How to Find GCF of 3298/130, 7423/8189?

GCF of 3298/130, 7423/8189

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 3298/130, 7423/8189 i.e 1/1064570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3298/130, 7423/8189.

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 3298/130,7423/8189?

Given fractions are 3298/130,7423/8189

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 3298/130,7423/8189, numerators are 3298,7423

Denominators are 130,8189

The GCF of 3298,7423 is 1 .

LCM of 130,8189 is 1064570.

The greatest common factor of 3298/130,7423/8189 = [GCF of 3298,7423]/[LCM of 130,8189]= 1/1064570

Therefore, the GCF of 3298/130,7423/8189 is 1/1064570.

Greatest Common Factor of 3298,7423

To find the highest common factor of 3298,7423, we have to find the factors of both numbers and list the highest common factor.

The factors of 3298 are 1, 2, 17, 34, 97, 194, 1649, 3298

The factors of 7423 are 1, 13, 571, 7423

The HCF of 3298,7423 is 1.

Lets's calculate GCF of 3298,7423

Greatest Common Factor (GCF) of 3298,7423 By Common Division

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

Greatest Common Factor of 3298,7423 By Matching Biggest Common Factor Method

Now, list down the factors of 3298

1,2,17,34,97,194,1649,3298

Now, list down the factors of 7423

1,13,571,7423

Greatest Common Factor

We found the factors 3298,7423 . The biggest common factor number is the GCF number.
So the greatest common factor 3298,7423 is 1.

Lets's calculate LCM of 130,8189

Lowest Common Multiple of 130,8189 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1064570

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1064570

Therefore, the GCF of Fractions 3298/130,7423/8189 is 1/1064570

Least Common Multiple of 130,8189 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 130,8189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(130,8189) = 1

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

GCF(130,8189) x common factors =1 x 1 = 1

LCM(130,8189) = ( 130 × 8189 ) / 1

LCM(130,8189) = 1064570 / 1

LCM(130,8189) = 1064570

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FAQs on GCF of Fractions of 3298/130, 7423/8189

1. What is the HCF of 3298,7423?

The HCF of 3298,7423 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 3298/130, 7423/8189?

Answer: GCF of Numerators as per given numbers 3298/130, 7423/8189 is

GCF of Numerators i.e. for 3298,7423 is 1

LCM of denominators i.e. for 130,8189 is 1064570.

Thus, GCF of Fractions is 1/1064570.Finally, GCF of Fractions for 3298/130, 7423/8189 is 1/1064570.