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GCF of 176/446, 372/826

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 176/446, 372/826 i.e 4/184198 easily. The following is the detailed procedure to determine the greatest common factor of fractions 176/446, 372/826.

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 176/446,372/826?

Given fractions are 176/446,372/826

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 176/446,372/826, numerators are 176,372

Denominators are 446,826

The GCF of 176,372 is 4 .

LCM of 446,826 is 184198.

The greatest common factor of 176/446,372/826 = [GCF of 176,372]/[LCM of 446,826]= 4/184198

Therefore, the GCF of 176/446,372/826 is 4/184198.

Greatest Common Factor of 176,372

To find the highest common factor of 176,372, 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 372 are 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

The HCF of 176,372 is 4.

Lets's calculate GCF of 176,372

Greatest Common Factor (GCF) of 176,372 By Common Division

2 176, 372
2 88, 186
44, 93

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 176,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,372 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 372

:

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 176,372 . The biggest common factor number is the GCF number.
So the greatest common factor 176,372 is 4.

Lets's calculate LCM of 446,826

Lowest Common Multiple of 446,826 using Common Division

2 446, 826
223, 413

∴ So the LCM of the given numbers is 2 x 223 x 413 = 184198

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/184198

Therefore, the GCF of Fractions 176/446,372/826 is 4/184198

Least Common Multiple of 446,826 with GCF Formula

Least Common Multiple of 446,826 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 446,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(446,826) = 2

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

GCF(446,826) x common factors =2 x 1 = 2

LCM(446,826) = ( 446 × 826 ) / 2

LCM(446,826) = 368396 / 2

LCM(446,826) = 184198


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FAQs on GCF of Fractions of 176/446, 372/826

1. What is the HCF of 176,372?

The HCF of 176,372 is 4

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 176/446, 372/826?

Answer: GCF of Numerators as per given numbers 176/446, 372/826 is

GCF of Numerators i.e. for 176,372 is 4

LCM of denominators i.e. for 446,826 is 184198.

Thus, GCF of Fractions is 4/184198.Finally, GCF of Fractions for 176/446, 372/826 is 4/184198.