How to Find GCF of 6698/606, 4754/3804?

GCF of 6698/606, 4754/3804

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 6698/606, 4754/3804 i.e 2/384204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6698/606, 4754/3804.

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 6698/606,4754/3804?

Given fractions are 6698/606,4754/3804

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 6698/606,4754/3804, numerators are 6698,4754

Denominators are 606,3804

The GCF of 6698,4754 is 2 .

LCM of 606,3804 is 384204.

The greatest common factor of 6698/606,4754/3804 = [GCF of 6698,4754]/[LCM of 606,3804]= 2/384204

Therefore, the GCF of 6698/606,4754/3804 is 2/384204.

Greatest Common Factor of 6698,4754

To find the highest common factor of 6698,4754, we have to find the factors of both numbers and list the highest common factor.

The factors of 6698 are 1, 2, 17, 34, 197, 394, 3349, 6698

The factors of 4754 are 1, 2, 2377, 4754

The HCF of 6698,4754 is 2.

Lets's calculate GCF of 6698,4754

Greatest Common Factor (GCF) of 6698,4754 By Common Division

2	6698, 4754
	3349, 2377

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

Greatest Common Factor of 6698,4754 By Matching Biggest Common Factor Method

Now, list down the factors of 6698

1,2,17,34,197,394,3349,6698

Now, list down the factors of 4754

1,2,2377,4754

Greatest Common Factor

We found the factors 6698,4754 . The biggest common factor number is the GCF number.
So the greatest common factor 6698,4754 is 2.

Lets's calculate LCM of 606,3804

Lowest Common Multiple of 606,3804 using Common Division

2	606, 3804
3	303, 1902
	101, 634

∴ So the LCM of the given numbers is 2 x 3 x 101 x 634 = 384204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/384204

Therefore, the GCF of Fractions 6698/606,4754/3804 is 2/384204

Least Common Multiple of 606,3804 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 606,3804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,3804) = 6

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

GCF(606,3804) x common factors =6 x 1 = 6

LCM(606,3804) = ( 606 × 3804 ) / 6

LCM(606,3804) = 2305224 / 6

LCM(606,3804) = 384204

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6698/606, 4754/3804

1. What is the HCF of 6698,4754?

The HCF of 6698,4754 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 6698/606, 4754/3804?

Answer: GCF of Numerators as per given numbers 6698/606, 4754/3804 is

GCF of Numerators i.e. for 6698,4754 is 2

LCM of denominators i.e. for 606,3804 is 384204.

Thus, GCF of Fractions is 2/384204.Finally, GCF of Fractions for 6698/606, 4754/3804 is 2/384204.