How to Find GCF of 4283/697, 9663/7808?

GCF of 4283/697, 9663/7808

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 4283/697, 9663/7808 i.e 1/5442176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4283/697, 9663/7808.

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 4283/697,9663/7808?

Given fractions are 4283/697,9663/7808

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 4283/697,9663/7808, numerators are 4283,9663

Denominators are 697,7808

The GCF of 4283,9663 is 1 .

LCM of 697,7808 is 5442176.

The greatest common factor of 4283/697,9663/7808 = [GCF of 4283,9663]/[LCM of 697,7808]= 1/5442176

Therefore, the GCF of 4283/697,9663/7808 is 1/5442176.

Greatest Common Factor of 4283,9663

To find the highest common factor of 4283,9663, we have to find the factors of both numbers and list the highest common factor.

The factors of 4283 are 1, 4283

The factors of 9663 are 1, 3, 3221, 9663

The HCF of 4283,9663 is 1.

Lets's calculate GCF of 4283,9663

Greatest Common Factor (GCF) of 4283,9663 By Common Division

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

Greatest Common Factor of 4283,9663 By Matching Biggest Common Factor Method

Now, list down the factors of 4283

1,4283

Now, list down the factors of 9663

1,3,3221,9663

Greatest Common Factor

We found the factors 4283,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 4283,9663 is 1.

Lets's calculate LCM of 697,7808

Lowest Common Multiple of 697,7808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5442176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5442176

Therefore, the GCF of Fractions 4283/697,9663/7808 is 1/5442176

Least Common Multiple of 697,7808 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 697,7808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,7808) = 1

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

GCF(697,7808) x common factors =1 x 1 = 1

LCM(697,7808) = ( 697 × 7808 ) / 1

LCM(697,7808) = 5442176 / 1

LCM(697,7808) = 5442176

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FAQs on GCF of Fractions of 4283/697, 9663/7808

1. What is the HCF of 4283,9663?

The HCF of 4283,9663 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 4283/697, 9663/7808?

Answer: GCF of Numerators as per given numbers 4283/697, 9663/7808 is

GCF of Numerators i.e. for 4283,9663 is 1

LCM of denominators i.e. for 697,7808 is 5442176.

Thus, GCF of Fractions is 1/5442176.Finally, GCF of Fractions for 4283/697, 9663/7808 is 1/5442176.