How to Find GCF of 1879/761, 4165/992?

GCF of 1879/761, 4165/992

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 1879/761, 4165/992 i.e 1/754912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1879/761, 4165/992.

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 1879/761,4165/992?

Given fractions are 1879/761,4165/992

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 1879/761,4165/992, numerators are 1879,4165

Denominators are 761,992

The GCF of 1879,4165 is 1 .

LCM of 761,992 is 754912.

The greatest common factor of 1879/761,4165/992 = [GCF of 1879,4165]/[LCM of 761,992]= 1/754912

Therefore, the GCF of 1879/761,4165/992 is 1/754912.

Greatest Common Factor of 1879,4165

To find the highest common factor of 1879,4165, we have to find the factors of both numbers and list the highest common factor.

The factors of 1879 are 1, 1879

The factors of 4165 are 1, 5, 7, 17, 35, 49, 85, 119, 245, 595, 833, 4165

The HCF of 1879,4165 is 1.

Lets's calculate GCF of 1879,4165

Greatest Common Factor (GCF) of 1879,4165 By Common Division

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

Greatest Common Factor of 1879,4165 By Matching Biggest Common Factor Method

Now, list down the factors of 1879

1,1879

Now, list down the factors of 4165

1,5,7,17,35,49,85,119,245,595,833,4165

Greatest Common Factor

We found the factors 1879,4165 . The biggest common factor number is the GCF number.
So the greatest common factor 1879,4165 is 1.

Lets's calculate LCM of 761,992

Lowest Common Multiple of 761,992 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 754912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/754912

Therefore, the GCF of Fractions 1879/761,4165/992 is 1/754912

Least Common Multiple of 761,992 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 761,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(761,992) = 1

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

GCF(761,992) x common factors =1 x 1 = 1

LCM(761,992) = ( 761 × 992 ) / 1

LCM(761,992) = 754912 / 1

LCM(761,992) = 754912

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FAQs on GCF of Fractions of 1879/761, 4165/992

1. What is the HCF of 1879,4165?

The HCF of 1879,4165 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 1879/761, 4165/992?

Answer: GCF of Numerators as per given numbers 1879/761, 4165/992 is

GCF of Numerators i.e. for 1879,4165 is 1

LCM of denominators i.e. for 761,992 is 754912.

Thus, GCF of Fractions is 1/754912.Finally, GCF of Fractions for 1879/761, 4165/992 is 1/754912.