How to Find GCF of 1801/214, 1147/5786?

GCF of 1801/214, 1147/5786

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 1801/214, 1147/5786 i.e 1/619102 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1801/214, 1147/5786.

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 1801/214,1147/5786?

Given fractions are 1801/214,1147/5786

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 1801/214,1147/5786, numerators are 1801,1147

Denominators are 214,5786

The GCF of 1801,1147 is 1 .

LCM of 214,5786 is 619102.

The greatest common factor of 1801/214,1147/5786 = [GCF of 1801,1147]/[LCM of 214,5786]= 1/619102

Therefore, the GCF of 1801/214,1147/5786 is 1/619102.

Greatest Common Factor of 1801,1147

To find the highest common factor of 1801,1147, we have to find the factors of both numbers and list the highest common factor.

The factors of 1801 are 1, 1801

The factors of 1147 are 1, 31, 37, 1147

The HCF of 1801,1147 is 1.

Lets's calculate GCF of 1801,1147

Greatest Common Factor (GCF) of 1801,1147 By Common Division

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

Greatest Common Factor of 1801,1147 By Matching Biggest Common Factor Method

Now, list down the factors of 1801

1,1801

Now, list down the factors of 1147

1,31,37,1147

Greatest Common Factor

We found the factors 1801,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 1801,1147 is 1.

Lets's calculate LCM of 214,5786

Lowest Common Multiple of 214,5786 using Common Division

2	214, 5786
	107, 2893

∴ So the LCM of the given numbers is 2 x 107 x 2893 = 619102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619102

Therefore, the GCF of Fractions 1801/214,1147/5786 is 1/619102

Least Common Multiple of 214,5786 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 214,5786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,5786) = 2

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

GCF(214,5786) x common factors =2 x 1 = 2

LCM(214,5786) = ( 214 × 5786 ) / 2

LCM(214,5786) = 1238204 / 2

LCM(214,5786) = 619102

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FAQs on GCF of Fractions of 1801/214, 1147/5786

1. What is the HCF of 1801,1147?

The HCF of 1801,1147 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 1801/214, 1147/5786?

Answer: GCF of Numerators as per given numbers 1801/214, 1147/5786 is

GCF of Numerators i.e. for 1801,1147 is 1

LCM of denominators i.e. for 214,5786 is 619102.

Thus, GCF of Fractions is 1/619102.Finally, GCF of Fractions for 1801/214, 1147/5786 is 1/619102.