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GCF of 385/705, 5806/9415

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 385/705, 5806/9415 i.e 1/1327515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 385/705, 5806/9415.

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 385/705,5806/9415?

Given fractions are 385/705,5806/9415

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 385/705,5806/9415, numerators are 385,5806

Denominators are 705,9415

The GCF of 385,5806 is 1 .

LCM of 705,9415 is 1327515.

The greatest common factor of 385/705,5806/9415 = [GCF of 385,5806]/[LCM of 705,9415]= 1/1327515

Therefore, the GCF of 385/705,5806/9415 is 1/1327515.

Greatest Common Factor of 385,5806

To find the highest common factor of 385,5806, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 5806 are 1, 2, 2903, 5806

The HCF of 385,5806 is 1.

Lets's calculate GCF of 385,5806

Greatest Common Factor (GCF) of 385,5806 By Common Division

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

Greatest Common Factor of 385,5806 By Matching Biggest Common Factor Method

Greatest Common Factor of 385,5806 By Matching Biggest Common Factor Method

Now, list down the factors of 385

:

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

Now, list down the factors of 5806

:

1,2,2903,5806

Greatest Common Factor

We found the factors 385,5806 . The biggest common factor number is the GCF number.
So the greatest common factor 385,5806 is 1.

Lets's calculate LCM of 705,9415

Lowest Common Multiple of 705,9415 using Common Division

5 705, 9415
141, 1883

∴ So the LCM of the given numbers is 5 x 141 x 1883 = 1327515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1327515

Therefore, the GCF of Fractions 385/705,5806/9415 is 1/1327515

Least Common Multiple of 705,9415 with GCF Formula

Least Common Multiple of 705,9415 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 705,9415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,9415) = 5

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

GCF(705,9415) x common factors =5 x 1 = 5

LCM(705,9415) = ( 705 × 9415 ) / 5

LCM(705,9415) = 6637575 / 5

LCM(705,9415) = 1327515


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 385/705, 5806/9415

1. What is the HCF of 385,5806?

The HCF of 385,5806 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 385/705, 5806/9415?

Answer: GCF of Numerators as per given numbers 385/705, 5806/9415 is

GCF of Numerators i.e. for 385,5806 is 1

LCM of denominators i.e. for 705,9415 is 1327515.

Thus, GCF of Fractions is 1/1327515.Finally, GCF of Fractions for 385/705, 5806/9415 is 1/1327515.