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GCF of 777/989, 6405/6463

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 777/989, 6405/6463 i.e 21/277909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 777/989, 6405/6463.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 777/989,6405/6463?

Given fractions are 777/989,6405/6463

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 777/989,6405/6463, numerators are 777,6405

Denominators are 989,6463

The GCF of 777,6405 is 21 .

LCM of 989,6463 is 277909.

The greatest common factor of 777/989,6405/6463 = [GCF of 777,6405]/[LCM of 989,6463]= 21/277909

Therefore, the GCF of 777/989,6405/6463 is 21/277909.

Greatest Common Factor of 777,6405

To find the highest common factor of 777,6405, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 6405 are 1, 3, 5, 7, 15, 21, 35, 61, 105, 183, 305, 427, 915, 1281, 2135, 6405

The HCF of 777,6405 is 21.

Lets's calculate GCF of 777,6405

Greatest Common Factor (GCF) of 777,6405 By Common Division

3 777, 6405
7 259, 2135
37, 305

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 777,6405 By Matching Biggest Common Factor Method

Greatest Common Factor of 777,6405 By Matching Biggest Common Factor Method

Now, list down the factors of 777

:

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

Now, list down the factors of 6405

:

1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405

Greatest Common Factor

We found the factors 777,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 777,6405 is 21.


Lets's calculate LCM of 989,6463

Lowest Common Multiple of 989,6463 using Common Division

23 989, 6463
43, 281

∴ So the LCM of the given numbers is 23 x 43 x 281 = 277909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/277909

Therefore, the GCF of Fractions 777/989,6405/6463 is 21/277909

Least Common Multiple of 989,6463 with GCF Formula

Least Common Multiple of 989,6463 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 989,6463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(989,6463) = 23

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

GCF(989,6463) x common factors =23 x 1 = 23

LCM(989,6463) = ( 989 × 6463 ) / 23

LCM(989,6463) = 6391907 / 23

LCM(989,6463) = 277909


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 777/989, 6405/6463

1. What is the HCF of 777,6405?

The HCF of 777,6405 is 21

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 777/989, 6405/6463?

Answer: GCF of Numerators as per given numbers 777/989, 6405/6463 is

GCF of Numerators i.e. for 777,6405 is 21

LCM of denominators i.e. for 989,6463 is 277909.

Thus, GCF of Fractions is 21/277909.Finally, GCF of Fractions for 777/989, 6405/6463 is 21/277909.