Greatest Common Factor of 736/621, 5814/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/621, 5814/169

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 736/621,5814/169

Given fractions are 736/621,5814/169

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 736,5814

Greatest Common Factor of Numerators i.e. GCF of 736,5814 is 2 .

LCM of Denominators means LCM of 621,169 as per the given fractions.

LCM of 621,169 is 104949 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,5814

GCF of Fractions 736/621,5814/169 is 2/104949

2 736, 5814
368, 2907

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

Greatest Common Factor of 736,5814 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,5814 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Greatest Common Factor

We found the factors 736,5814 . The biggest common factor number is the GCF number.
So the greatest common factor 736,5814 is 2.

Lets's calculate LCM of 621,169

Given numbers has no common factors except 1. So, there LCM is their product i.e 104949

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104949

Therefore, the GCF of Fractions 736/621,5814/169 is 2/104949

Least Common Multiple of 621,169 with GCF Formula

Least Common Multiple of 621,169 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 621,169 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,169) = 1

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

GCF(621,169) x common factors =1 x 1 = 1

LCM(621,169) = ( 621 × 169 ) / 1

LCM(621,169) = 104949 / 1

LCM(621,169) = 104949


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 736/621, 5814/169

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 736/621, 5814/169?

Answer: GCF of Numerators as per given numbers 736/621, 5814/169 is

GCF of Numerators i.e. for 736,5814 is 2

LCM of denominators i.e. for 621,169 is 104949.

Thus, GCF of Fractions is 2/104949.Finally, GCF of Fractions for 736/621, 5814/169 is 2/104949.