How to Find GCF of 704/307, 287/162?

GCF of 704/307, 287/162

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 704/307, 287/162 i.e 1/49734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 704/307, 287/162.

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 704/307,287/162?

Given fractions are 704/307,287/162

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 704/307,287/162, numerators are 704,287

Denominators are 307,162

The GCF of 704,287 is 1 .

LCM of 307,162 is 49734.

The greatest common factor of 704/307,287/162 = [GCF of 704,287]/[LCM of 307,162]= 1/49734

Therefore, the GCF of 704/307,287/162 is 1/49734.

Greatest Common Factor of 704,287

To find the highest common factor of 704,287, we have to find the factors of both numbers and list the highest common factor.

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

The factors of 287 are 1, 7, 41, 287

The HCF of 704,287 is 1.

Lets's calculate GCF of 704,287

Greatest Common Factor (GCF) of 704,287 By Common Division

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

Greatest Common Factor of 704,287 By Matching Biggest Common Factor Method

Now, list down the factors of 704

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Now, list down the factors of 287

1,7,41,287

Greatest Common Factor

We found the factors 704,287 . The biggest common factor number is the GCF number.
So the greatest common factor 704,287 is 1.

Lets's calculate LCM of 307,162

Lowest Common Multiple of 307,162 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 49734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49734

Therefore, the GCF of Fractions 704/307,287/162 is 1/49734

Least Common Multiple of 307,162 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 307,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(307,162) = 1

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

GCF(307,162) x common factors =1 x 1 = 1

LCM(307,162) = ( 307 × 162 ) / 1

LCM(307,162) = 49734 / 1

LCM(307,162) = 49734

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FAQs on GCF of Fractions of 704/307, 287/162

1. What is the HCF of 704,287?

The HCF of 704,287 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 704/307, 287/162?

Answer: GCF of Numerators as per given numbers 704/307, 287/162 is

GCF of Numerators i.e. for 704,287 is 1

LCM of denominators i.e. for 307,162 is 49734.

Thus, GCF of Fractions is 1/49734.Finally, GCF of Fractions for 704/307, 287/162 is 1/49734.