How to Find GCF of 2057/191, 1045/8399?

GCF of 2057/191, 1045/8399

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 2057/191, 1045/8399 i.e 11/1604209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2057/191, 1045/8399.

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 2057/191,1045/8399?

Given fractions are 2057/191,1045/8399

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 2057/191,1045/8399, numerators are 2057,1045

Denominators are 191,8399

The GCF of 2057,1045 is 11 .

LCM of 191,8399 is 1604209.

The greatest common factor of 2057/191,1045/8399 = [GCF of 2057,1045]/[LCM of 191,8399]= 11/1604209

Therefore, the GCF of 2057/191,1045/8399 is 11/1604209.

Greatest Common Factor of 2057,1045

To find the highest common factor of 2057,1045, we have to find the factors of both numbers and list the highest common factor.

The factors of 2057 are 1, 11, 17, 121, 187, 2057

The factors of 1045 are 1, 5, 11, 19, 55, 95, 209, 1045

The HCF of 2057,1045 is 11.

Lets's calculate GCF of 2057,1045

Greatest Common Factor (GCF) of 2057,1045 By Common Division

11	2057, 1045
	187, 95

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2057,1045 By Matching Biggest Common Factor Method

Now, list down the factors of 2057

1,11,17,121,187,2057

Now, list down the factors of 1045

1,5,11,19,55,95,209,1045

Greatest Common Factor

We found the factors 2057,1045 . The biggest common factor number is the GCF number.
So the greatest common factor 2057,1045 is 11.

Lets's calculate LCM of 191,8399

Lowest Common Multiple of 191,8399 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1604209

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1604209

Therefore, the GCF of Fractions 2057/191,1045/8399 is 11/1604209

Least Common Multiple of 191,8399 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 191,8399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(191,8399) = 1

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

GCF(191,8399) x common factors =1 x 1 = 1

LCM(191,8399) = ( 191 × 8399 ) / 1

LCM(191,8399) = 1604209 / 1

LCM(191,8399) = 1604209

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FAQs on GCF of Fractions of 2057/191, 1045/8399

1. What is the HCF of 2057,1045?

The HCF of 2057,1045 is 11

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 2057/191, 1045/8399?

Answer: GCF of Numerators as per given numbers 2057/191, 1045/8399 is

GCF of Numerators i.e. for 2057,1045 is 11

LCM of denominators i.e. for 191,8399 is 1604209.

Thus, GCF of Fractions is 11/1604209.Finally, GCF of Fractions for 2057/191, 1045/8399 is 11/1604209.