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GCF of 4768/858, 1616/5320

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 4768/858, 1616/5320 i.e 16/2282280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4768/858, 1616/5320.

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 4768/858,1616/5320?

Given fractions are 4768/858,1616/5320

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 4768/858,1616/5320, numerators are 4768,1616

Denominators are 858,5320

The GCF of 4768,1616 is 16 .

LCM of 858,5320 is 2282280.

The greatest common factor of 4768/858,1616/5320 = [GCF of 4768,1616]/[LCM of 858,5320]= 16/2282280

Therefore, the GCF of 4768/858,1616/5320 is 16/2282280.

Greatest Common Factor of 4768,1616

To find the highest common factor of 4768,1616, we have to find the factors of both numbers and list the highest common factor.

The factors of 4768 are 1, 2, 4, 8, 16, 32, 149, 298, 596, 1192, 2384, 4768

The factors of 1616 are 1, 2, 4, 8, 16, 101, 202, 404, 808, 1616

The HCF of 4768,1616 is 16.

Lets's calculate GCF of 4768,1616

Greatest Common Factor (GCF) of 4768,1616 By Common Division

2 4768, 1616
2 2384, 808
2 1192, 404
2 596, 202
298, 101

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 4768,1616 By Matching Biggest Common Factor Method

Greatest Common Factor of 4768,1616 By Matching Biggest Common Factor Method

Now, list down the factors of 4768

:

1,2,4,8,16,32,149,298,596,1192,2384,4768

Now, list down the factors of 1616

:

1,2,4,8,16,101,202,404,808,1616

Greatest Common Factor

We found the factors 4768,1616 . The biggest common factor number is the GCF number.
So the greatest common factor 4768,1616 is 16.


Lets's calculate LCM of 858,5320

Lowest Common Multiple of 858,5320 using Common Division

2 858, 5320
429, 2660

∴ So the LCM of the given numbers is 2 x 429 x 2660 = 2282280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2282280

Therefore, the GCF of Fractions 4768/858,1616/5320 is 16/2282280

Least Common Multiple of 858,5320 with GCF Formula

Least Common Multiple of 858,5320 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 858,5320 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(858,5320) = 2

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

GCF(858,5320) x common factors =2 x 1 = 2

LCM(858,5320) = ( 858 × 5320 ) / 2

LCM(858,5320) = 4564560 / 2

LCM(858,5320) = 2282280


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 4768/858, 1616/5320

1. What is the HCF of 4768,1616?

The HCF of 4768,1616 is 16

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 4768/858, 1616/5320?

Answer: GCF of Numerators as per given numbers 4768/858, 1616/5320 is

GCF of Numerators i.e. for 4768,1616 is 16

LCM of denominators i.e. for 858,5320 is 2282280.

Thus, GCF of Fractions is 16/2282280.Finally, GCF of Fractions for 4768/858, 1616/5320 is 16/2282280.