How to Find GCF of 1805/986, 2998/6818?

GCF of 1805/986, 2998/6818

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 1805/986, 2998/6818 i.e 1/3361274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1805/986, 2998/6818.

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 1805/986,2998/6818?

Given fractions are 1805/986,2998/6818

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 1805/986,2998/6818, numerators are 1805,2998

Denominators are 986,6818

The GCF of 1805,2998 is 1 .

LCM of 986,6818 is 3361274.

The greatest common factor of 1805/986,2998/6818 = [GCF of 1805,2998]/[LCM of 986,6818]= 1/3361274

Therefore, the GCF of 1805/986,2998/6818 is 1/3361274.

Greatest Common Factor of 1805,2998

To find the highest common factor of 1805,2998, we have to find the factors of both numbers and list the highest common factor.

The factors of 1805 are 1, 5, 19, 95, 361, 1805

The factors of 2998 are 1, 2, 1499, 2998

The HCF of 1805,2998 is 1.

Lets's calculate GCF of 1805,2998

Greatest Common Factor (GCF) of 1805,2998 By Common Division

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

Greatest Common Factor of 1805,2998 By Matching Biggest Common Factor Method

Now, list down the factors of 1805

1,5,19,95,361,1805

Now, list down the factors of 2998

1,2,1499,2998

Greatest Common Factor

We found the factors 1805,2998 . The biggest common factor number is the GCF number.
So the greatest common factor 1805,2998 is 1.

Lets's calculate LCM of 986,6818

Lowest Common Multiple of 986,6818 using Common Division

2	986, 6818
	493, 3409

∴ So the LCM of the given numbers is 2 x 493 x 3409 = 3361274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3361274

Therefore, the GCF of Fractions 1805/986,2998/6818 is 1/3361274

Least Common Multiple of 986,6818 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 986,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,6818) = 2

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

GCF(986,6818) x common factors =2 x 1 = 2

LCM(986,6818) = ( 986 × 6818 ) / 2

LCM(986,6818) = 6722548 / 2

LCM(986,6818) = 3361274

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1805/986, 2998/6818

1. What is the HCF of 1805,2998?

The HCF of 1805,2998 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 1805/986, 2998/6818?

Answer: GCF of Numerators as per given numbers 1805/986, 2998/6818 is

GCF of Numerators i.e. for 1805,2998 is 1

LCM of denominators i.e. for 986,6818 is 3361274.

Thus, GCF of Fractions is 1/3361274.Finally, GCF of Fractions for 1805/986, 2998/6818 is 1/3361274.