How to Find GCF of 336/766, 176/826?

GCF of 336/766, 176/826

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 336/766, 176/826 i.e 16/316358 easily. The following is the detailed procedure to determine the greatest common factor of fractions 336/766, 176/826.

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 336/766,176/826?

Given fractions are 336/766,176/826

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 336/766,176/826, numerators are 336,176

Denominators are 766,826

The GCF of 336,176 is 16 .

LCM of 766,826 is 316358.

The greatest common factor of 336/766,176/826 = [GCF of 336,176]/[LCM of 766,826]= 16/316358

Therefore, the GCF of 336/766,176/826 is 16/316358.

Greatest Common Factor of 336,176

To find the highest common factor of 336,176, we have to find the factors of both numbers and list the highest common factor.

The factors of 336 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

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

The HCF of 336,176 is 16.

Lets's calculate GCF of 336,176

Greatest Common Factor (GCF) of 336,176 By Common Division

2	336, 176
2	168, 88
2	84, 44
2	42, 22
	21, 11

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 336,176 By Matching Biggest Common Factor Method

Now, list down the factors of 336

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Now, list down the factors of 176

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

Greatest Common Factor

We found the factors 336,176 . The biggest common factor number is the GCF number.
So the greatest common factor 336,176 is 16.

Lets's calculate LCM of 766,826

Lowest Common Multiple of 766,826 using Common Division

2	766, 826
	383, 413

∴ So the LCM of the given numbers is 2 x 383 x 413 = 316358

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/316358

Therefore, the GCF of Fractions 336/766,176/826 is 16/316358

Least Common Multiple of 766,826 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 766,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,826) = 2

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

GCF(766,826) x common factors =2 x 1 = 2

LCM(766,826) = ( 766 × 826 ) / 2

LCM(766,826) = 632716 / 2

LCM(766,826) = 316358

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FAQs on GCF of Fractions of 336/766, 176/826

1. What is the HCF of 336,176?

The HCF of 336,176 is 16

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 336/766, 176/826?

Answer: GCF of Numerators as per given numbers 336/766, 176/826 is

GCF of Numerators i.e. for 336,176 is 16

LCM of denominators i.e. for 766,826 is 316358.

Thus, GCF of Fractions is 16/316358.Finally, GCF of Fractions for 336/766, 176/826 is 16/316358.