How to Find GCF of 3049/923, 1453/3366?

GCF of 3049/923, 1453/3366

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 3049/923, 1453/3366 i.e 1/3106818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3049/923, 1453/3366.

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 3049/923,1453/3366?

Given fractions are 3049/923,1453/3366

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 3049/923,1453/3366, numerators are 3049,1453

Denominators are 923,3366

The GCF of 3049,1453 is 1 .

LCM of 923,3366 is 3106818.

The greatest common factor of 3049/923,1453/3366 = [GCF of 3049,1453]/[LCM of 923,3366]= 1/3106818

Therefore, the GCF of 3049/923,1453/3366 is 1/3106818.

Greatest Common Factor of 3049,1453

To find the highest common factor of 3049,1453, we have to find the factors of both numbers and list the highest common factor.

The factors of 3049 are 1, 3049

The factors of 1453 are 1, 1453

The HCF of 3049,1453 is 1.

Lets's calculate GCF of 3049,1453

Greatest Common Factor (GCF) of 3049,1453 By Common Division

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

Greatest Common Factor of 3049,1453 By Matching Biggest Common Factor Method

Now, list down the factors of 3049

1,3049

Now, list down the factors of 1453

1,1453

Greatest Common Factor

We found the factors 3049,1453 . The biggest common factor number is the GCF number.
So the greatest common factor 3049,1453 is 1.

Lets's calculate LCM of 923,3366

Lowest Common Multiple of 923,3366 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3106818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3106818

Therefore, the GCF of Fractions 3049/923,1453/3366 is 1/3106818

Least Common Multiple of 923,3366 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 923,3366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(923,3366) = 1

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

GCF(923,3366) x common factors =1 x 1 = 1

LCM(923,3366) = ( 923 × 3366 ) / 1

LCM(923,3366) = 3106818 / 1

LCM(923,3366) = 3106818

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FAQs on GCF of Fractions of 3049/923, 1453/3366

1. What is the HCF of 3049,1453?

The HCF of 3049,1453 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 3049/923, 1453/3366?

Answer: GCF of Numerators as per given numbers 3049/923, 1453/3366 is

GCF of Numerators i.e. for 3049,1453 is 1

LCM of denominators i.e. for 923,3366 is 3106818.

Thus, GCF of Fractions is 1/3106818.Finally, GCF of Fractions for 3049/923, 1453/3366 is 1/3106818.