Greatest Common Factor of 469/61, 364/82, 105/777

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 469/61, 364/82, 105/777

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 469/61,364/82,105/777

Given fractions are 469/61,364/82,105/777

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 469,364,105

Greatest Common Factor of Numerators i.e. GCF of 469,364,105 is 7 .

LCM of Denominators means LCM of 61,82,777 as per the given fractions.

LCM of 61,82,777 is 3886554 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 469,364,105

GCF of Fractions 469/61,364/82,105/777 is 7/3886554

7 469, 364, 105
67, 52, 15

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 469,364,105 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,364,105 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 469,364,105 . The biggest common factor number is the GCF number.
So the greatest common factor 469,364,105 is 7.

Lets's calculate LCM of 61,82,777

Given numbers has no common factors except 1. So, there LCM is their product i.e 3886554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3886554

Therefore, the GCF of Fractions 469/61,364/82,105/777 is 7/3886554

Least Common Multiple of 61,82,777 with GCF Formula

Least Common Multiple of 61,82,777 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 61,82,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,82,777) = 1

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

GCF(61,82,777) x common factors =1 x 1 = 1

LCM(61,82,777) = ( 61 × 82 × 777 ) / 1

LCM(61,82,777) = 3886554 / 1

LCM(61,82,777) = 3886554


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 469/61, 364/82, 105/777

1. 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.

2. What is the GCF of Fractions for 469/61, 364/82, 105/777?

Answer: GCF of Numerators as per given numbers 469/61, 364/82, 105/777 is

GCF of Numerators i.e. for 469,364,105 is 7

LCM of denominators i.e. for 61,82,777 is 3886554.

Thus, GCF of Fractions is 7/3886554.Finally, GCF of Fractions for 469/61, 364/82, 105/777 is 7/3886554.