How to Find GCF of 3069/342, 2725/1589?

GCF of 3069/342, 2725/1589

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 3069/342, 2725/1589 i.e 1/543438 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3069/342, 2725/1589.

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 3069/342,2725/1589?

Given fractions are 3069/342,2725/1589

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 3069/342,2725/1589, numerators are 3069,2725

Denominators are 342,1589

The GCF of 3069,2725 is 1 .

LCM of 342,1589 is 543438.

The greatest common factor of 3069/342,2725/1589 = [GCF of 3069,2725]/[LCM of 342,1589]= 1/543438

Therefore, the GCF of 3069/342,2725/1589 is 1/543438.

Greatest Common Factor of 3069,2725

To find the highest common factor of 3069,2725, we have to find the factors of both numbers and list the highest common factor.

The factors of 3069 are 1, 3, 9, 11, 31, 33, 93, 99, 279, 341, 1023, 3069

The factors of 2725 are 1, 5, 25, 109, 545, 2725

The HCF of 3069,2725 is 1.

Lets's calculate GCF of 3069,2725

Greatest Common Factor (GCF) of 3069,2725 By Common Division

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

Greatest Common Factor of 3069,2725 By Matching Biggest Common Factor Method

Now, list down the factors of 3069

1,3,9,11,31,33,93,99,279,341,1023,3069

Now, list down the factors of 2725

1,5,25,109,545,2725

Greatest Common Factor

We found the factors 3069,2725 . The biggest common factor number is the GCF number.
So the greatest common factor 3069,2725 is 1.

Lets's calculate LCM of 342,1589

Lowest Common Multiple of 342,1589 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 543438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/543438

Therefore, the GCF of Fractions 3069/342,2725/1589 is 1/543438

Least Common Multiple of 342,1589 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 342,1589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,1589) = 1

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

GCF(342,1589) x common factors =1 x 1 = 1

LCM(342,1589) = ( 342 × 1589 ) / 1

LCM(342,1589) = 543438 / 1

LCM(342,1589) = 543438

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3069/342, 2725/1589

1. What is the HCF of 3069,2725?

The HCF of 3069,2725 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 3069/342, 2725/1589?

Answer: GCF of Numerators as per given numbers 3069/342, 2725/1589 is

GCF of Numerators i.e. for 3069,2725 is 1

LCM of denominators i.e. for 342,1589 is 543438.

Thus, GCF of Fractions is 1/543438.Finally, GCF of Fractions for 3069/342, 2725/1589 is 1/543438.