How to Find GCF of 4805/292, 6142/2044?

GCF of 4805/292, 6142/2044

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 4805/292, 6142/2044 i.e 1/2044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4805/292, 6142/2044.

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 4805/292,6142/2044?

Given fractions are 4805/292,6142/2044

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 4805/292,6142/2044, numerators are 4805,6142

Denominators are 292,2044

The GCF of 4805,6142 is 1 .

LCM of 292,2044 is 2044.

The greatest common factor of 4805/292,6142/2044 = [GCF of 4805,6142]/[LCM of 292,2044]= 1/2044

Therefore, the GCF of 4805/292,6142/2044 is 1/2044.

Greatest Common Factor of 4805,6142

To find the highest common factor of 4805,6142, we have to find the factors of both numbers and list the highest common factor.

The factors of 4805 are 1, 5, 31, 155, 961, 4805

The factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142

The HCF of 4805,6142 is 1.

Lets's calculate GCF of 4805,6142

Greatest Common Factor (GCF) of 4805,6142 By Common Division

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

Greatest Common Factor of 4805,6142 By Matching Biggest Common Factor Method

Now, list down the factors of 4805

1,5,31,155,961,4805

Now, list down the factors of 6142

1,2,37,74,83,166,3071,6142

Greatest Common Factor

We found the factors 4805,6142 . The biggest common factor number is the GCF number.
So the greatest common factor 4805,6142 is 1.

Lets's calculate LCM of 292,2044

Lowest Common Multiple of 292,2044 using Common Division

2	292, 2044
2	146, 1022
73	73, 511
	1, 7

∴ So the LCM of the given numbers is 2 x 2 x 73 x 1 x 7 = 2044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2044

Therefore, the GCF of Fractions 4805/292,6142/2044 is 1/2044

Least Common Multiple of 292,2044 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 292,2044 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,2044) = 292

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

GCF(292,2044) x common factors =292 x 1 = 292

LCM(292,2044) = ( 292 × 2044 ) / 292

LCM(292,2044) = 596848 / 292

LCM(292,2044) = 2044

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FAQs on GCF of Fractions of 4805/292, 6142/2044

1. What is the HCF of 4805,6142?

The HCF of 4805,6142 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 4805/292, 6142/2044?

Answer: GCF of Numerators as per given numbers 4805/292, 6142/2044 is

GCF of Numerators i.e. for 4805,6142 is 1

LCM of denominators i.e. for 292,2044 is 2044.

Thus, GCF of Fractions is 1/2044.Finally, GCF of Fractions for 4805/292, 6142/2044 is 1/2044.