How to Find GCF of 3067/342, 7569/3814?

GCF of 3067/342, 7569/3814

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 3067/342, 7569/3814 i.e 1/652194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3067/342, 7569/3814.

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 3067/342,7569/3814?

Given fractions are 3067/342,7569/3814

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 3067/342,7569/3814, numerators are 3067,7569

Denominators are 342,3814

The GCF of 3067,7569 is 1 .

LCM of 342,3814 is 652194.

The greatest common factor of 3067/342,7569/3814 = [GCF of 3067,7569]/[LCM of 342,3814]= 1/652194

Therefore, the GCF of 3067/342,7569/3814 is 1/652194.

Greatest Common Factor of 3067,7569

To find the highest common factor of 3067,7569, we have to find the factors of both numbers and list the highest common factor.

The factors of 3067 are 1, 3067

The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569

The HCF of 3067,7569 is 1.

Lets's calculate GCF of 3067,7569

Greatest Common Factor (GCF) of 3067,7569 By Common Division

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

Greatest Common Factor of 3067,7569 By Matching Biggest Common Factor Method

Now, list down the factors of 3067

1,3067

Now, list down the factors of 7569

1,3,9,29,87,261,841,2523,7569

Greatest Common Factor

We found the factors 3067,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 3067,7569 is 1.

Lets's calculate LCM of 342,3814

Lowest Common Multiple of 342,3814 using Common Division

2	342, 3814
	171, 1907

∴ So the LCM of the given numbers is 2 x 171 x 1907 = 652194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/652194

Therefore, the GCF of Fractions 3067/342,7569/3814 is 1/652194

Least Common Multiple of 342,3814 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 342,3814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,3814) = 2

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

GCF(342,3814) x common factors =2 x 1 = 2

LCM(342,3814) = ( 342 × 3814 ) / 2

LCM(342,3814) = 1304388 / 2

LCM(342,3814) = 652194

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FAQs on GCF of Fractions of 3067/342, 7569/3814

1. What is the HCF of 3067,7569?

The HCF of 3067,7569 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 3067/342, 7569/3814?

Answer: GCF of Numerators as per given numbers 3067/342, 7569/3814 is

GCF of Numerators i.e. for 3067,7569 is 1

LCM of denominators i.e. for 342,3814 is 652194.

Thus, GCF of Fractions is 1/652194.Finally, GCF of Fractions for 3067/342, 7569/3814 is 1/652194.