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GCF of 885/396, 8574/628

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 885/396, 8574/628 i.e 3/62172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 885/396, 8574/628.

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 885/396,8574/628?

Given fractions are 885/396,8574/628

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 885/396,8574/628, numerators are 885,8574

Denominators are 396,628

The GCF of 885,8574 is 3 .

LCM of 396,628 is 62172.

The greatest common factor of 885/396,8574/628 = [GCF of 885,8574]/[LCM of 396,628]= 3/62172

Therefore, the GCF of 885/396,8574/628 is 3/62172.

Greatest Common Factor of 885,8574

To find the highest common factor of 885,8574, 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 8574 are 1, 2, 3, 6, 1429, 2858, 4287, 8574

The HCF of 885,8574 is 3.

Lets's calculate GCF of 885,8574

Greatest Common Factor (GCF) of 885,8574 By Common Division

3 885, 8574
295, 2858

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

Greatest Common Factor of 885,8574 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,8574 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 8574

:

1,2,3,6,1429,2858,4287,8574

Greatest Common Factor

We found the factors 885,8574 . The biggest common factor number is the GCF number.
So the greatest common factor 885,8574 is 3.

Lets's calculate LCM of 396,628

Lowest Common Multiple of 396,628 using Common Division

2 396, 628
2 198, 314
99, 157

∴ So the LCM of the given numbers is 2 x 2 x 99 x 157 = 62172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62172

Therefore, the GCF of Fractions 885/396,8574/628 is 3/62172

Least Common Multiple of 396,628 with GCF Formula

Least Common Multiple of 396,628 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 396,628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,628) = 4

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

GCF(396,628) x common factors =4 x 1 = 4

LCM(396,628) = ( 396 × 628 ) / 4

LCM(396,628) = 248688 / 4

LCM(396,628) = 62172


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FAQs on GCF of Fractions of 885/396, 8574/628

1. What is the HCF of 885,8574?

The HCF of 885,8574 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 885/396, 8574/628?

Answer: GCF of Numerators as per given numbers 885/396, 8574/628 is

GCF of Numerators i.e. for 885,8574 is 3

LCM of denominators i.e. for 396,628 is 62172.

Thus, GCF of Fractions is 3/62172.Finally, GCF of Fractions for 885/396, 8574/628 is 3/62172.