How to Find GCF of 3074/347, 7743/8228?

GCF of 3074/347, 7743/8228

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 3074/347, 7743/8228 i.e 29/2855116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3074/347, 7743/8228.

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 3074/347,7743/8228?

Given fractions are 3074/347,7743/8228

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 3074/347,7743/8228, numerators are 3074,7743

Denominators are 347,8228

The GCF of 3074,7743 is 29 .

LCM of 347,8228 is 2855116.

The greatest common factor of 3074/347,7743/8228 = [GCF of 3074,7743]/[LCM of 347,8228]= 29/2855116

Therefore, the GCF of 3074/347,7743/8228 is 29/2855116.

Greatest Common Factor of 3074,7743

To find the highest common factor of 3074,7743, we have to find the factors of both numbers and list the highest common factor.

The factors of 3074 are 1, 2, 29, 53, 58, 106, 1537, 3074

The factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743

The HCF of 3074,7743 is 29.

Lets's calculate GCF of 3074,7743

Greatest Common Factor (GCF) of 3074,7743 By Common Division

29	3074, 7743
	106, 267

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 3074,7743 By Matching Biggest Common Factor Method

Now, list down the factors of 3074

1,2,29,53,58,106,1537,3074

Now, list down the factors of 7743

1,3,29,87,89,267,2581,7743

Greatest Common Factor

We found the factors 3074,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 3074,7743 is 29.

Lets's calculate LCM of 347,8228

Lowest Common Multiple of 347,8228 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2855116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/2855116

Therefore, the GCF of Fractions 3074/347,7743/8228 is 29/2855116

Least Common Multiple of 347,8228 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 347,8228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,8228) = 1

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

GCF(347,8228) x common factors =1 x 1 = 1

LCM(347,8228) = ( 347 × 8228 ) / 1

LCM(347,8228) = 2855116 / 1

LCM(347,8228) = 2855116

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3074/347, 7743/8228

1. What is the HCF of 3074,7743?

The HCF of 3074,7743 is 29

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 3074/347, 7743/8228?

Answer: GCF of Numerators as per given numbers 3074/347, 7743/8228 is

GCF of Numerators i.e. for 3074,7743 is 29

LCM of denominators i.e. for 347,8228 is 2855116.

Thus, GCF of Fractions is 29/2855116.Finally, GCF of Fractions for 3074/347, 7743/8228 is 29/2855116.