How to Find GCF of 13/80, 649/78, 777/909?

GCF of 13/80, 649/78, 777/909

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 13/80, 649/78, 777/909 i.e 1/945360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/80, 649/78, 777/909.

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 13/80,649/78,777/909?

Given fractions are 13/80,649/78,777/909

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 13/80,649/78,777/909, numerators are 13,649,777

Denominators are 80,78,909

The GCF of 13,649,777 is 1 .

LCM of 80,78,909 is 945360.

The greatest common factor of 13/80,649/78,777/909 = [GCF of 13,649,777]/[LCM of 80,78,909]= 1/945360

Therefore, the GCF of 13/80,649/78,777/909 is 1/945360.

Greatest Common Factor of 13,649,777

To find the highest common factor of 13,649,777, we have to find the factors of both numbers and list the highest common factor.

The factors of 13 are 1, 13

The factors of 649 are 1, 11, 59, 649

The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777

The HCF of 13,649,777 is 1.

Lets's calculate GCF of 13,649,777

Greatest Common Factor (GCF) of 13,649,777 By Common Division

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

Greatest Common Factor of 13,649,777 By Matching Biggest Common Factor Method

Now, list down the factors of 13

1,13

Now, list down the factors of 649

1,11,59,649

Now, list down the factors of 777

1,3,7,21,37,111,259,777

Greatest Common Factor

We found the factors 13,649,777 . The biggest common factor number is the GCF number.
So the greatest common factor 13,649,777 is 1.

Lets's calculate LCM of 80,78,909

Lowest Common Multiple of 80,78,909 using Common Division

2	80, 78, 909
3	40, 39, 909
	40, 13, 303

∴ So the LCM of the given numbers is 2 x 3 x 40 x 13 x 303 = 945360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/945360

Therefore, the GCF of Fractions 13/80,649/78,777/909 is 1/945360

Least Common Multiple of 80,78,909 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 80,78,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,78,909) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(80,78,909) x common factors =1 x 6 = 6

LCM(80,78,909) = ( 80 × 78 × 909 ) / 6

LCM(80,78,909) = 5672160 / 6

LCM(80,78,909) = 945360

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FAQs on GCF of Fractions of 13/80, 649/78, 777/909

1. What is the HCF of 13,649,777?

The HCF of 13,649,777 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 13/80, 649/78, 777/909?

Answer: GCF of Numerators as per given numbers 13/80, 649/78, 777/909 is

GCF of Numerators i.e. for 13,649,777 is 1

LCM of denominators i.e. for 80,78,909 is 945360.

Thus, GCF of Fractions is 1/945360.Finally, GCF of Fractions for 13/80, 649/78, 777/909 is 1/945360.