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GCF of 850/396, 385/258

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 850/396, 385/258 i.e 5/17028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 850/396, 385/258.

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 850/396,385/258?

Given fractions are 850/396,385/258

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 850/396,385/258, numerators are 850,385

Denominators are 396,258

The GCF of 850,385 is 5 .

LCM of 396,258 is 17028.

The greatest common factor of 850/396,385/258 = [GCF of 850,385]/[LCM of 396,258]= 5/17028

Therefore, the GCF of 850/396,385/258 is 5/17028.

Greatest Common Factor of 850,385

To find the highest common factor of 850,385, we have to find the factors of both numbers and list the highest common factor.

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385

The HCF of 850,385 is 5.

Lets's calculate GCF of 850,385

Greatest Common Factor (GCF) of 850,385 By Common Division

5 850, 385
170, 77

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 850,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,385 By Matching Biggest Common Factor Method

Now, list down the factors of 850

:

1,2,5,10,17,25,34,50,85,170,425,850

Now, list down the factors of 385

:

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 850,385 . The biggest common factor number is the GCF number.
So the greatest common factor 850,385 is 5.

Lets's calculate LCM of 396,258

Lowest Common Multiple of 396,258 using Common Division

2 396, 258
3 198, 129
66, 43

∴ So the LCM of the given numbers is 2 x 3 x 66 x 43 = 17028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/17028

Therefore, the GCF of Fractions 850/396,385/258 is 5/17028

Least Common Multiple of 396,258 with GCF Formula

Least Common Multiple of 396,258 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 396,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,258) = 6

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

GCF(396,258) x common factors =6 x 1 = 6

LCM(396,258) = ( 396 × 258 ) / 6

LCM(396,258) = 102168 / 6

LCM(396,258) = 17028


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FAQs on GCF of Fractions of 850/396, 385/258

1. What is the HCF of 850,385?

The HCF of 850,385 is 5

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 850/396, 385/258?

Answer: GCF of Numerators as per given numbers 850/396, 385/258 is

GCF of Numerators i.e. for 850,385 is 5

LCM of denominators i.e. for 396,258 is 17028.

Thus, GCF of Fractions is 5/17028.Finally, GCF of Fractions for 850/396, 385/258 is 5/17028.