How to Find GCF of 3986/554, 4146/6333?

GCF of 3986/554, 4146/6333

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 3986/554, 4146/6333 i.e 2/3508482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3986/554, 4146/6333.

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 3986/554,4146/6333?

Given fractions are 3986/554,4146/6333

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 3986/554,4146/6333, numerators are 3986,4146

Denominators are 554,6333

The GCF of 3986,4146 is 2 .

LCM of 554,6333 is 3508482.

The greatest common factor of 3986/554,4146/6333 = [GCF of 3986,4146]/[LCM of 554,6333]= 2/3508482

Therefore, the GCF of 3986/554,4146/6333 is 2/3508482.

Greatest Common Factor of 3986,4146

To find the highest common factor of 3986,4146, we have to find the factors of both numbers and list the highest common factor.

The factors of 3986 are 1, 2, 1993, 3986

The factors of 4146 are 1, 2, 3, 6, 691, 1382, 2073, 4146

The HCF of 3986,4146 is 2.

Lets's calculate GCF of 3986,4146

Greatest Common Factor (GCF) of 3986,4146 By Common Division

2	3986, 4146
	1993, 2073

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

Greatest Common Factor of 3986,4146 By Matching Biggest Common Factor Method

Now, list down the factors of 3986

1,2,1993,3986

Now, list down the factors of 4146

1,2,3,6,691,1382,2073,4146

Greatest Common Factor

We found the factors 3986,4146 . The biggest common factor number is the GCF number.
So the greatest common factor 3986,4146 is 2.

Lets's calculate LCM of 554,6333

Lowest Common Multiple of 554,6333 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3508482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3508482

Therefore, the GCF of Fractions 3986/554,4146/6333 is 2/3508482

Least Common Multiple of 554,6333 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 554,6333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,6333) = 1

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

GCF(554,6333) x common factors =1 x 1 = 1

LCM(554,6333) = ( 554 × 6333 ) / 1

LCM(554,6333) = 3508482 / 1

LCM(554,6333) = 3508482

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FAQs on GCF of Fractions of 3986/554, 4146/6333

1. What is the HCF of 3986,4146?

The HCF of 3986,4146 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 3986/554, 4146/6333?

Answer: GCF of Numerators as per given numbers 3986/554, 4146/6333 is

GCF of Numerators i.e. for 3986,4146 is 2

LCM of denominators i.e. for 554,6333 is 3508482.

Thus, GCF of Fractions is 2/3508482.Finally, GCF of Fractions for 3986/554, 4146/6333 is 2/3508482.