How to Find GCF of 6023/942, 6032/5158?

GCF of 6023/942, 6032/5158

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 6023/942, 6032/5158 i.e 1/2429418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6023/942, 6032/5158.

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 6023/942,6032/5158?

Given fractions are 6023/942,6032/5158

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 6023/942,6032/5158, numerators are 6023,6032

Denominators are 942,5158

The GCF of 6023,6032 is 1 .

LCM of 942,5158 is 2429418.

The greatest common factor of 6023/942,6032/5158 = [GCF of 6023,6032]/[LCM of 942,5158]= 1/2429418

Therefore, the GCF of 6023/942,6032/5158 is 1/2429418.

Greatest Common Factor of 6023,6032

To find the highest common factor of 6023,6032, we have to find the factors of both numbers and list the highest common factor.

The factors of 6023 are 1, 19, 317, 6023

The factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032

The HCF of 6023,6032 is 1.

Lets's calculate GCF of 6023,6032

Greatest Common Factor (GCF) of 6023,6032 By Common Division

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

Greatest Common Factor of 6023,6032 By Matching Biggest Common Factor Method

Now, list down the factors of 6023

1,19,317,6023

Now, list down the factors of 6032

1,2,4,8,13,16,26,29,52,58,104,116,208,232,377,464,754,1508,3016,6032

Greatest Common Factor

We found the factors 6023,6032 . The biggest common factor number is the GCF number.
So the greatest common factor 6023,6032 is 1.

Lets's calculate LCM of 942,5158

Lowest Common Multiple of 942,5158 using Common Division

2	942, 5158
	471, 2579

∴ So the LCM of the given numbers is 2 x 471 x 2579 = 2429418

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2429418

Therefore, the GCF of Fractions 6023/942,6032/5158 is 1/2429418

Least Common Multiple of 942,5158 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 942,5158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,5158) = 2

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

GCF(942,5158) x common factors =2 x 1 = 2

LCM(942,5158) = ( 942 × 5158 ) / 2

LCM(942,5158) = 4858836 / 2

LCM(942,5158) = 2429418

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6023/942, 6032/5158

1. What is the HCF of 6023,6032?

The HCF of 6023,6032 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 6023/942, 6032/5158?

Answer: GCF of Numerators as per given numbers 6023/942, 6032/5158 is

GCF of Numerators i.e. for 6023,6032 is 1

LCM of denominators i.e. for 942,5158 is 2429418.

Thus, GCF of Fractions is 1/2429418.Finally, GCF of Fractions for 6023/942, 6032/5158 is 1/2429418.