How to Find GCF of 1992/209, 1771/604?

GCF of 1992/209, 1771/604

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 1992/209, 1771/604 i.e 1/126236 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1992/209, 1771/604.

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 1992/209,1771/604?

Given fractions are 1992/209,1771/604

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 1992/209,1771/604, numerators are 1992,1771

Denominators are 209,604

The GCF of 1992,1771 is 1 .

LCM of 209,604 is 126236.

The greatest common factor of 1992/209,1771/604 = [GCF of 1992,1771]/[LCM of 209,604]= 1/126236

Therefore, the GCF of 1992/209,1771/604 is 1/126236.

Greatest Common Factor of 1992,1771

To find the highest common factor of 1992,1771, we have to find the factors of both numbers and list the highest common factor.

The factors of 1992 are 1, 2, 3, 4, 6, 8, 12, 24, 83, 166, 249, 332, 498, 664, 996, 1992

The factors of 1771 are 1, 7, 11, 23, 77, 161, 253, 1771

The HCF of 1992,1771 is 1.

Lets's calculate GCF of 1992,1771

Greatest Common Factor (GCF) of 1992,1771 By Common Division

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

Greatest Common Factor of 1992,1771 By Matching Biggest Common Factor Method

Now, list down the factors of 1992

1,2,3,4,6,8,12,24,83,166,249,332,498,664,996,1992

Now, list down the factors of 1771

1,7,11,23,77,161,253,1771

Greatest Common Factor

We found the factors 1992,1771 . The biggest common factor number is the GCF number.
So the greatest common factor 1992,1771 is 1.

Lets's calculate LCM of 209,604

Lowest Common Multiple of 209,604 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 126236

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126236

Therefore, the GCF of Fractions 1992/209,1771/604 is 1/126236

Least Common Multiple of 209,604 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 209,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(209,604) = 1

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

GCF(209,604) x common factors =1 x 1 = 1

LCM(209,604) = ( 209 × 604 ) / 1

LCM(209,604) = 126236 / 1

LCM(209,604) = 126236

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FAQs on GCF of Fractions of 1992/209, 1771/604

1. What is the HCF of 1992,1771?

The HCF of 1992,1771 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 1992/209, 1771/604?

Answer: GCF of Numerators as per given numbers 1992/209, 1771/604 is

GCF of Numerators i.e. for 1992,1771 is 1

LCM of denominators i.e. for 209,604 is 126236.

Thus, GCF of Fractions is 1/126236.Finally, GCF of Fractions for 1992/209, 1771/604 is 1/126236.