How to Find GCF of 3094/320, 3454/9033?

GCF of 3094/320, 3454/9033

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 3094/320, 3454/9033 i.e 2/2890560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3094/320, 3454/9033.

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 3094/320,3454/9033?

Given fractions are 3094/320,3454/9033

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 3094/320,3454/9033, numerators are 3094,3454

Denominators are 320,9033

The GCF of 3094,3454 is 2 .

LCM of 320,9033 is 2890560.

The greatest common factor of 3094/320,3454/9033 = [GCF of 3094,3454]/[LCM of 320,9033]= 2/2890560

Therefore, the GCF of 3094/320,3454/9033 is 2/2890560.

Greatest Common Factor of 3094,3454

To find the highest common factor of 3094,3454, we have to find the factors of both numbers and list the highest common factor.

The factors of 3094 are 1, 2, 7, 13, 14, 17, 26, 34, 91, 119, 182, 221, 238, 442, 1547, 3094

The factors of 3454 are 1, 2, 11, 22, 157, 314, 1727, 3454

The HCF of 3094,3454 is 2.

Lets's calculate GCF of 3094,3454

Greatest Common Factor (GCF) of 3094,3454 By Common Division

2	3094, 3454
	1547, 1727

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

Greatest Common Factor of 3094,3454 By Matching Biggest Common Factor Method

Now, list down the factors of 3094

1,2,7,13,14,17,26,34,91,119,182,221,238,442,1547,3094

Now, list down the factors of 3454

1,2,11,22,157,314,1727,3454

Greatest Common Factor

We found the factors 3094,3454 . The biggest common factor number is the GCF number.
So the greatest common factor 3094,3454 is 2.

Lets's calculate LCM of 320,9033

Lowest Common Multiple of 320,9033 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2890560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2890560

Therefore, the GCF of Fractions 3094/320,3454/9033 is 2/2890560

Least Common Multiple of 320,9033 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 320,9033 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,9033) = 1

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

GCF(320,9033) x common factors =1 x 1 = 1

LCM(320,9033) = ( 320 × 9033 ) / 1

LCM(320,9033) = 2890560 / 1

LCM(320,9033) = 2890560

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FAQs on GCF of Fractions of 3094/320, 3454/9033

1. What is the HCF of 3094,3454?

The HCF of 3094,3454 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 3094/320, 3454/9033?

Answer: GCF of Numerators as per given numbers 3094/320, 3454/9033 is

GCF of Numerators i.e. for 3094,3454 is 2

LCM of denominators i.e. for 320,9033 is 2890560.

Thus, GCF of Fractions is 2/2890560.Finally, GCF of Fractions for 3094/320, 3454/9033 is 2/2890560.