How to Find GCF of 5903/166, 1120/6818?

GCF of 5903/166, 1120/6818

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 5903/166, 1120/6818 i.e 1/565894 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5903/166, 1120/6818.

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 5903/166,1120/6818?

Given fractions are 5903/166,1120/6818

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 5903/166,1120/6818, numerators are 5903,1120

Denominators are 166,6818

The GCF of 5903,1120 is 1 .

LCM of 166,6818 is 565894.

The greatest common factor of 5903/166,1120/6818 = [GCF of 5903,1120]/[LCM of 166,6818]= 1/565894

Therefore, the GCF of 5903/166,1120/6818 is 1/565894.

Greatest Common Factor of 5903,1120

To find the highest common factor of 5903,1120, we have to find the factors of both numbers and list the highest common factor.

The factors of 5903 are 1, 5903

The factors of 1120 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120

The HCF of 5903,1120 is 1.

Lets's calculate GCF of 5903,1120

Greatest Common Factor (GCF) of 5903,1120 By Common Division

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

Greatest Common Factor of 5903,1120 By Matching Biggest Common Factor Method

Now, list down the factors of 5903

1,5903

Now, list down the factors of 1120

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,70,80,112,140,160,224,280,560,1120

Greatest Common Factor

We found the factors 5903,1120 . The biggest common factor number is the GCF number.
So the greatest common factor 5903,1120 is 1.

Lets's calculate LCM of 166,6818

Lowest Common Multiple of 166,6818 using Common Division

2	166, 6818
	83, 3409

∴ So the LCM of the given numbers is 2 x 83 x 3409 = 565894

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/565894

Therefore, the GCF of Fractions 5903/166,1120/6818 is 1/565894

Least Common Multiple of 166,6818 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 166,6818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,6818) = 2

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

GCF(166,6818) x common factors =2 x 1 = 2

LCM(166,6818) = ( 166 × 6818 ) / 2

LCM(166,6818) = 1131788 / 2

LCM(166,6818) = 565894

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FAQs on GCF of Fractions of 5903/166, 1120/6818

1. What is the HCF of 5903,1120?

The HCF of 5903,1120 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 5903/166, 1120/6818?

Answer: GCF of Numerators as per given numbers 5903/166, 1120/6818 is

GCF of Numerators i.e. for 5903,1120 is 1

LCM of denominators i.e. for 166,6818 is 565894.

Thus, GCF of Fractions is 1/565894.Finally, GCF of Fractions for 5903/166, 1120/6818 is 1/565894.