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GCF of 945/10, 269/873

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 945/10, 269/873 i.e 1/8730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 945/10, 269/873.

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 945/10,269/873?

Given fractions are 945/10,269/873

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 945/10,269/873, numerators are 945,269

Denominators are 10,873

The GCF of 945,269 is 1 .

LCM of 10,873 is 8730.

The greatest common factor of 945/10,269/873 = [GCF of 945,269]/[LCM of 10,873]= 1/8730

Therefore, the GCF of 945/10,269/873 is 1/8730.

Greatest Common Factor of 945,269

To find the highest common factor of 945,269, 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 269 are 1, 269

The HCF of 945,269 is 1.

Lets's calculate GCF of 945,269

Greatest Common Factor (GCF) of 945,269 By Common Division

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

Greatest Common Factor of 945,269 By Matching Biggest Common Factor Method

Greatest Common Factor of 945,269 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 269

:

1,269

Greatest Common Factor

We found the factors 945,269 . The biggest common factor number is the GCF number.
So the greatest common factor 945,269 is 1.

Lets's calculate LCM of 10,873

Lowest Common Multiple of 10,873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8730

Therefore, the GCF of Fractions 945/10,269/873 is 1/8730

Least Common Multiple of 10,873 with GCF Formula

Least Common Multiple of 10,873 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 10,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,873) = 1

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

GCF(10,873) x common factors =1 x 1 = 1

LCM(10,873) = ( 10 × 873 ) / 1

LCM(10,873) = 8730 / 1

LCM(10,873) = 8730


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FAQs on GCF of Fractions of 945/10, 269/873

1. What is the HCF of 945,269?

The HCF of 945,269 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 945/10, 269/873?

Answer: GCF of Numerators as per given numbers 945/10, 269/873 is

GCF of Numerators i.e. for 945,269 is 1

LCM of denominators i.e. for 10,873 is 8730.

Thus, GCF of Fractions is 1/8730.Finally, GCF of Fractions for 945/10, 269/873 is 1/8730.