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GCF of 1469/933, 8765/636

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 1469/933, 8765/636 i.e 1/197796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1469/933, 8765/636.

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 1469/933,8765/636?

Given fractions are 1469/933,8765/636

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 1469/933,8765/636, numerators are 1469,8765

Denominators are 933,636

The GCF of 1469,8765 is 1 .

LCM of 933,636 is 197796.

The greatest common factor of 1469/933,8765/636 = [GCF of 1469,8765]/[LCM of 933,636]= 1/197796

Therefore, the GCF of 1469/933,8765/636 is 1/197796.

Greatest Common Factor of 1469,8765

To find the highest common factor of 1469,8765, we have to find the factors of both numbers and list the highest common factor.

The factors of 1469 are 1, 13, 113, 1469

The factors of 8765 are 1, 5, 1753, 8765

The HCF of 1469,8765 is 1.

Lets's calculate GCF of 1469,8765

Greatest Common Factor (GCF) of 1469,8765 By Common Division

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

Greatest Common Factor of 1469,8765 By Matching Biggest Common Factor Method

Greatest Common Factor of 1469,8765 By Matching Biggest Common Factor Method

Now, list down the factors of 1469

:

1,13,113,1469

Now, list down the factors of 8765

:

1,5,1753,8765

Greatest Common Factor

We found the factors 1469,8765 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,8765 is 1.

Lets's calculate LCM of 933,636

Lowest Common Multiple of 933,636 using Common Division

3 933, 636
311, 212

∴ So the LCM of the given numbers is 3 x 311 x 212 = 197796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/197796

Therefore, the GCF of Fractions 1469/933,8765/636 is 1/197796

Least Common Multiple of 933,636 with GCF Formula

Least Common Multiple of 933,636 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 933,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,636) = 3

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

GCF(933,636) x common factors =3 x 1 = 3

LCM(933,636) = ( 933 × 636 ) / 3

LCM(933,636) = 593388 / 3

LCM(933,636) = 197796


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1469/933, 8765/636

1. What is the HCF of 1469,8765?

The HCF of 1469,8765 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 1469/933, 8765/636?

Answer: GCF of Numerators as per given numbers 1469/933, 8765/636 is

GCF of Numerators i.e. for 1469,8765 is 1

LCM of denominators i.e. for 933,636 is 197796.

Thus, GCF of Fractions is 1/197796.Finally, GCF of Fractions for 1469/933, 8765/636 is 1/197796.