How to Find GCF of 6050/394, 3058/182?

GCF of 6050/394, 3058/182

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 6050/394, 3058/182 i.e 22/35854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6050/394, 3058/182.

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 6050/394,3058/182?

Given fractions are 6050/394,3058/182

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 6050/394,3058/182, numerators are 6050,3058

Denominators are 394,182

The GCF of 6050,3058 is 22 .

LCM of 394,182 is 35854.

The greatest common factor of 6050/394,3058/182 = [GCF of 6050,3058]/[LCM of 394,182]= 22/35854

Therefore, the GCF of 6050/394,3058/182 is 22/35854.

Greatest Common Factor of 6050,3058

To find the highest common factor of 6050,3058, we have to find the factors of both numbers and list the highest common factor.

The factors of 6050 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 121, 242, 275, 550, 605, 1210, 3025, 6050

The factors of 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058

The HCF of 6050,3058 is 22.

Lets's calculate GCF of 6050,3058

Greatest Common Factor (GCF) of 6050,3058 By Common Division

2	6050, 3058
11	3025, 1529
	275, 139

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 6050,3058 By Matching Biggest Common Factor Method

Now, list down the factors of 6050

1,2,5,10,11,22,25,50,55,110,121,242,275,550,605,1210,3025,6050

Now, list down the factors of 3058

1,2,11,22,139,278,1529,3058

Greatest Common Factor

We found the factors 6050,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 6050,3058 is 22.

Lets's calculate LCM of 394,182

Lowest Common Multiple of 394,182 using Common Division

2	394, 182
	197, 91

∴ So the LCM of the given numbers is 2 x 197 x 91 = 35854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/35854

Therefore, the GCF of Fractions 6050/394,3058/182 is 22/35854

Least Common Multiple of 394,182 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 394,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(394,182) = 2

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

GCF(394,182) x common factors =2 x 1 = 2

LCM(394,182) = ( 394 × 182 ) / 2

LCM(394,182) = 71708 / 2

LCM(394,182) = 35854

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FAQs on GCF of Fractions of 6050/394, 3058/182

1. What is the HCF of 6050,3058?

The HCF of 6050,3058 is 22

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 6050/394, 3058/182?

Answer: GCF of Numerators as per given numbers 6050/394, 3058/182 is

GCF of Numerators i.e. for 6050,3058 is 22

LCM of denominators i.e. for 394,182 is 35854.

Thus, GCF of Fractions is 22/35854.Finally, GCF of Fractions for 6050/394, 3058/182 is 22/35854.