How to Find GCF of 795/445, 870/301?

GCF of 795/445, 870/301

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 795/445, 870/301 i.e 15/133945 easily. The following is the detailed procedure to determine the greatest common factor of fractions 795/445, 870/301.

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 795/445,870/301?

Given fractions are 795/445,870/301

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 795/445,870/301, numerators are 795,870

Denominators are 445,301

The GCF of 795,870 is 15 .

LCM of 445,301 is 133945.

The greatest common factor of 795/445,870/301 = [GCF of 795,870]/[LCM of 445,301]= 15/133945

Therefore, the GCF of 795/445,870/301 is 15/133945.

Greatest Common Factor of 795,870

To find the highest common factor of 795,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 795,870 is 15.

Lets's calculate GCF of 795,870

Greatest Common Factor (GCF) of 795,870 By Common Division

3	795, 870
5	265, 290
	53, 58

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

Greatest Common Factor of 795,870 By Matching Biggest Common Factor Method

Now, list down the factors of 795

1,3,5,15,53,159,265,795

Now, list down the factors of 870

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 795,870 . The biggest common factor number is the GCF number.
So the greatest common factor 795,870 is 15.

Lets's calculate LCM of 445,301

Lowest Common Multiple of 445,301 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 133945

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/133945

Therefore, the GCF of Fractions 795/445,870/301 is 15/133945

Least Common Multiple of 445,301 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 445,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(445,301) = 1

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

GCF(445,301) x common factors =1 x 1 = 1

LCM(445,301) = ( 445 × 301 ) / 1

LCM(445,301) = 133945 / 1

LCM(445,301) = 133945

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FAQs on GCF of Fractions of 795/445, 870/301

1. What is the HCF of 795,870?

The HCF of 795,870 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 795/445, 870/301?

Answer: GCF of Numerators as per given numbers 795/445, 870/301 is

GCF of Numerators i.e. for 795,870 is 15

LCM of denominators i.e. for 445,301 is 133945.

Thus, GCF of Fractions is 15/133945.Finally, GCF of Fractions for 795/445, 870/301 is 15/133945.