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GCF of 176/61, 474/923

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 176/61, 474/923 i.e 2/56303 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/61, 474/923.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 176/61,474/923?

Given fractions are 176/61,474/923

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 176/61,474/923, numerators are 176,474

Denominators are 61,923

The GCF of 176,474 is 2 .

LCM of 61,923 is 56303.

The greatest common factor of 176/61,474/923 = [GCF of 176,474]/[LCM of 61,923]= 2/56303

Therefore, the GCF of 176/61,474/923 is 2/56303.

Greatest Common Factor of 176,474

To find the highest common factor of 176,474, 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 474 are 1, 2, 3, 6, 79, 158, 237, 474

The HCF of 176,474 is 2.

Lets's calculate GCF of 176,474

Greatest Common Factor (GCF) of 176,474 By Common Division

2 176, 474
88, 237

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

Greatest Common Factor of 176,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,474 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 474

:

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 176,474 . The biggest common factor number is the GCF number.
So the greatest common factor 176,474 is 2.

Lets's calculate LCM of 61,923

Lowest Common Multiple of 61,923 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56303

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/56303

Therefore, the GCF of Fractions 176/61,474/923 is 2/56303

Least Common Multiple of 61,923 with GCF Formula

Least Common Multiple of 61,923 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 61,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,923) = 1

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

GCF(61,923) x common factors =1 x 1 = 1

LCM(61,923) = ( 61 × 923 ) / 1

LCM(61,923) = 56303 / 1

LCM(61,923) = 56303


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FAQs on GCF of Fractions of 176/61, 474/923

1. What is the HCF of 176,474?

The HCF of 176,474 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 176/61, 474/923?

Answer: GCF of Numerators as per given numbers 176/61, 474/923 is

GCF of Numerators i.e. for 176,474 is 2

LCM of denominators i.e. for 61,923 is 56303.

Thus, GCF of Fractions is 2/56303.Finally, GCF of Fractions for 176/61, 474/923 is 2/56303.