How to Find GCF of 3134/544, 3419/404?

GCF of 3134/544, 3419/404

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 3134/544, 3419/404 i.e 1/54944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3134/544, 3419/404.

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 3134/544,3419/404?

Given fractions are 3134/544,3419/404

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 3134/544,3419/404, numerators are 3134,3419

Denominators are 544,404

The GCF of 3134,3419 is 1 .

LCM of 544,404 is 54944.

The greatest common factor of 3134/544,3419/404 = [GCF of 3134,3419]/[LCM of 544,404]= 1/54944

Therefore, the GCF of 3134/544,3419/404 is 1/54944.

Greatest Common Factor of 3134,3419

To find the highest common factor of 3134,3419, we have to find the factors of both numbers and list the highest common factor.

The factors of 3134 are 1, 2, 1567, 3134

The factors of 3419 are 1, 13, 263, 3419

The HCF of 3134,3419 is 1.

Lets's calculate GCF of 3134,3419

Greatest Common Factor (GCF) of 3134,3419 By Common Division

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

Greatest Common Factor of 3134,3419 By Matching Biggest Common Factor Method

Now, list down the factors of 3134

1,2,1567,3134

Now, list down the factors of 3419

1,13,263,3419

Greatest Common Factor

We found the factors 3134,3419 . The biggest common factor number is the GCF number.
So the greatest common factor 3134,3419 is 1.

Lets's calculate LCM of 544,404

Lowest Common Multiple of 544,404 using Common Division

2	544, 404
2	272, 202
	136, 101

∴ So the LCM of the given numbers is 2 x 2 x 136 x 101 = 54944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54944

Therefore, the GCF of Fractions 3134/544,3419/404 is 1/54944

Least Common Multiple of 544,404 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 544,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,404) = 4

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

GCF(544,404) x common factors =4 x 1 = 4

LCM(544,404) = ( 544 × 404 ) / 4

LCM(544,404) = 219776 / 4

LCM(544,404) = 54944

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FAQs on GCF of Fractions of 3134/544, 3419/404

1. What is the HCF of 3134,3419?

The HCF of 3134,3419 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 3134/544, 3419/404?

Answer: GCF of Numerators as per given numbers 3134/544, 3419/404 is

GCF of Numerators i.e. for 3134,3419 is 1

LCM of denominators i.e. for 544,404 is 54944.

Thus, GCF of Fractions is 1/54944.Finally, GCF of Fractions for 3134/544, 3419/404 is 1/54944.