How to Find GCF of 7314/179, 1621/3128?

GCF of 7314/179, 1621/3128

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 7314/179, 1621/3128 i.e 1/559912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7314/179, 1621/3128.

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 7314/179,1621/3128?

Given fractions are 7314/179,1621/3128

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 7314/179,1621/3128, numerators are 7314,1621

Denominators are 179,3128

The GCF of 7314,1621 is 1 .

LCM of 179,3128 is 559912.

The greatest common factor of 7314/179,1621/3128 = [GCF of 7314,1621]/[LCM of 179,3128]= 1/559912

Therefore, the GCF of 7314/179,1621/3128 is 1/559912.

Greatest Common Factor of 7314,1621

To find the highest common factor of 7314,1621, we have to find the factors of both numbers and list the highest common factor.

The factors of 7314 are 1, 2, 3, 6, 23, 46, 53, 69, 106, 138, 159, 318, 1219, 2438, 3657, 7314

The factors of 1621 are 1, 1621

The HCF of 7314,1621 is 1.

Lets's calculate GCF of 7314,1621

Greatest Common Factor (GCF) of 7314,1621 By Common Division

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

Greatest Common Factor of 7314,1621 By Matching Biggest Common Factor Method

Now, list down the factors of 7314

1,2,3,6,23,46,53,69,106,138,159,318,1219,2438,3657,7314

Now, list down the factors of 1621

1,1621

Greatest Common Factor

We found the factors 7314,1621 . The biggest common factor number is the GCF number.
So the greatest common factor 7314,1621 is 1.

Lets's calculate LCM of 179,3128

Lowest Common Multiple of 179,3128 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 559912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559912

Therefore, the GCF of Fractions 7314/179,1621/3128 is 1/559912

Least Common Multiple of 179,3128 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 179,3128 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,3128) = 1

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

GCF(179,3128) x common factors =1 x 1 = 1

LCM(179,3128) = ( 179 × 3128 ) / 1

LCM(179,3128) = 559912 / 1

LCM(179,3128) = 559912

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7314/179, 1621/3128

1. What is the HCF of 7314,1621?

The HCF of 7314,1621 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 7314/179, 1621/3128?

Answer: GCF of Numerators as per given numbers 7314/179, 1621/3128 is

GCF of Numerators i.e. for 7314,1621 is 1

LCM of denominators i.e. for 179,3128 is 559912.

Thus, GCF of Fractions is 1/559912.Finally, GCF of Fractions for 7314/179, 1621/3128 is 1/559912.