How to Find GCF of 1606/271, 1338/7960?

GCF of 1606/271, 1338/7960

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 1606/271, 1338/7960 i.e 2/2157160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1606/271, 1338/7960.

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 1606/271,1338/7960?

Given fractions are 1606/271,1338/7960

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 1606/271,1338/7960, numerators are 1606,1338

Denominators are 271,7960

The GCF of 1606,1338 is 2 .

LCM of 271,7960 is 2157160.

The greatest common factor of 1606/271,1338/7960 = [GCF of 1606,1338]/[LCM of 271,7960]= 2/2157160

Therefore, the GCF of 1606/271,1338/7960 is 2/2157160.

Greatest Common Factor of 1606,1338

To find the highest common factor of 1606,1338, we have to find the factors of both numbers and list the highest common factor.

The factors of 1606 are 1, 2, 11, 22, 73, 146, 803, 1606

The factors of 1338 are 1, 2, 3, 6, 223, 446, 669, 1338

The HCF of 1606,1338 is 2.

Lets's calculate GCF of 1606,1338

Greatest Common Factor (GCF) of 1606,1338 By Common Division

2	1606, 1338
	803, 669

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

Greatest Common Factor of 1606,1338 By Matching Biggest Common Factor Method

Now, list down the factors of 1606

1,2,11,22,73,146,803,1606

Now, list down the factors of 1338

1,2,3,6,223,446,669,1338

Greatest Common Factor

We found the factors 1606,1338 . The biggest common factor number is the GCF number.
So the greatest common factor 1606,1338 is 2.

Lets's calculate LCM of 271,7960

Lowest Common Multiple of 271,7960 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2157160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2157160

Therefore, the GCF of Fractions 1606/271,1338/7960 is 2/2157160

Least Common Multiple of 271,7960 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 271,7960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,7960) = 1

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

GCF(271,7960) x common factors =1 x 1 = 1

LCM(271,7960) = ( 271 × 7960 ) / 1

LCM(271,7960) = 2157160 / 1

LCM(271,7960) = 2157160

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1606/271, 1338/7960

1. What is the HCF of 1606,1338?

The HCF of 1606,1338 is 2

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 1606/271, 1338/7960?

Answer: GCF of Numerators as per given numbers 1606/271, 1338/7960 is

GCF of Numerators i.e. for 1606,1338 is 2

LCM of denominators i.e. for 271,7960 is 2157160.

Thus, GCF of Fractions is 2/2157160.Finally, GCF of Fractions for 1606/271, 1338/7960 is 2/2157160.