Greatest Common Factor of 1691/704, 1596/1905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1691/704, 1596/1905

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 1691/704,1596/1905

Given fractions are 1691/704,1596/1905

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 1691,1596

Greatest Common Factor of Numerators i.e. GCF of 1691,1596 is 19 .

LCM of Denominators means LCM of 704,1905 as per the given fractions.

LCM of 704,1905 is 1341120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1691,1596

GCF of Fractions 1691/704,1596/1905 is 19/1341120

19 1691, 1596
89, 84

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 1691,1596 By Matching Biggest Common Factor Method

Greatest Common Factor of 1691,1596 By Matching Biggest Common Factor Method

Factors of 1691

List of positive integer factors of 1691 that divides 1691 without a remainder.

1,19,89,1691

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors 1691,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 1691,1596 is 19.

Lets's calculate LCM of 704,1905

Given numbers has no common factors except 1. So, there LCM is their product i.e 1341120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/1341120

Therefore, the GCF of Fractions 1691/704,1596/1905 is 19/1341120

Least Common Multiple of 704,1905 with GCF Formula

Least Common Multiple of 704,1905 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 704,1905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,1905) = 1

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

GCF(704,1905) x common factors =1 x 1 = 1

LCM(704,1905) = ( 704 × 1905 ) / 1

LCM(704,1905) = 1341120 / 1

LCM(704,1905) = 1341120


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 1691/704, 1596/1905

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 1691/704, 1596/1905?

Answer: GCF of Numerators as per given numbers 1691/704, 1596/1905 is

GCF of Numerators i.e. for 1691,1596 is 19

LCM of denominators i.e. for 704,1905 is 1341120.

Thus, GCF of Fractions is 19/1341120.Finally, GCF of Fractions for 1691/704, 1596/1905 is 19/1341120.