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GCF of 697/219, 5739/3781

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 697/219, 5739/3781 i.e 1/828039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 697/219, 5739/3781.

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 697/219,5739/3781?

Given fractions are 697/219,5739/3781

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 697/219,5739/3781, numerators are 697,5739

Denominators are 219,3781

The GCF of 697,5739 is 1 .

LCM of 219,3781 is 828039.

The greatest common factor of 697/219,5739/3781 = [GCF of 697,5739]/[LCM of 219,3781]= 1/828039

Therefore, the GCF of 697/219,5739/3781 is 1/828039.

Greatest Common Factor of 697,5739

To find the highest common factor of 697,5739, we have to find the factors of both numbers and list the highest common factor.

The factors of 697 are 1, 17, 41, 697

The factors of 5739 are 1, 3, 1913, 5739

The HCF of 697,5739 is 1.

Lets's calculate GCF of 697,5739

Greatest Common Factor (GCF) of 697,5739 By Common Division

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

Greatest Common Factor of 697,5739 By Matching Biggest Common Factor Method

Greatest Common Factor of 697,5739 By Matching Biggest Common Factor Method

Now, list down the factors of 697

:

1,17,41,697

Now, list down the factors of 5739

:

1,3,1913,5739

Greatest Common Factor

We found the factors 697,5739 . The biggest common factor number is the GCF number.
So the greatest common factor 697,5739 is 1.

Lets's calculate LCM of 219,3781

Lowest Common Multiple of 219,3781 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 828039

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/828039

Therefore, the GCF of Fractions 697/219,5739/3781 is 1/828039

Least Common Multiple of 219,3781 with GCF Formula

Least Common Multiple of 219,3781 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 219,3781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,3781) = 1

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

GCF(219,3781) x common factors =1 x 1 = 1

LCM(219,3781) = ( 219 × 3781 ) / 1

LCM(219,3781) = 828039 / 1

LCM(219,3781) = 828039


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FAQs on GCF of Fractions of 697/219, 5739/3781

1. What is the HCF of 697,5739?

The HCF of 697,5739 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 697/219, 5739/3781?

Answer: GCF of Numerators as per given numbers 697/219, 5739/3781 is

GCF of Numerators i.e. for 697,5739 is 1

LCM of denominators i.e. for 219,3781 is 828039.

Thus, GCF of Fractions is 1/828039.Finally, GCF of Fractions for 697/219, 5739/3781 is 1/828039.