How to Find GCF of 1595/900, 3742/3310?

GCF of 1595/900, 3742/3310

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 1595/900, 3742/3310 i.e 1/297900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1595/900, 3742/3310.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1595/900,3742/3310?

Given fractions are 1595/900,3742/3310

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 1595/900,3742/3310, numerators are 1595,3742

Denominators are 900,3310

The GCF of 1595,3742 is 1 .

LCM of 900,3310 is 297900.

The greatest common factor of 1595/900,3742/3310 = [GCF of 1595,3742]/[LCM of 900,3310]= 1/297900

Therefore, the GCF of 1595/900,3742/3310 is 1/297900.

Greatest Common Factor of 1595,3742

To find the highest common factor of 1595,3742, we have to find the factors of both numbers and list the highest common factor.

The factors of 1595 are 1, 5, 11, 29, 55, 145, 319, 1595

The factors of 3742 are 1, 2, 1871, 3742

The HCF of 1595,3742 is 1.

Lets's calculate GCF of 1595,3742

Greatest Common Factor (GCF) of 1595,3742 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1595,3742 By Matching Biggest Common Factor Method

Now, list down the factors of 1595

1,5,11,29,55,145,319,1595

Now, list down the factors of 3742

1,2,1871,3742

Greatest Common Factor

We found the factors 1595,3742 . The biggest common factor number is the GCF number.
So the greatest common factor 1595,3742 is 1.

Lets's calculate LCM of 900,3310

Lowest Common Multiple of 900,3310 using Common Division

2	900, 3310
5	450, 1655
	90, 331

∴ So the LCM of the given numbers is 2 x 5 x 90 x 331 = 297900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/297900

Therefore, the GCF of Fractions 1595/900,3742/3310 is 1/297900

Least Common Multiple of 900,3310 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 900,3310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(900,3310) = 10

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

GCF(900,3310) x common factors =10 x 1 = 10

LCM(900,3310) = ( 900 × 3310 ) / 10

LCM(900,3310) = 2979000 / 10

LCM(900,3310) = 297900

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FAQs on GCF of Fractions of 1595/900, 3742/3310

1. What is the HCF of 1595,3742?

The HCF of 1595,3742 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 1595/900, 3742/3310?

Answer: GCF of Numerators as per given numbers 1595/900, 3742/3310 is

GCF of Numerators i.e. for 1595,3742 is 1

LCM of denominators i.e. for 900,3310 is 297900.

Thus, GCF of Fractions is 1/297900.Finally, GCF of Fractions for 1595/900, 3742/3310 is 1/297900.