How to Find GCF of 14/570, 5944/6106?

GCF of 14/570, 5944/6106

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 14/570, 5944/6106 i.e 2/1740210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 14/570, 5944/6106.

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 14/570,5944/6106?

Given fractions are 14/570,5944/6106

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 14/570,5944/6106, numerators are 14,5944

Denominators are 570,6106

The GCF of 14,5944 is 2 .

LCM of 570,6106 is 1740210.

The greatest common factor of 14/570,5944/6106 = [GCF of 14,5944]/[LCM of 570,6106]= 2/1740210

Therefore, the GCF of 14/570,5944/6106 is 2/1740210.

Greatest Common Factor of 14,5944

To find the highest common factor of 14,5944, we have to find the factors of both numbers and list the highest common factor.

The factors of 14 are 1, 2, 7, 14

The factors of 5944 are 1, 2, 4, 8, 743, 1486, 2972, 5944

The HCF of 14,5944 is 2.

Lets's calculate GCF of 14,5944

Greatest Common Factor (GCF) of 14,5944 By Common Division

2	14, 5944
	7, 2972

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

Greatest Common Factor of 14,5944 By Matching Biggest Common Factor Method

Now, list down the factors of 14

1,2,7,14

Now, list down the factors of 5944

1,2,4,8,743,1486,2972,5944

Greatest Common Factor

We found the factors 14,5944 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5944 is 2.

Lets's calculate LCM of 570,6106

Lowest Common Multiple of 570,6106 using Common Division

2	570, 6106
	285, 3053

∴ So the LCM of the given numbers is 2 x 285 x 3053 = 1740210

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1740210

Therefore, the GCF of Fractions 14/570,5944/6106 is 2/1740210

Least Common Multiple of 570,6106 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 570,6106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,6106) = 2

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

GCF(570,6106) x common factors =2 x 1 = 2

LCM(570,6106) = ( 570 × 6106 ) / 2

LCM(570,6106) = 3480420 / 2

LCM(570,6106) = 1740210

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FAQs on GCF of Fractions of 14/570, 5944/6106

1. What is the HCF of 14,5944?

The HCF of 14,5944 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 14/570, 5944/6106?

Answer: GCF of Numerators as per given numbers 14/570, 5944/6106 is

GCF of Numerators i.e. for 14,5944 is 2

LCM of denominators i.e. for 570,6106 is 1740210.

Thus, GCF of Fractions is 2/1740210.Finally, GCF of Fractions for 14/570, 5944/6106 is 2/1740210.