Greatest Common Factor of 350/28, 441/83, 705/85

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 350/28, 441/83, 705/85

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 350/28,441/83,705/85

Given fractions are 350/28,441/83,705/85

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 350,441,705

Greatest Common Factor of Numerators i.e. GCF of 350,441,705 is 1 .

LCM of Denominators means LCM of 28,83,85 as per the given fractions.

LCM of 28,83,85 is 197540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 350,441,705

GCF of Fractions 350/28,441/83,705/85 is 1/197540

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

Greatest Common Factor of 350,441,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 350,441,705 By Matching Biggest Common Factor Method

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 350,441,705 . The biggest common factor number is the GCF number.
So the greatest common factor 350,441,705 is 1.

Lets's calculate LCM of 28,83,85

Given numbers has no common factors except 1. So, there LCM is their product i.e 197540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197540

Therefore, the GCF of Fractions 350/28,441/83,705/85 is 1/197540

Least Common Multiple of 28,83,85 with GCF Formula

Least Common Multiple of 28,83,85 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 28,83,85 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,83,85) = 1

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

GCF(28,83,85) x common factors =1 x 1 = 1

LCM(28,83,85) = ( 28 × 83 × 85 ) / 1

LCM(28,83,85) = 197540 / 1

LCM(28,83,85) = 197540


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 350/28, 441/83, 705/85

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 350/28, 441/83, 705/85?

Answer: GCF of Numerators as per given numbers 350/28, 441/83, 705/85 is

GCF of Numerators i.e. for 350,441,705 is 1

LCM of denominators i.e. for 28,83,85 is 197540.

Thus, GCF of Fractions is 1/197540.Finally, GCF of Fractions for 350/28, 441/83, 705/85 is 1/197540.