How to Find GCF of 8870/266, 8233/7695?

GCF of 8870/266, 8233/7695

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 8870/266, 8233/7695 i.e 1/107730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8870/266, 8233/7695.

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 8870/266,8233/7695?

Given fractions are 8870/266,8233/7695

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 8870/266,8233/7695, numerators are 8870,8233

Denominators are 266,7695

The GCF of 8870,8233 is 1 .

LCM of 266,7695 is 107730.

The greatest common factor of 8870/266,8233/7695 = [GCF of 8870,8233]/[LCM of 266,7695]= 1/107730

Therefore, the GCF of 8870/266,8233/7695 is 1/107730.

Greatest Common Factor of 8870,8233

To find the highest common factor of 8870,8233, we have to find the factors of both numbers and list the highest common factor.

The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870

The factors of 8233 are 1, 8233

The HCF of 8870,8233 is 1.

Lets's calculate GCF of 8870,8233

Greatest Common Factor (GCF) of 8870,8233 By Common Division

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

Greatest Common Factor of 8870,8233 By Matching Biggest Common Factor Method

Now, list down the factors of 8870

1,2,5,10,887,1774,4435,8870

Now, list down the factors of 8233

1,8233

Greatest Common Factor

We found the factors 8870,8233 . The biggest common factor number is the GCF number.
So the greatest common factor 8870,8233 is 1.

Lets's calculate LCM of 266,7695

Lowest Common Multiple of 266,7695 using Common Division

19	266, 7695
	14, 405

∴ So the LCM of the given numbers is 19 x 14 x 405 = 107730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107730

Therefore, the GCF of Fractions 8870/266,8233/7695 is 1/107730

Least Common Multiple of 266,7695 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 266,7695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(266,7695) = 19

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

GCF(266,7695) x common factors =19 x 1 = 19

LCM(266,7695) = ( 266 × 7695 ) / 19

LCM(266,7695) = 2046870 / 19

LCM(266,7695) = 107730

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FAQs on GCF of Fractions of 8870/266, 8233/7695

1. What is the HCF of 8870,8233?

The HCF of 8870,8233 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 8870/266, 8233/7695?

Answer: GCF of Numerators as per given numbers 8870/266, 8233/7695 is

GCF of Numerators i.e. for 8870,8233 is 1

LCM of denominators i.e. for 266,7695 is 107730.

Thus, GCF of Fractions is 1/107730.Finally, GCF of Fractions for 8870/266, 8233/7695 is 1/107730.