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GCF of 783/66, 927/226

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 783/66, 927/226 i.e 9/7458 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/66, 927/226.

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 783/66,927/226?

Given fractions are 783/66,927/226

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 783/66,927/226, numerators are 783,927

Denominators are 66,226

The GCF of 783,927 is 9 .

LCM of 66,226 is 7458.

The greatest common factor of 783/66,927/226 = [GCF of 783,927]/[LCM of 66,226]= 9/7458

Therefore, the GCF of 783/66,927/226 is 9/7458.

Greatest Common Factor of 783,927

To find the highest common factor of 783,927, we have to find the factors of both numbers and list the highest common factor.

The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783

The factors of 927 are 1, 3, 9, 103, 309, 927

The HCF of 783,927 is 9.

Lets's calculate GCF of 783,927

Greatest Common Factor (GCF) of 783,927 By Common Division

3 783, 927
3 261, 309
87, 103

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 783,927 By Matching Biggest Common Factor Method

Greatest Common Factor of 783,927 By Matching Biggest Common Factor Method

Now, list down the factors of 783

:

1,3,9,27,29,87,261,783

Now, list down the factors of 927

:

1,3,9,103,309,927

Greatest Common Factor

We found the factors 783,927 . The biggest common factor number is the GCF number.
So the greatest common factor 783,927 is 9.

Lets's calculate LCM of 66,226

Lowest Common Multiple of 66,226 using Common Division

2 66, 226
33, 113

∴ So the LCM of the given numbers is 2 x 33 x 113 = 7458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/7458

Therefore, the GCF of Fractions 783/66,927/226 is 9/7458

Least Common Multiple of 66,226 with GCF Formula

Least Common Multiple of 66,226 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 66,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,226) = 2

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

GCF(66,226) x common factors =2 x 1 = 2

LCM(66,226) = ( 66 × 226 ) / 2

LCM(66,226) = 14916 / 2

LCM(66,226) = 7458


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 783/66, 927/226

1. What is the HCF of 783,927?

The HCF of 783,927 is 9

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 783/66, 927/226?

Answer: GCF of Numerators as per given numbers 783/66, 927/226 is

GCF of Numerators i.e. for 783,927 is 9

LCM of denominators i.e. for 66,226 is 7458.

Thus, GCF of Fractions is 9/7458.Finally, GCF of Fractions for 783/66, 927/226 is 9/7458.