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GCF of 389/926, 205/170

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 389/926, 205/170 i.e 1/78710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/926, 205/170.

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 389/926,205/170?

Given fractions are 389/926,205/170

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 389/926,205/170, numerators are 389,205

Denominators are 926,170

The GCF of 389,205 is 1 .

LCM of 926,170 is 78710.

The greatest common factor of 389/926,205/170 = [GCF of 389,205]/[LCM of 926,170]= 1/78710

Therefore, the GCF of 389/926,205/170 is 1/78710.

Greatest Common Factor of 389,205

To find the highest common factor of 389,205, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 205 are 1, 5, 41, 205

The HCF of 389,205 is 1.

Lets's calculate GCF of 389,205

Greatest Common Factor (GCF) of 389,205 By Common Division

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

Greatest Common Factor of 389,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,205 By Matching Biggest Common Factor Method

Now, list down the factors of 389

:

1,389

Now, list down the factors of 205

:

1,5,41,205

Greatest Common Factor

We found the factors 389,205 . The biggest common factor number is the GCF number.
So the greatest common factor 389,205 is 1.

Lets's calculate LCM of 926,170

Lowest Common Multiple of 926,170 using Common Division

2 926, 170
463, 85

∴ So the LCM of the given numbers is 2 x 463 x 85 = 78710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78710

Therefore, the GCF of Fractions 389/926,205/170 is 1/78710

Least Common Multiple of 926,170 with GCF Formula

Least Common Multiple of 926,170 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 926,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(926,170) = 2

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

GCF(926,170) x common factors =2 x 1 = 2

LCM(926,170) = ( 926 × 170 ) / 2

LCM(926,170) = 157420 / 2

LCM(926,170) = 78710


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FAQs on GCF of Fractions of 389/926, 205/170

1. What is the HCF of 389,205?

The HCF of 389,205 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 389/926, 205/170?

Answer: GCF of Numerators as per given numbers 389/926, 205/170 is

GCF of Numerators i.e. for 389,205 is 1

LCM of denominators i.e. for 926,170 is 78710.

Thus, GCF of Fractions is 1/78710.Finally, GCF of Fractions for 389/926, 205/170 is 1/78710.