How to Find GCF of 332/328, 5322/5692?

GCF of 332/328, 5322/5692

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 332/328, 5322/5692 i.e 2/466744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 332/328, 5322/5692.

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 332/328,5322/5692?

Given fractions are 332/328,5322/5692

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 332/328,5322/5692, numerators are 332,5322

Denominators are 328,5692

The GCF of 332,5322 is 2 .

LCM of 328,5692 is 466744.

The greatest common factor of 332/328,5322/5692 = [GCF of 332,5322]/[LCM of 328,5692]= 2/466744

Therefore, the GCF of 332/328,5322/5692 is 2/466744.

Greatest Common Factor of 332,5322

To find the highest common factor of 332,5322, we have to find the factors of both numbers and list the highest common factor.

The factors of 332 are 1, 2, 4, 83, 166, 332

The factors of 5322 are 1, 2, 3, 6, 887, 1774, 2661, 5322

The HCF of 332,5322 is 2.

Lets's calculate GCF of 332,5322

Greatest Common Factor (GCF) of 332,5322 By Common Division

2	332, 5322
	166, 2661

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

Greatest Common Factor of 332,5322 By Matching Biggest Common Factor Method

Now, list down the factors of 332

1,2,4,83,166,332

Now, list down the factors of 5322

1,2,3,6,887,1774,2661,5322

Greatest Common Factor

We found the factors 332,5322 . The biggest common factor number is the GCF number.
So the greatest common factor 332,5322 is 2.

Lets's calculate LCM of 328,5692

Lowest Common Multiple of 328,5692 using Common Division

2	328, 5692
2	164, 2846
	82, 1423

∴ So the LCM of the given numbers is 2 x 2 x 82 x 1423 = 466744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/466744

Therefore, the GCF of Fractions 332/328,5322/5692 is 2/466744

Least Common Multiple of 328,5692 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 328,5692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,5692) = 4

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

GCF(328,5692) x common factors =4 x 1 = 4

LCM(328,5692) = ( 328 × 5692 ) / 4

LCM(328,5692) = 1866976 / 4

LCM(328,5692) = 466744

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FAQs on GCF of Fractions of 332/328, 5322/5692

1. What is the HCF of 332,5322?

The HCF of 332,5322 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 332/328, 5322/5692?

Answer: GCF of Numerators as per given numbers 332/328, 5322/5692 is

GCF of Numerators i.e. for 332,5322 is 2

LCM of denominators i.e. for 328,5692 is 466744.

Thus, GCF of Fractions is 2/466744.Finally, GCF of Fractions for 332/328, 5322/5692 is 2/466744.