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GCF of 5468/562, 1833/160

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 5468/562, 1833/160 i.e 1/44960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5468/562, 1833/160.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 5468/562,1833/160?

Given fractions are 5468/562,1833/160

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 5468/562,1833/160, numerators are 5468,1833

Denominators are 562,160

The GCF of 5468,1833 is 1 .

LCM of 562,160 is 44960.

The greatest common factor of 5468/562,1833/160 = [GCF of 5468,1833]/[LCM of 562,160]= 1/44960

Therefore, the GCF of 5468/562,1833/160 is 1/44960.

Greatest Common Factor of 5468,1833

To find the highest common factor of 5468,1833, we have to find the factors of both numbers and list the highest common factor.

The factors of 5468 are 1, 2, 4, 1367, 2734, 5468

The factors of 1833 are 1, 3, 13, 39, 47, 141, 611, 1833

The HCF of 5468,1833 is 1.

Lets's calculate GCF of 5468,1833

Greatest Common Factor (GCF) of 5468,1833 By Common Division

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

Greatest Common Factor of 5468,1833 By Matching Biggest Common Factor Method

Greatest Common Factor of 5468,1833 By Matching Biggest Common Factor Method

Now, list down the factors of 5468

:

1,2,4,1367,2734,5468

Now, list down the factors of 1833

:

1,3,13,39,47,141,611,1833

Greatest Common Factor

We found the factors 5468,1833 . The biggest common factor number is the GCF number.
So the greatest common factor 5468,1833 is 1.

Lets's calculate LCM of 562,160

Lowest Common Multiple of 562,160 using Common Division

2 562, 160
281, 80

∴ So the LCM of the given numbers is 2 x 281 x 80 = 44960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44960

Therefore, the GCF of Fractions 5468/562,1833/160 is 1/44960

Least Common Multiple of 562,160 with GCF Formula

Least Common Multiple of 562,160 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 562,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(562,160) = 2

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

GCF(562,160) x common factors =2 x 1 = 2

LCM(562,160) = ( 562 × 160 ) / 2

LCM(562,160) = 89920 / 2

LCM(562,160) = 44960


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FAQs on GCF of Fractions of 5468/562, 1833/160

1. What is the HCF of 5468,1833?

The HCF of 5468,1833 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 5468/562, 1833/160?

Answer: GCF of Numerators as per given numbers 5468/562, 1833/160 is

GCF of Numerators i.e. for 5468,1833 is 1

LCM of denominators i.e. for 562,160 is 44960.

Thus, GCF of Fractions is 1/44960.Finally, GCF of Fractions for 5468/562, 1833/160 is 1/44960.