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GCF of 411/619, 885/380

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 411/619, 885/380 i.e 3/235220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 411/619, 885/380.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 411/619,885/380?

Given fractions are 411/619,885/380

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 411/619,885/380, numerators are 411,885

Denominators are 619,380

The GCF of 411,885 is 3 .

LCM of 619,380 is 235220.

The greatest common factor of 411/619,885/380 = [GCF of 411,885]/[LCM of 619,380]= 3/235220

Therefore, the GCF of 411/619,885/380 is 3/235220.

Greatest Common Factor of 411,885

To find the highest common factor of 411,885, we have to find the factors of both numbers and list the highest common factor.

The factors of 411 are 1, 3, 137, 411

The factors of 885 are 1, 3, 5, 15, 59, 177, 295, 885

The HCF of 411,885 is 3.

Lets's calculate GCF of 411,885

Greatest Common Factor (GCF) of 411,885 By Common Division

3 411, 885
137, 295

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 411,885 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,885 By Matching Biggest Common Factor Method

Now, list down the factors of 411

:

1,3,137,411

Now, list down the factors of 885

:

1,3,5,15,59,177,295,885

Greatest Common Factor

We found the factors 411,885 . The biggest common factor number is the GCF number.
So the greatest common factor 411,885 is 3.


Lets's calculate LCM of 619,380

Lowest Common Multiple of 619,380 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 235220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/235220

Therefore, the GCF of Fractions 411/619,885/380 is 3/235220

Least Common Multiple of 619,380 with GCF Formula

Least Common Multiple of 619,380 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 619,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,380) = 1

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

GCF(619,380) x common factors =1 x 1 = 1

LCM(619,380) = ( 619 × 380 ) / 1

LCM(619,380) = 235220 / 1

LCM(619,380) = 235220


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 411/619, 885/380

1. What is the HCF of 411,885?

The HCF of 411,885 is 3

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 411/619, 885/380?

Answer: GCF of Numerators as per given numbers 411/619, 885/380 is

GCF of Numerators i.e. for 411,885 is 3

LCM of denominators i.e. for 619,380 is 235220.

Thus, GCF of Fractions is 3/235220.Finally, GCF of Fractions for 411/619, 885/380 is 3/235220.