How to Find GCF of 53/810, 726/969, 907/775?

GCF of 53/810, 726/969, 907/775

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 53/810, 726/969, 907/775 i.e 1/40552650 easily. The following is the detailed procedure to determine the greatest common factor of fractions 53/810, 726/969, 907/775.

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 53/810,726/969,907/775?

Given fractions are 53/810,726/969,907/775

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 53/810,726/969,907/775, numerators are 53,726,907

Denominators are 810,969,775

The GCF of 53,726,907 is 1 .

LCM of 810,969,775 is 40552650.

The greatest common factor of 53/810,726/969,907/775 = [GCF of 53,726,907]/[LCM of 810,969,775]= 1/40552650

Therefore, the GCF of 53/810,726/969,907/775 is 1/40552650.

Greatest Common Factor of 53,726,907

To find the highest common factor of 53,726,907, we have to find the factors of both numbers and list the highest common factor.

The factors of 53 are 1, 53

The factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

The factors of 907 are 1, 907

The HCF of 53,726,907 is 1.

Lets's calculate GCF of 53,726,907

Greatest Common Factor (GCF) of 53,726,907 By Common Division

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

Greatest Common Factor of 53,726,907 By Matching Biggest Common Factor Method

Now, list down the factors of 53

1,53

Now, list down the factors of 726

1,2,3,6,11,22,33,66,121,242,363,726

Now, list down the factors of 907

1,907

Greatest Common Factor

We found the factors 53,726,907 . The biggest common factor number is the GCF number.
So the greatest common factor 53,726,907 is 1.

Lets's calculate LCM of 810,969,775

Lowest Common Multiple of 810,969,775 using Common Division

3	810, 969, 775
5	270, 323, 775
	54, 323, 155

∴ So the LCM of the given numbers is 3 x 5 x 54 x 323 x 155 = 40552650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40552650

Therefore, the GCF of Fractions 53/810,726/969,907/775 is 1/40552650

Least Common Multiple of 810,969,775 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 810,969,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(810,969,775) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(810,969,775) x common factors =1 x 15 = 15

LCM(810,969,775) = ( 810 × 969 × 775 ) / 15

LCM(810,969,775) = 608289750 / 15

LCM(810,969,775) = 40552650

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 53/810, 726/969, 907/775

1. What is the HCF of 53,726,907?

The HCF of 53,726,907 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 53/810, 726/969, 907/775?

Answer: GCF of Numerators as per given numbers 53/810, 726/969, 907/775 is

GCF of Numerators i.e. for 53,726,907 is 1

LCM of denominators i.e. for 810,969,775 is 40552650.

Thus, GCF of Fractions is 1/40552650.Finally, GCF of Fractions for 53/810, 726/969, 907/775 is 1/40552650.