How to Find GCF of 176/253, 7304/576?

GCF of 176/253, 7304/576

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 176/253, 7304/576 i.e 88/145728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/253, 7304/576.

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 176/253,7304/576?

Given fractions are 176/253,7304/576

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 176/253,7304/576, numerators are 176,7304

Denominators are 253,576

The GCF of 176,7304 is 88 .

LCM of 253,576 is 145728.

The greatest common factor of 176/253,7304/576 = [GCF of 176,7304]/[LCM of 253,576]= 88/145728

Therefore, the GCF of 176/253,7304/576 is 88/145728.

Greatest Common Factor of 176,7304

To find the highest common factor of 176,7304, we have to find the factors of both numbers and list the highest common factor.

The factors of 176 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 176

The factors of 7304 are 1, 2, 4, 8, 11, 22, 44, 83, 88, 166, 332, 664, 913, 1826, 3652, 7304

The HCF of 176,7304 is 88.

Lets's calculate GCF of 176,7304

Greatest Common Factor (GCF) of 176,7304 By Common Division

2	176, 7304
2	88, 3652
2	44, 1826
11	22, 913
	2, 83

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Greatest Common Factor of 176,7304 By Matching Biggest Common Factor Method

Now, list down the factors of 176

1,2,4,8,11,16,22,44,88,176

Now, list down the factors of 7304

1,2,4,8,11,22,44,83,88,166,332,664,913,1826,3652,7304

Greatest Common Factor

We found the factors 176,7304 . The biggest common factor number is the GCF number.
So the greatest common factor 176,7304 is 88.

Lets's calculate LCM of 253,576

Lowest Common Multiple of 253,576 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 145728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 88/145728

Therefore, the GCF of Fractions 176/253,7304/576 is 88/145728

Least Common Multiple of 253,576 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 253,576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,576) = 1

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

GCF(253,576) x common factors =1 x 1 = 1

LCM(253,576) = ( 253 × 576 ) / 1

LCM(253,576) = 145728 / 1

LCM(253,576) = 145728

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FAQs on GCF of Fractions of 176/253, 7304/576

1. What is the HCF of 176,7304?

The HCF of 176,7304 is 88

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 176/253, 7304/576?

Answer: GCF of Numerators as per given numbers 176/253, 7304/576 is

GCF of Numerators i.e. for 176,7304 is 88

LCM of denominators i.e. for 253,576 is 145728.

Thus, GCF of Fractions is 88/145728.Finally, GCF of Fractions for 176/253, 7304/576 is 88/145728.