How to Find GCF of 1714/475, 3719/6489?

GCF of 1714/475, 3719/6489

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 1714/475, 3719/6489 i.e 1/3082275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1714/475, 3719/6489.

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 1714/475,3719/6489?

Given fractions are 1714/475,3719/6489

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 1714/475,3719/6489, numerators are 1714,3719

Denominators are 475,6489

The GCF of 1714,3719 is 1 .

LCM of 475,6489 is 3082275.

The greatest common factor of 1714/475,3719/6489 = [GCF of 1714,3719]/[LCM of 475,6489]= 1/3082275

Therefore, the GCF of 1714/475,3719/6489 is 1/3082275.

Greatest Common Factor of 1714,3719

To find the highest common factor of 1714,3719, we have to find the factors of both numbers and list the highest common factor.

The factors of 1714 are 1, 2, 857, 1714

The factors of 3719 are 1, 3719

The HCF of 1714,3719 is 1.

Lets's calculate GCF of 1714,3719

Greatest Common Factor (GCF) of 1714,3719 By Common Division

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

Greatest Common Factor of 1714,3719 By Matching Biggest Common Factor Method

Now, list down the factors of 1714

1,2,857,1714

Now, list down the factors of 3719

1,3719

Greatest Common Factor

We found the factors 1714,3719 . The biggest common factor number is the GCF number.
So the greatest common factor 1714,3719 is 1.

Lets's calculate LCM of 475,6489

Lowest Common Multiple of 475,6489 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3082275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3082275

Therefore, the GCF of Fractions 1714/475,3719/6489 is 1/3082275

Least Common Multiple of 475,6489 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 475,6489 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,6489) = 1

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

GCF(475,6489) x common factors =1 x 1 = 1

LCM(475,6489) = ( 475 × 6489 ) / 1

LCM(475,6489) = 3082275 / 1

LCM(475,6489) = 3082275

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1714/475, 3719/6489

1. What is the HCF of 1714,3719?

The HCF of 1714,3719 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 1714/475, 3719/6489?

Answer: GCF of Numerators as per given numbers 1714/475, 3719/6489 is

GCF of Numerators i.e. for 1714,3719 is 1

LCM of denominators i.e. for 475,6489 is 3082275.

Thus, GCF of Fractions is 1/3082275.Finally, GCF of Fractions for 1714/475, 3719/6489 is 1/3082275.