How to Find GCF of 6007/160, 1090/4008?

GCF of 6007/160, 1090/4008

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 6007/160, 1090/4008 i.e 1/80160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6007/160, 1090/4008.

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 6007/160,1090/4008?

Given fractions are 6007/160,1090/4008

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 6007/160,1090/4008, numerators are 6007,1090

Denominators are 160,4008

The GCF of 6007,1090 is 1 .

LCM of 160,4008 is 80160.

The greatest common factor of 6007/160,1090/4008 = [GCF of 6007,1090]/[LCM of 160,4008]= 1/80160

Therefore, the GCF of 6007/160,1090/4008 is 1/80160.

Greatest Common Factor of 6007,1090

To find the highest common factor of 6007,1090, we have to find the factors of both numbers and list the highest common factor.

The factors of 6007 are 1, 6007

The factors of 1090 are 1, 2, 5, 10, 109, 218, 545, 1090

The HCF of 6007,1090 is 1.

Lets's calculate GCF of 6007,1090

Greatest Common Factor (GCF) of 6007,1090 By Common Division

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

Greatest Common Factor of 6007,1090 By Matching Biggest Common Factor Method

Now, list down the factors of 6007

1,6007

Now, list down the factors of 1090

1,2,5,10,109,218,545,1090

Greatest Common Factor

We found the factors 6007,1090 . The biggest common factor number is the GCF number.
So the greatest common factor 6007,1090 is 1.

Lets's calculate LCM of 160,4008

Lowest Common Multiple of 160,4008 using Common Division

2	160, 4008
2	80, 2004
2	40, 1002
	20, 501

∴ So the LCM of the given numbers is 2 x 2 x 2 x 20 x 501 = 80160

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

Therefore, the GCF of Fractions 6007/160,1090/4008 is 1/80160

Least Common Multiple of 160,4008 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 160,4008 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,4008) = 8

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

GCF(160,4008) x common factors =8 x 1 = 8

LCM(160,4008) = ( 160 × 4008 ) / 8

LCM(160,4008) = 641280 / 8

LCM(160,4008) = 80160

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FAQs on GCF of Fractions of 6007/160, 1090/4008

1. What is the HCF of 6007,1090?

The HCF of 6007,1090 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 6007/160, 1090/4008?

Answer: GCF of Numerators as per given numbers 6007/160, 1090/4008 is

GCF of Numerators i.e. for 6007,1090 is 1

LCM of denominators i.e. for 160,4008 is 80160.

Thus, GCF of Fractions is 1/80160.Finally, GCF of Fractions for 6007/160, 1090/4008 is 1/80160.