How to Find GCF of 14/611, 585/764, 697/300?

GCF of 14/611, 585/764, 697/300

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 14/611, 585/764, 697/300 i.e 1/35010300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/611, 585/764, 697/300.

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 14/611,585/764,697/300?

Given fractions are 14/611,585/764,697/300

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 14/611,585/764,697/300, numerators are 14,585,697

Denominators are 611,764,300

The GCF of 14,585,697 is 1 .

LCM of 611,764,300 is 35010300.

The greatest common factor of 14/611,585/764,697/300 = [GCF of 14,585,697]/[LCM of 611,764,300]= 1/35010300

Therefore, the GCF of 14/611,585/764,697/300 is 1/35010300.

Greatest Common Factor of 14,585,697

To find the highest common factor of 14,585,697, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

The HCF of 14,585,697 is 1.

Lets's calculate GCF of 14,585,697

Greatest Common Factor (GCF) of 14,585,697 By Common Division

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

Greatest Common Factor of 14,585,697 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 585

1,3,5,9,13,15,39,45,65,117,195,585

Now, list down the factors of 697

1,17,41,697

Greatest Common Factor

We found the factors 14,585,697 . The biggest common factor number is the GCF number.
So the greatest common factor 14,585,697 is 1.

Lets's calculate LCM of 611,764,300

Lowest Common Multiple of 611,764,300 using Common Division

2	611, 764, 300
2	611, 382, 150
	611, 191, 75

∴ So the LCM of the given numbers is 2 x 2 x 611 x 191 x 75 = 35010300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35010300

Therefore, the GCF of Fractions 14/611,585/764,697/300 is 1/35010300

Least Common Multiple of 611,764,300 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 611,764,300 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,764,300) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(611,764,300) x common factors =1 x 4 = 4

LCM(611,764,300) = ( 611 × 764 × 300 ) / 4

LCM(611,764,300) = 140041200 / 4

LCM(611,764,300) = 35010300

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/611, 585/764, 697/300

1. What is the HCF of 14,585,697?

The HCF of 14,585,697 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 14/611, 585/764, 697/300?

Answer: GCF of Numerators as per given numbers 14/611, 585/764, 697/300 is

GCF of Numerators i.e. for 14,585,697 is 1

LCM of denominators i.e. for 611,764,300 is 35010300.

Thus, GCF of Fractions is 1/35010300.Finally, GCF of Fractions for 14/611, 585/764, 697/300 is 1/35010300.