How to Find GCF of 3430/925, 3034/3183?

GCF of 3430/925, 3034/3183

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 3430/925, 3034/3183 i.e 2/2944275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3430/925, 3034/3183.

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 3430/925,3034/3183?

Given fractions are 3430/925,3034/3183

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 3430/925,3034/3183, numerators are 3430,3034

Denominators are 925,3183

The GCF of 3430,3034 is 2 .

LCM of 925,3183 is 2944275.

The greatest common factor of 3430/925,3034/3183 = [GCF of 3430,3034]/[LCM of 925,3183]= 2/2944275

Therefore, the GCF of 3430/925,3034/3183 is 2/2944275.

Greatest Common Factor of 3430,3034

To find the highest common factor of 3430,3034, we have to find the factors of both numbers and list the highest common factor.

The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430

The factors of 3034 are 1, 2, 37, 41, 74, 82, 1517, 3034

The HCF of 3430,3034 is 2.

Lets's calculate GCF of 3430,3034

Greatest Common Factor (GCF) of 3430,3034 By Common Division

2	3430, 3034
	1715, 1517

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 3430,3034 By Matching Biggest Common Factor Method

Now, list down the factors of 3430

1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430

Now, list down the factors of 3034

1,2,37,41,74,82,1517,3034

Greatest Common Factor

We found the factors 3430,3034 . The biggest common factor number is the GCF number.
So the greatest common factor 3430,3034 is 2.

Lets's calculate LCM of 925,3183

Lowest Common Multiple of 925,3183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2944275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2944275

Therefore, the GCF of Fractions 3430/925,3034/3183 is 2/2944275

Least Common Multiple of 925,3183 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 925,3183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,3183) = 1

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

GCF(925,3183) x common factors =1 x 1 = 1

LCM(925,3183) = ( 925 × 3183 ) / 1

LCM(925,3183) = 2944275 / 1

LCM(925,3183) = 2944275

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3430/925, 3034/3183

1. What is the HCF of 3430,3034?

The HCF of 3430,3034 is 2

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 3430/925, 3034/3183?

Answer: GCF of Numerators as per given numbers 3430/925, 3034/3183 is

GCF of Numerators i.e. for 3430,3034 is 2

LCM of denominators i.e. for 925,3183 is 2944275.

Thus, GCF of Fractions is 2/2944275.Finally, GCF of Fractions for 3430/925, 3034/3183 is 2/2944275.