How to Find GCF of 1979/305, 1619/872?

GCF of 1979/305, 1619/872

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 1979/305, 1619/872 i.e 1/265960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1979/305, 1619/872.

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 1979/305,1619/872?

Given fractions are 1979/305,1619/872

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 1979/305,1619/872, numerators are 1979,1619

Denominators are 305,872

The GCF of 1979,1619 is 1 .

LCM of 305,872 is 265960.

The greatest common factor of 1979/305,1619/872 = [GCF of 1979,1619]/[LCM of 305,872]= 1/265960

Therefore, the GCF of 1979/305,1619/872 is 1/265960.

Greatest Common Factor of 1979,1619

To find the highest common factor of 1979,1619, we have to find the factors of both numbers and list the highest common factor.

The factors of 1979 are 1, 1979

The factors of 1619 are 1, 1619

The HCF of 1979,1619 is 1.

Lets's calculate GCF of 1979,1619

Greatest Common Factor (GCF) of 1979,1619 By Common Division

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

Greatest Common Factor of 1979,1619 By Matching Biggest Common Factor Method

Now, list down the factors of 1979

1,1979

Now, list down the factors of 1619

1,1619

Greatest Common Factor

We found the factors 1979,1619 . The biggest common factor number is the GCF number.
So the greatest common factor 1979,1619 is 1.

Lets's calculate LCM of 305,872

Lowest Common Multiple of 305,872 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 265960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265960

Therefore, the GCF of Fractions 1979/305,1619/872 is 1/265960

Least Common Multiple of 305,872 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 305,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,872) = 1

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

GCF(305,872) x common factors =1 x 1 = 1

LCM(305,872) = ( 305 × 872 ) / 1

LCM(305,872) = 265960 / 1

LCM(305,872) = 265960

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FAQs on GCF of Fractions of 1979/305, 1619/872

1. What is the HCF of 1979,1619?

The HCF of 1979,1619 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 1979/305, 1619/872?

Answer: GCF of Numerators as per given numbers 1979/305, 1619/872 is

GCF of Numerators i.e. for 1979,1619 is 1

LCM of denominators i.e. for 305,872 is 265960.

Thus, GCF of Fractions is 1/265960.Finally, GCF of Fractions for 1979/305, 1619/872 is 1/265960.