How to Find GCF of 3290/483, 6907/2936?

GCF of 3290/483, 6907/2936

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 3290/483, 6907/2936 i.e 1/1418088 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3290/483, 6907/2936.

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 3290/483,6907/2936?

Given fractions are 3290/483,6907/2936

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 3290/483,6907/2936, numerators are 3290,6907

Denominators are 483,2936

The GCF of 3290,6907 is 1 .

LCM of 483,2936 is 1418088.

The greatest common factor of 3290/483,6907/2936 = [GCF of 3290,6907]/[LCM of 483,2936]= 1/1418088

Therefore, the GCF of 3290/483,6907/2936 is 1/1418088.

Greatest Common Factor of 3290,6907

To find the highest common factor of 3290,6907, we have to find the factors of both numbers and list the highest common factor.

The factors of 3290 are 1, 2, 5, 7, 10, 14, 35, 47, 70, 94, 235, 329, 470, 658, 1645, 3290

The factors of 6907 are 1, 6907

The HCF of 3290,6907 is 1.

Lets's calculate GCF of 3290,6907

Greatest Common Factor (GCF) of 3290,6907 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 3290,6907 By Matching Biggest Common Factor Method

Now, list down the factors of 3290

1,2,5,7,10,14,35,47,70,94,235,329,470,658,1645,3290

Now, list down the factors of 6907

1,6907

Greatest Common Factor

We found the factors 3290,6907 . The biggest common factor number is the GCF number.
So the greatest common factor 3290,6907 is 1.

Lets's calculate LCM of 483,2936

Lowest Common Multiple of 483,2936 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1418088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1418088

Therefore, the GCF of Fractions 3290/483,6907/2936 is 1/1418088

Least Common Multiple of 483,2936 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 483,2936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,2936) = 1

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

GCF(483,2936) x common factors =1 x 1 = 1

LCM(483,2936) = ( 483 × 2936 ) / 1

LCM(483,2936) = 1418088 / 1

LCM(483,2936) = 1418088

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3290/483, 6907/2936

1. What is the HCF of 3290,6907?

The HCF of 3290,6907 is 1

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 3290/483, 6907/2936?

Answer: GCF of Numerators as per given numbers 3290/483, 6907/2936 is

GCF of Numerators i.e. for 3290,6907 is 1

LCM of denominators i.e. for 483,2936 is 1418088.

Thus, GCF of Fractions is 1/1418088.Finally, GCF of Fractions for 3290/483, 6907/2936 is 1/1418088.