How to Find GCF of 8969/557, 6069/9672?

GCF of 8969/557, 6069/9672

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 8969/557, 6069/9672 i.e 1/5387304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8969/557, 6069/9672.

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 8969/557,6069/9672?

Given fractions are 8969/557,6069/9672

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 8969/557,6069/9672, numerators are 8969,6069

Denominators are 557,9672

The GCF of 8969,6069 is 1 .

LCM of 557,9672 is 5387304.

The greatest common factor of 8969/557,6069/9672 = [GCF of 8969,6069]/[LCM of 557,9672]= 1/5387304

Therefore, the GCF of 8969/557,6069/9672 is 1/5387304.

Greatest Common Factor of 8969,6069

To find the highest common factor of 8969,6069, we have to find the factors of both numbers and list the highest common factor.

The factors of 8969 are 1, 8969

The factors of 6069 are 1, 3, 7, 17, 21, 51, 119, 289, 357, 867, 2023, 6069

The HCF of 8969,6069 is 1.

Lets's calculate GCF of 8969,6069

Greatest Common Factor (GCF) of 8969,6069 By Common Division

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

Greatest Common Factor of 8969,6069 By Matching Biggest Common Factor Method

Now, list down the factors of 8969

1,8969

Now, list down the factors of 6069

1,3,7,17,21,51,119,289,357,867,2023,6069

Greatest Common Factor

We found the factors 8969,6069 . The biggest common factor number is the GCF number.
So the greatest common factor 8969,6069 is 1.

Lets's calculate LCM of 557,9672

Lowest Common Multiple of 557,9672 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5387304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5387304

Therefore, the GCF of Fractions 8969/557,6069/9672 is 1/5387304

Least Common Multiple of 557,9672 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 557,9672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(557,9672) = 1

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

GCF(557,9672) x common factors =1 x 1 = 1

LCM(557,9672) = ( 557 × 9672 ) / 1

LCM(557,9672) = 5387304 / 1

LCM(557,9672) = 5387304

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FAQs on GCF of Fractions of 8969/557, 6069/9672

1. What is the HCF of 8969,6069?

The HCF of 8969,6069 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 8969/557, 6069/9672?

Answer: GCF of Numerators as per given numbers 8969/557, 6069/9672 is

GCF of Numerators i.e. for 8969,6069 is 1

LCM of denominators i.e. for 557,9672 is 5387304.

Thus, GCF of Fractions is 1/5387304.Finally, GCF of Fractions for 8969/557, 6069/9672 is 1/5387304.