How to Find GCF of 8434/298, 3145/1081?

GCF of 8434/298, 3145/1081

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 8434/298, 3145/1081 i.e 1/322138 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8434/298, 3145/1081.

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 8434/298,3145/1081?

Given fractions are 8434/298,3145/1081

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 8434/298,3145/1081, numerators are 8434,3145

Denominators are 298,1081

The GCF of 8434,3145 is 1 .

LCM of 298,1081 is 322138.

The greatest common factor of 8434/298,3145/1081 = [GCF of 8434,3145]/[LCM of 298,1081]= 1/322138

Therefore, the GCF of 8434/298,3145/1081 is 1/322138.

Greatest Common Factor of 8434,3145

To find the highest common factor of 8434,3145, we have to find the factors of both numbers and list the highest common factor.

The factors of 8434 are 1, 2, 4217, 8434

The factors of 3145 are 1, 5, 17, 37, 85, 185, 629, 3145

The HCF of 8434,3145 is 1.

Lets's calculate GCF of 8434,3145

Greatest Common Factor (GCF) of 8434,3145 By Common Division

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

Greatest Common Factor of 8434,3145 By Matching Biggest Common Factor Method

Now, list down the factors of 8434

1,2,4217,8434

Now, list down the factors of 3145

1,5,17,37,85,185,629,3145

Greatest Common Factor

We found the factors 8434,3145 . The biggest common factor number is the GCF number.
So the greatest common factor 8434,3145 is 1.

Lets's calculate LCM of 298,1081

Lowest Common Multiple of 298,1081 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 322138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/322138

Therefore, the GCF of Fractions 8434/298,3145/1081 is 1/322138

Least Common Multiple of 298,1081 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 298,1081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,1081) = 1

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

GCF(298,1081) x common factors =1 x 1 = 1

LCM(298,1081) = ( 298 × 1081 ) / 1

LCM(298,1081) = 322138 / 1

LCM(298,1081) = 322138

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FAQs on GCF of Fractions of 8434/298, 3145/1081

1. What is the HCF of 8434,3145?

The HCF of 8434,3145 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 8434/298, 3145/1081?

Answer: GCF of Numerators as per given numbers 8434/298, 3145/1081 is

GCF of Numerators i.e. for 8434,3145 is 1

LCM of denominators i.e. for 298,1081 is 322138.

Thus, GCF of Fractions is 1/322138.Finally, GCF of Fractions for 8434/298, 3145/1081 is 1/322138.