How to Find GCF of 4397/695, 1687/676?

GCF of 4397/695, 1687/676

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 4397/695, 1687/676 i.e 1/469820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4397/695, 1687/676.

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 4397/695,1687/676?

Given fractions are 4397/695,1687/676

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 4397/695,1687/676, numerators are 4397,1687

Denominators are 695,676

The GCF of 4397,1687 is 1 .

LCM of 695,676 is 469820.

The greatest common factor of 4397/695,1687/676 = [GCF of 4397,1687]/[LCM of 695,676]= 1/469820

Therefore, the GCF of 4397/695,1687/676 is 1/469820.

Greatest Common Factor of 4397,1687

To find the highest common factor of 4397,1687, we have to find the factors of both numbers and list the highest common factor.

The factors of 4397 are 1, 4397

The factors of 1687 are 1, 7, 241, 1687

The HCF of 4397,1687 is 1.

Lets's calculate GCF of 4397,1687

Greatest Common Factor (GCF) of 4397,1687 By Common Division

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

Greatest Common Factor of 4397,1687 By Matching Biggest Common Factor Method

Now, list down the factors of 4397

1,4397

Now, list down the factors of 1687

1,7,241,1687

Greatest Common Factor

We found the factors 4397,1687 . The biggest common factor number is the GCF number.
So the greatest common factor 4397,1687 is 1.

Lets's calculate LCM of 695,676

Lowest Common Multiple of 695,676 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 469820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/469820

Therefore, the GCF of Fractions 4397/695,1687/676 is 1/469820

Least Common Multiple of 695,676 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 695,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,676) = 1

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

GCF(695,676) x common factors =1 x 1 = 1

LCM(695,676) = ( 695 × 676 ) / 1

LCM(695,676) = 469820 / 1

LCM(695,676) = 469820

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4397/695, 1687/676

1. What is the HCF of 4397,1687?

The HCF of 4397,1687 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 4397/695, 1687/676?

Answer: GCF of Numerators as per given numbers 4397/695, 1687/676 is

GCF of Numerators i.e. for 4397,1687 is 1

LCM of denominators i.e. for 695,676 is 469820.

Thus, GCF of Fractions is 1/469820.Finally, GCF of Fractions for 4397/695, 1687/676 is 1/469820.