Greatest Common Factor of 841/154, 672/284, 465/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 841/154, 672/284, 465/361

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 841/154,672/284,465/361

Given fractions are 841/154,672/284,465/361

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 841,672,465

Greatest Common Factor of Numerators i.e. GCF of 841,672,465 is 1 .

LCM of Denominators means LCM of 154,284,361 as per the given fractions.

LCM of 154,284,361 is 7894348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 841,672,465

GCF of Fractions 841/154,672/284,465/361 is 1/7894348

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

Greatest Common Factor of 841,672,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 841,672,465 By Matching Biggest Common Factor Method

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 841,672,465 . The biggest common factor number is the GCF number.
So the greatest common factor 841,672,465 is 1.

Lets's calculate LCM of 154,284,361

2 154, 284, 361
77, 142, 361

∴ So the LCM of the given numbers is 2 x 77 x 142 x 361 = 7894348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7894348

Therefore, the GCF of Fractions 841/154,672/284,465/361 is 1/7894348

Least Common Multiple of 154,284,361 with GCF Formula

Least Common Multiple of 154,284,361 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 154,284,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,284,361) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(154,284,361) x common factors =1 x 2 = 2

LCM(154,284,361) = ( 154 × 284 × 361 ) / 2

LCM(154,284,361) = 15788696 / 2

LCM(154,284,361) = 7894348


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 841/154, 672/284, 465/361

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 841/154, 672/284, 465/361?

Answer: GCF of Numerators as per given numbers 841/154, 672/284, 465/361 is

GCF of Numerators i.e. for 841,672,465 is 1

LCM of denominators i.e. for 154,284,361 is 7894348.

Thus, GCF of Fractions is 1/7894348.Finally, GCF of Fractions for 841/154, 672/284, 465/361 is 1/7894348.