How to Find GCF of 885/43, 210/6326?

GCF of 885/43, 210/6326

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 885/43, 210/6326 i.e 15/272018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/43, 210/6326.

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 885/43,210/6326?

Given fractions are 885/43,210/6326

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 885/43,210/6326, numerators are 885,210

Denominators are 43,6326

The GCF of 885,210 is 15 .

LCM of 43,6326 is 272018.

The greatest common factor of 885/43,210/6326 = [GCF of 885,210]/[LCM of 43,6326]= 15/272018

Therefore, the GCF of 885/43,210/6326 is 15/272018.

Greatest Common Factor of 885,210

To find the highest common factor of 885,210, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The HCF of 885,210 is 15.

Lets's calculate GCF of 885,210

Greatest Common Factor (GCF) of 885,210 By Common Division

3	885, 210
5	295, 70
	59, 14

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 885,210 By Matching Biggest Common Factor Method

Now, list down the factors of 885

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

Now, list down the factors of 210

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 885,210 . The biggest common factor number is the GCF number.
So the greatest common factor 885,210 is 15.

Lets's calculate LCM of 43,6326

Lowest Common Multiple of 43,6326 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 272018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/272018

Therefore, the GCF of Fractions 885/43,210/6326 is 15/272018

Least Common Multiple of 43,6326 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 43,6326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,6326) = 1

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

GCF(43,6326) x common factors =1 x 1 = 1

LCM(43,6326) = ( 43 × 6326 ) / 1

LCM(43,6326) = 272018 / 1

LCM(43,6326) = 272018

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FAQs on GCF of Fractions of 885/43, 210/6326

1. What is the HCF of 885,210?

The HCF of 885,210 is 15

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 885/43, 210/6326?

Answer: GCF of Numerators as per given numbers 885/43, 210/6326 is

GCF of Numerators i.e. for 885,210 is 15

LCM of denominators i.e. for 43,6326 is 272018.

Thus, GCF of Fractions is 15/272018.Finally, GCF of Fractions for 885/43, 210/6326 is 15/272018.