Greatest Common Factor of 346/45, 416/6164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 346/45, 416/6164

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 346/45,416/6164

Given fractions are 346/45,416/6164

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 346,416

Greatest Common Factor of Numerators i.e. GCF of 346,416 is 2 .

LCM of Denominators means LCM of 45,6164 as per the given fractions.

LCM of 45,6164 is 277380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 346,416

GCF of Fractions 346/45,416/6164 is 2/277380

2 346, 416
173, 208

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 346,416 By Matching Biggest Common Factor Method

Greatest Common Factor of 346,416 By Matching Biggest Common Factor Method

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Greatest Common Factor

We found the factors 346,416 . The biggest common factor number is the GCF number.
So the greatest common factor 346,416 is 2.

Lets's calculate LCM of 45,6164

Given numbers has no common factors except 1. So, there LCM is their product i.e 277380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/277380

Therefore, the GCF of Fractions 346/45,416/6164 is 2/277380

Least Common Multiple of 45,6164 with GCF Formula

Least Common Multiple of 45,6164 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 45,6164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,6164) = 1

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

GCF(45,6164) x common factors =1 x 1 = 1

LCM(45,6164) = ( 45 × 6164 ) / 1

LCM(45,6164) = 277380 / 1

LCM(45,6164) = 277380


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 346/45, 416/6164

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 346/45, 416/6164?

Answer: GCF of Numerators as per given numbers 346/45, 416/6164 is

GCF of Numerators i.e. for 346,416 is 2

LCM of denominators i.e. for 45,6164 is 277380.

Thus, GCF of Fractions is 2/277380.Finally, GCF of Fractions for 346/45, 416/6164 is 2/277380.