How to Find GCF of 3309/192, 5570/6329?

GCF of 3309/192, 5570/6329

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 3309/192, 5570/6329 i.e 1/1215168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3309/192, 5570/6329.

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 3309/192,5570/6329?

Given fractions are 3309/192,5570/6329

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 3309/192,5570/6329, numerators are 3309,5570

Denominators are 192,6329

The GCF of 3309,5570 is 1 .

LCM of 192,6329 is 1215168.

The greatest common factor of 3309/192,5570/6329 = [GCF of 3309,5570]/[LCM of 192,6329]= 1/1215168

Therefore, the GCF of 3309/192,5570/6329 is 1/1215168.

Greatest Common Factor of 3309,5570

To find the highest common factor of 3309,5570, we have to find the factors of both numbers and list the highest common factor.

The factors of 3309 are 1, 3, 1103, 3309

The factors of 5570 are 1, 2, 5, 10, 557, 1114, 2785, 5570

The HCF of 3309,5570 is 1.

Lets's calculate GCF of 3309,5570

Greatest Common Factor (GCF) of 3309,5570 By Common Division

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

Greatest Common Factor of 3309,5570 By Matching Biggest Common Factor Method

Now, list down the factors of 3309

1,3,1103,3309

Now, list down the factors of 5570

1,2,5,10,557,1114,2785,5570

Greatest Common Factor

We found the factors 3309,5570 . The biggest common factor number is the GCF number.
So the greatest common factor 3309,5570 is 1.

Lets's calculate LCM of 192,6329

Lowest Common Multiple of 192,6329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1215168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215168

Therefore, the GCF of Fractions 3309/192,5570/6329 is 1/1215168

Least Common Multiple of 192,6329 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 192,6329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,6329) = 1

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

GCF(192,6329) x common factors =1 x 1 = 1

LCM(192,6329) = ( 192 × 6329 ) / 1

LCM(192,6329) = 1215168 / 1

LCM(192,6329) = 1215168

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FAQs on GCF of Fractions of 3309/192, 5570/6329

1. What is the HCF of 3309,5570?

The HCF of 3309,5570 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 3309/192, 5570/6329?

Answer: GCF of Numerators as per given numbers 3309/192, 5570/6329 is

GCF of Numerators i.e. for 3309,5570 is 1

LCM of denominators i.e. for 192,6329 is 1215168.

Thus, GCF of Fractions is 1/1215168.Finally, GCF of Fractions for 3309/192, 5570/6329 is 1/1215168.