How to Find GCF of 6821/934, 4123/8933?

GCF of 6821/934, 4123/8933

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 6821/934, 4123/8933 i.e 19/8343422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6821/934, 4123/8933.

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 6821/934,4123/8933?

Given fractions are 6821/934,4123/8933

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 6821/934,4123/8933, numerators are 6821,4123

Denominators are 934,8933

The GCF of 6821,4123 is 19 .

LCM of 934,8933 is 8343422.

The greatest common factor of 6821/934,4123/8933 = [GCF of 6821,4123]/[LCM of 934,8933]= 19/8343422

Therefore, the GCF of 6821/934,4123/8933 is 19/8343422.

Greatest Common Factor of 6821,4123

To find the highest common factor of 6821,4123, we have to find the factors of both numbers and list the highest common factor.

The factors of 6821 are 1, 19, 359, 6821

The factors of 4123 are 1, 7, 19, 31, 133, 217, 589, 4123

The HCF of 6821,4123 is 19.

Lets's calculate GCF of 6821,4123

Greatest Common Factor (GCF) of 6821,4123 By Common Division

19	6821, 4123
	359, 217

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 6821,4123 By Matching Biggest Common Factor Method

Now, list down the factors of 6821

1,19,359,6821

Now, list down the factors of 4123

1,7,19,31,133,217,589,4123

Greatest Common Factor

We found the factors 6821,4123 . The biggest common factor number is the GCF number.
So the greatest common factor 6821,4123 is 19.

Lets's calculate LCM of 934,8933

Lowest Common Multiple of 934,8933 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8343422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/8343422

Therefore, the GCF of Fractions 6821/934,4123/8933 is 19/8343422

Least Common Multiple of 934,8933 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 934,8933 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(934,8933) = 1

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

GCF(934,8933) x common factors =1 x 1 = 1

LCM(934,8933) = ( 934 × 8933 ) / 1

LCM(934,8933) = 8343422 / 1

LCM(934,8933) = 8343422

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FAQs on GCF of Fractions of 6821/934, 4123/8933

1. What is the HCF of 6821,4123?

The HCF of 6821,4123 is 19

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 6821/934, 4123/8933?

Answer: GCF of Numerators as per given numbers 6821/934, 4123/8933 is

GCF of Numerators i.e. for 6821,4123 is 19

LCM of denominators i.e. for 934,8933 is 8343422.

Thus, GCF of Fractions is 19/8343422.Finally, GCF of Fractions for 6821/934, 4123/8933 is 19/8343422.