Greatest Common Factor of 1658/33, 8216/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1658/33, 8216/431

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 1658/33,8216/431

Given fractions are 1658/33,8216/431

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 1658,8216

Greatest Common Factor of Numerators i.e. GCF of 1658,8216 is 2 .

LCM of Denominators means LCM of 33,431 as per the given fractions.

LCM of 33,431 is 14223 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1658,8216

GCF of Fractions 1658/33,8216/431 is 2/14223

2 1658, 8216
829, 4108

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

Greatest Common Factor of 1658,8216 By Matching Biggest Common Factor Method

Greatest Common Factor of 1658,8216 By Matching Biggest Common Factor Method

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1,2,829,1658

Factors of 8216

List of positive integer factors of 8216 that divides 8216 without a remainder.

1,2,4,8,13,26,52,79,104,158,316,632,1027,2054,4108,8216

Greatest Common Factor

We found the factors 1658,8216 . The biggest common factor number is the GCF number.
So the greatest common factor 1658,8216 is 2.

Lets's calculate LCM of 33,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 14223

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14223

Therefore, the GCF of Fractions 1658/33,8216/431 is 2/14223

Least Common Multiple of 33,431 with GCF Formula

Least Common Multiple of 33,431 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 33,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,431) = 1

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

GCF(33,431) x common factors =1 x 1 = 1

LCM(33,431) = ( 33 × 431 ) / 1

LCM(33,431) = 14223 / 1

LCM(33,431) = 14223


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 1658/33, 8216/431

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 1658/33, 8216/431?

Answer: GCF of Numerators as per given numbers 1658/33, 8216/431 is

GCF of Numerators i.e. for 1658,8216 is 2

LCM of denominators i.e. for 33,431 is 14223.

Thus, GCF of Fractions is 2/14223.Finally, GCF of Fractions for 1658/33, 8216/431 is 2/14223.