Greatest Common Factor of 3696/166, 3040/3196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3696/166, 3040/3196

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 3696/166,3040/3196

Given fractions are 3696/166,3040/3196

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 3696,3040

Greatest Common Factor of Numerators i.e. GCF of 3696,3040 is 16 .

LCM of Denominators means LCM of 166,3196 as per the given fractions.

LCM of 166,3196 is 265268 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3696,3040

GCF of Fractions 3696/166,3040/3196 is 16/265268

2 3696, 3040
2 1848, 1520
2 924, 760
2 462, 380
231, 190

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 3696,3040 By Matching Biggest Common Factor Method

Greatest Common Factor of 3696,3040 By Matching Biggest Common Factor Method

Factors of 3696

List of positive integer factors of 3696 that divides 3696 without a remainder.

1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,33,42,44,48,56,66,77,84,88,112,132,154,168,176,231,264,308,336,462,528,616,924,1232,1848,3696

Factors of 3040

List of positive integer factors of 3040 that divides 3040 without a remainder.

1,2,4,5,8,10,16,19,20,32,38,40,76,80,95,152,160,190,304,380,608,760,1520,3040

Greatest Common Factor

We found the factors 3696,3040 . The biggest common factor number is the GCF number.
So the greatest common factor 3696,3040 is 16.

Lets's calculate LCM of 166,3196

2 166, 3196
83, 1598

∴ So the LCM of the given numbers is 2 x 83 x 1598 = 265268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/265268

Therefore, the GCF of Fractions 3696/166,3040/3196 is 16/265268

Least Common Multiple of 166,3196 with GCF Formula

Least Common Multiple of 166,3196 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 166,3196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,3196) = 2

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

GCF(166,3196) x common factors =2 x 1 = 2

LCM(166,3196) = ( 166 × 3196 ) / 2

LCM(166,3196) = 530536 / 2

LCM(166,3196) = 265268


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 3696/166, 3040/3196

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 3696/166, 3040/3196?

Answer: GCF of Numerators as per given numbers 3696/166, 3040/3196 is

GCF of Numerators i.e. for 3696,3040 is 16

LCM of denominators i.e. for 166,3196 is 265268.

Thus, GCF of Fractions is 16/265268.Finally, GCF of Fractions for 3696/166, 3040/3196 is 16/265268.