How to Find GCF of 6674/673, 3448/8421?

GCF of 6674/673, 3448/8421

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 6674/673, 3448/8421 i.e 2/5667333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6674/673, 3448/8421.

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 6674/673,3448/8421?

Given fractions are 6674/673,3448/8421

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 6674/673,3448/8421, numerators are 6674,3448

Denominators are 673,8421

The GCF of 6674,3448 is 2 .

LCM of 673,8421 is 5667333.

The greatest common factor of 6674/673,3448/8421 = [GCF of 6674,3448]/[LCM of 673,8421]= 2/5667333

Therefore, the GCF of 6674/673,3448/8421 is 2/5667333.

Greatest Common Factor of 6674,3448

To find the highest common factor of 6674,3448, we have to find the factors of both numbers and list the highest common factor.

The factors of 6674 are 1, 2, 47, 71, 94, 142, 3337, 6674

The factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448

The HCF of 6674,3448 is 2.

Lets's calculate GCF of 6674,3448

Greatest Common Factor (GCF) of 6674,3448 By Common Division

2	6674, 3448
	3337, 1724

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

Greatest Common Factor of 6674,3448 By Matching Biggest Common Factor Method

Now, list down the factors of 6674

1,2,47,71,94,142,3337,6674

Now, list down the factors of 3448

1,2,4,8,431,862,1724,3448

Greatest Common Factor

We found the factors 6674,3448 . The biggest common factor number is the GCF number.
So the greatest common factor 6674,3448 is 2.

Lets's calculate LCM of 673,8421

Lowest Common Multiple of 673,8421 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5667333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5667333

Therefore, the GCF of Fractions 6674/673,3448/8421 is 2/5667333

Least Common Multiple of 673,8421 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 673,8421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,8421) = 1

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

GCF(673,8421) x common factors =1 x 1 = 1

LCM(673,8421) = ( 673 × 8421 ) / 1

LCM(673,8421) = 5667333 / 1

LCM(673,8421) = 5667333

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FAQs on GCF of Fractions of 6674/673, 3448/8421

1. What is the HCF of 6674,3448?

The HCF of 6674,3448 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 6674/673, 3448/8421?

Answer: GCF of Numerators as per given numbers 6674/673, 3448/8421 is

GCF of Numerators i.e. for 6674,3448 is 2

LCM of denominators i.e. for 673,8421 is 5667333.

Thus, GCF of Fractions is 2/5667333.Finally, GCF of Fractions for 6674/673, 3448/8421 is 2/5667333.