How to Find GCF of 2067/383, 3207/8453?

GCF of 2067/383, 3207/8453

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 2067/383, 3207/8453 i.e 3/3237499 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2067/383, 3207/8453.

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 2067/383,3207/8453?

Given fractions are 2067/383,3207/8453

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 2067/383,3207/8453, numerators are 2067,3207

Denominators are 383,8453

The GCF of 2067,3207 is 3 .

LCM of 383,8453 is 3237499.

The greatest common factor of 2067/383,3207/8453 = [GCF of 2067,3207]/[LCM of 383,8453]= 3/3237499

Therefore, the GCF of 2067/383,3207/8453 is 3/3237499.

Greatest Common Factor of 2067,3207

To find the highest common factor of 2067,3207, we have to find the factors of both numbers and list the highest common factor.

The factors of 2067 are 1, 3, 13, 39, 53, 159, 689, 2067

The factors of 3207 are 1, 3, 1069, 3207

The HCF of 2067,3207 is 3.

Lets's calculate GCF of 2067,3207

Greatest Common Factor (GCF) of 2067,3207 By Common Division

3	2067, 3207
	689, 1069

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 2067,3207 By Matching Biggest Common Factor Method

Now, list down the factors of 2067

1,3,13,39,53,159,689,2067

Now, list down the factors of 3207

1,3,1069,3207

Greatest Common Factor

We found the factors 2067,3207 . The biggest common factor number is the GCF number.
So the greatest common factor 2067,3207 is 3.

Lets's calculate LCM of 383,8453

Lowest Common Multiple of 383,8453 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3237499

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3237499

Therefore, the GCF of Fractions 2067/383,3207/8453 is 3/3237499

Least Common Multiple of 383,8453 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 383,8453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(383,8453) = 1

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

GCF(383,8453) x common factors =1 x 1 = 1

LCM(383,8453) = ( 383 × 8453 ) / 1

LCM(383,8453) = 3237499 / 1

LCM(383,8453) = 3237499

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FAQs on GCF of Fractions of 2067/383, 3207/8453

1. What is the HCF of 2067,3207?

The HCF of 2067,3207 is 3

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 2067/383, 3207/8453?

Answer: GCF of Numerators as per given numbers 2067/383, 3207/8453 is

GCF of Numerators i.e. for 2067,3207 is 3

LCM of denominators i.e. for 383,8453 is 3237499.

Thus, GCF of Fractions is 3/3237499.Finally, GCF of Fractions for 2067/383, 3207/8453 is 3/3237499.