How to Find GCF of 14/65, 742/62, 766/621?

GCF of 14/65, 742/62, 766/621

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 14/65, 742/62, 766/621 i.e 2/2502630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/65, 742/62, 766/621.

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 14/65,742/62,766/621?

Given fractions are 14/65,742/62,766/621

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 14/65,742/62,766/621, numerators are 14,742,766

Denominators are 65,62,621

The GCF of 14,742,766 is 2 .

LCM of 65,62,621 is 2502630.

The greatest common factor of 14/65,742/62,766/621 = [GCF of 14,742,766]/[LCM of 65,62,621]= 2/2502630

Therefore, the GCF of 14/65,742/62,766/621 is 2/2502630.

Greatest Common Factor of 14,742,766

To find the highest common factor of 14,742,766, 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 742 are 1, 2, 7, 14, 53, 106, 371, 742

The factors of 766 are 1, 2, 383, 766

The HCF of 14,742,766 is 2.

Lets's calculate GCF of 14,742,766

Greatest Common Factor (GCF) of 14,742,766 By Common Division

2	14, 742, 766
	7, 371, 383

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 14,742,766 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 742

1,2,7,14,53,106,371,742

Now, list down the factors of 766

1,2,383,766

Greatest Common Factor

We found the factors 14,742,766 . The biggest common factor number is the GCF number.
So the greatest common factor 14,742,766 is 2.

Lets's calculate LCM of 65,62,621

Lowest Common Multiple of 65,62,621 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2502630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2502630

Therefore, the GCF of Fractions 14/65,742/62,766/621 is 2/2502630

Least Common Multiple of 65,62,621 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 65,62,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,62,621) = 1

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

GCF(65,62,621) x common factors =1 x 1 = 1

LCM(65,62,621) = ( 65 × 62 × 621 ) / 1

LCM(65,62,621) = 2502630 / 1

LCM(65,62,621) = 2502630

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 14/65, 742/62, 766/621

1. What is the HCF of 14,742,766?

The HCF of 14,742,766 is 2

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 14/65, 742/62, 766/621?

Answer: GCF of Numerators as per given numbers 14/65, 742/62, 766/621 is

GCF of Numerators i.e. for 14,742,766 is 2

LCM of denominators i.e. for 65,62,621 is 2502630.

Thus, GCF of Fractions is 2/2502630.Finally, GCF of Fractions for 14/65, 742/62, 766/621 is 2/2502630.