How to Find GCF of 374/333, 704/733?

GCF of 374/333, 704/733

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 374/333, 704/733 i.e 22/244089 easily. The following is the detailed procedure to determine the greatest common factor of fractions 374/333, 704/733.

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 374/333,704/733?

Given fractions are 374/333,704/733

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 374/333,704/733, numerators are 374,704

Denominators are 333,733

The GCF of 374,704 is 22 .

LCM of 333,733 is 244089.

The greatest common factor of 374/333,704/733 = [GCF of 374,704]/[LCM of 333,733]= 22/244089

Therefore, the GCF of 374/333,704/733 is 22/244089.

Greatest Common Factor of 374,704

To find the highest common factor of 374,704, we have to find the factors of both numbers and list the highest common factor.

The factors of 374 are 1, 2, 11, 17, 22, 34, 187, 374

The factors of 704 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

The HCF of 374,704 is 22.

Lets's calculate GCF of 374,704

Greatest Common Factor (GCF) of 374,704 By Common Division

2	374, 704
11	187, 352
	17, 32

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 374,704 By Matching Biggest Common Factor Method

Now, list down the factors of 374

1,2,11,17,22,34,187,374

Now, list down the factors of 704

1,2,4,8,11,16,22,32,44,64,88,176,352,704

Greatest Common Factor

We found the factors 374,704 . The biggest common factor number is the GCF number.
So the greatest common factor 374,704 is 22.

Lets's calculate LCM of 333,733

Lowest Common Multiple of 333,733 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 244089

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/244089

Therefore, the GCF of Fractions 374/333,704/733 is 22/244089

Least Common Multiple of 333,733 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 333,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(333,733) = 1

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

GCF(333,733) x common factors =1 x 1 = 1

LCM(333,733) = ( 333 × 733 ) / 1

LCM(333,733) = 244089 / 1

LCM(333,733) = 244089

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FAQs on GCF of Fractions of 374/333, 704/733

1. What is the HCF of 374,704?

The HCF of 374,704 is 22

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 374/333, 704/733?

Answer: GCF of Numerators as per given numbers 374/333, 704/733 is

GCF of Numerators i.e. for 374,704 is 22

LCM of denominators i.e. for 333,733 is 244089.

Thus, GCF of Fractions is 22/244089.Finally, GCF of Fractions for 374/333, 704/733 is 22/244089.