How to Find GCF of 945/841, 345/587?

GCF of 945/841, 345/587

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 945/841, 345/587 i.e 15/493667 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/841, 345/587.

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 945/841,345/587?

Given fractions are 945/841,345/587

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 945/841,345/587, numerators are 945,345

Denominators are 841,587

The GCF of 945,345 is 15 .

LCM of 841,587 is 493667.

The greatest common factor of 945/841,345/587 = [GCF of 945,345]/[LCM of 841,587]= 15/493667

Therefore, the GCF of 945/841,345/587 is 15/493667.

Greatest Common Factor of 945,345

To find the highest common factor of 945,345, we have to find the factors of both numbers and list the highest common factor.

The factors of 945 are 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

The factors of 345 are 1, 3, 5, 15, 23, 69, 115, 345

The HCF of 945,345 is 15.

Lets's calculate GCF of 945,345

Greatest Common Factor (GCF) of 945,345 By Common Division

3	945, 345
5	315, 115
	63, 23

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

Greatest Common Factor of 945,345 By Matching Biggest Common Factor Method

Now, list down the factors of 945

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Now, list down the factors of 345

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 945,345 . The biggest common factor number is the GCF number.
So the greatest common factor 945,345 is 15.

Lets's calculate LCM of 841,587

Lowest Common Multiple of 841,587 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 493667

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/493667

Therefore, the GCF of Fractions 945/841,345/587 is 15/493667

Least Common Multiple of 841,587 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 841,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,587) = 1

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

GCF(841,587) x common factors =1 x 1 = 1

LCM(841,587) = ( 841 × 587 ) / 1

LCM(841,587) = 493667 / 1

LCM(841,587) = 493667

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FAQs on GCF of Fractions of 945/841, 345/587

1. What is the HCF of 945,345?

The HCF of 945,345 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 945/841, 345/587?

Answer: GCF of Numerators as per given numbers 945/841, 345/587 is

GCF of Numerators i.e. for 945,345 is 15

LCM of denominators i.e. for 841,587 is 493667.

Thus, GCF of Fractions is 15/493667.Finally, GCF of Fractions for 945/841, 345/587 is 15/493667.