How to Find GCF of 5321/692, 1669/7283?

GCF of 5321/692, 1669/7283

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 5321/692, 1669/7283 i.e 1/5039836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5321/692, 1669/7283.

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 5321/692,1669/7283?

Given fractions are 5321/692,1669/7283

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 5321/692,1669/7283, numerators are 5321,1669

Denominators are 692,7283

The GCF of 5321,1669 is 1 .

LCM of 692,7283 is 5039836.

The greatest common factor of 5321/692,1669/7283 = [GCF of 5321,1669]/[LCM of 692,7283]= 1/5039836

Therefore, the GCF of 5321/692,1669/7283 is 1/5039836.

Greatest Common Factor of 5321,1669

To find the highest common factor of 5321,1669, we have to find the factors of both numbers and list the highest common factor.

The factors of 5321 are 1, 17, 313, 5321

The factors of 1669 are 1, 1669

The HCF of 5321,1669 is 1.

Lets's calculate GCF of 5321,1669

Greatest Common Factor (GCF) of 5321,1669 By Common Division

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

Greatest Common Factor of 5321,1669 By Matching Biggest Common Factor Method

Now, list down the factors of 5321

1,17,313,5321

Now, list down the factors of 1669

1,1669

Greatest Common Factor

We found the factors 5321,1669 . The biggest common factor number is the GCF number.
So the greatest common factor 5321,1669 is 1.

Lets's calculate LCM of 692,7283

Lowest Common Multiple of 692,7283 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5039836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5039836

Therefore, the GCF of Fractions 5321/692,1669/7283 is 1/5039836

Least Common Multiple of 692,7283 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 692,7283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(692,7283) = 1

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

GCF(692,7283) x common factors =1 x 1 = 1

LCM(692,7283) = ( 692 × 7283 ) / 1

LCM(692,7283) = 5039836 / 1

LCM(692,7283) = 5039836

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FAQs on GCF of Fractions of 5321/692, 1669/7283

1. What is the HCF of 5321,1669?

The HCF of 5321,1669 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 5321/692, 1669/7283?

Answer: GCF of Numerators as per given numbers 5321/692, 1669/7283 is

GCF of Numerators i.e. for 5321,1669 is 1

LCM of denominators i.e. for 692,7283 is 5039836.

Thus, GCF of Fractions is 1/5039836.Finally, GCF of Fractions for 5321/692, 1669/7283 is 1/5039836.