common Factor Method

Now, list down the factors of 4286

:

1,2,2143,4286

Now, list down the factors of 8693

:

1,8693

Greatest Common Factor

We found the factors 4286,8693 . The biggest common factor number is the GCF number.
So the greatest common factor 4286,8693 is 1.

Lets's calculate LCM of 473,8469

Lowest Common Multiple of 473,8469 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4005837

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4005837

Therefore, the GCF of Fractions 4286/473,8693/8469 is 1/4005837

Least Common Multiple of 473,8469 with GCF Formula

Least Common Multiple of 473,8469 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 473,8469 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,8469) = 1

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

GCF(473,8469) x common factors =1 x 1 = 1

LCM(473,8469) = ( 473 × 8469 ) / 1

LCM(473,8469) = 4005837 / 1

LCM(473,8469) = 4005837


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FAQs on GCF of Fractions of 4286/473, 8693/8469

1. What is the HCF of 4286,8693?

The HCF of 4286,8693 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 4286/473, 8693/8469?

Answer: GCF of Numerators as per given numbers 4286/473, 8693/8469 is

GCF of Numerators i.e. for 4286,8693 is 1

LCM of denominators i.e. for 473,8469 is 4005837.

Thus, GCF of Fractions is 1/4005837.Finally, GCF of Fractions for 4286/473, 8693/8469 is 1/4005837.