How to Find GCF of 850/480, 5399/4008?

GCF of 850/480, 5399/4008

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 850/480, 5399/4008 i.e 1/80160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/480, 5399/4008.

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 850/480,5399/4008?

Given fractions are 850/480,5399/4008

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 850/480,5399/4008, numerators are 850,5399

Denominators are 480,4008

The GCF of 850,5399 is 1 .

LCM of 480,4008 is 80160.

The greatest common factor of 850/480,5399/4008 = [GCF of 850,5399]/[LCM of 480,4008]= 1/80160

Therefore, the GCF of 850/480,5399/4008 is 1/80160.

Greatest Common Factor of 850,5399

To find the highest common factor of 850,5399, we have to find the factors of both numbers and list the highest common factor.

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The factors of 5399 are 1, 5399

The HCF of 850,5399 is 1.

Lets's calculate GCF of 850,5399

Greatest Common Factor (GCF) of 850,5399 By Common Division

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

Greatest Common Factor of 850,5399 By Matching Biggest Common Factor Method

Now, list down the factors of 850

1,2,5,10,17,25,34,50,85,170,425,850

Now, list down the factors of 5399

1,5399

Greatest Common Factor

We found the factors 850,5399 . The biggest common factor number is the GCF number.
So the greatest common factor 850,5399 is 1.

Lets's calculate LCM of 480,4008

Lowest Common Multiple of 480,4008 using Common Division

2	480, 4008
2	240, 2004
2	120, 1002
3	60, 501
	20, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 20 x 167 = 80160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80160

Therefore, the GCF of Fractions 850/480,5399/4008 is 1/80160

Least Common Multiple of 480,4008 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 480,4008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,4008) = 24

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

GCF(480,4008) x common factors =24 x 1 = 24

LCM(480,4008) = ( 480 × 4008 ) / 24

LCM(480,4008) = 1923840 / 24

LCM(480,4008) = 80160

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FAQs on GCF of Fractions of 850/480, 5399/4008

1. What is the HCF of 850,5399?

The HCF of 850,5399 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 850/480, 5399/4008?

Answer: GCF of Numerators as per given numbers 850/480, 5399/4008 is

GCF of Numerators i.e. for 850,5399 is 1

LCM of denominators i.e. for 480,4008 is 80160.

Thus, GCF of Fractions is 1/80160.Finally, GCF of Fractions for 850/480, 5399/4008 is 1/80160.