Greatest Common Factor of 77/406, 467/782, 354/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/406, 467/782, 354/459

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 77/406,467/782,354/459

Given fractions are 77/406,467/782,354/459

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 77,467,354

Greatest Common Factor of Numerators i.e. GCF of 77,467,354 is 1 .

LCM of Denominators means LCM of 406,782,459 as per the given fractions.

LCM of 406,782,459 is 4286142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,467,354

GCF of Fractions 77/406,467/782,354/459 is 1/4286142

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

Greatest Common Factor of 77,467,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,467,354 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 77,467,354 . The biggest common factor number is the GCF number.
So the greatest common factor 77,467,354 is 1.

Lets's calculate LCM of 406,782,459

2 406, 782, 459
17 203, 391, 459
203, 23, 27

∴ So the LCM of the given numbers is 2 x 17 x 203 x 23 x 27 = 4286142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4286142

Therefore, the GCF of Fractions 77/406,467/782,354/459 is 1/4286142

Least Common Multiple of 406,782,459 with GCF Formula

Least Common Multiple of 406,782,459 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 406,782,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(406,782,459) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(406,782,459) x common factors =1 x 34 = 34

LCM(406,782,459) = ( 406 × 782 × 459 ) / 34

LCM(406,782,459) = 145728828 / 34

LCM(406,782,459) = 4286142


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 77/406, 467/782, 354/459

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 77/406, 467/782, 354/459?

Answer: GCF of Numerators as per given numbers 77/406, 467/782, 354/459 is

GCF of Numerators i.e. for 77,467,354 is 1

LCM of denominators i.e. for 406,782,459 is 4286142.

Thus, GCF of Fractions is 1/4286142.Finally, GCF of Fractions for 77/406, 467/782, 354/459 is 1/4286142.