How to Find GCF of 2903/786, 1122/6165?

GCF of 2903/786, 1122/6165

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 2903/786, 1122/6165 i.e 1/1615230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2903/786, 1122/6165.

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 2903/786,1122/6165?

Given fractions are 2903/786,1122/6165

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 2903/786,1122/6165, numerators are 2903,1122

Denominators are 786,6165

The GCF of 2903,1122 is 1 .

LCM of 786,6165 is 1615230.

The greatest common factor of 2903/786,1122/6165 = [GCF of 2903,1122]/[LCM of 786,6165]= 1/1615230

Therefore, the GCF of 2903/786,1122/6165 is 1/1615230.

Greatest Common Factor of 2903,1122

To find the highest common factor of 2903,1122, we have to find the factors of both numbers and list the highest common factor.

The factors of 2903 are 1, 2903

The factors of 1122 are 1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 187, 374, 561, 1122

The HCF of 2903,1122 is 1.

Lets's calculate GCF of 2903,1122

Greatest Common Factor (GCF) of 2903,1122 By Common Division

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

Greatest Common Factor of 2903,1122 By Matching Biggest Common Factor Method

Now, list down the factors of 2903

1,2903

Now, list down the factors of 1122

1,2,3,6,11,17,22,33,34,51,66,102,187,374,561,1122

Greatest Common Factor

We found the factors 2903,1122 . The biggest common factor number is the GCF number.
So the greatest common factor 2903,1122 is 1.

Lets's calculate LCM of 786,6165

Lowest Common Multiple of 786,6165 using Common Division

3	786, 6165
	262, 2055

∴ So the LCM of the given numbers is 3 x 262 x 2055 = 1615230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1615230

Therefore, the GCF of Fractions 2903/786,1122/6165 is 1/1615230

Least Common Multiple of 786,6165 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 786,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,6165) = 3

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

GCF(786,6165) x common factors =3 x 1 = 3

LCM(786,6165) = ( 786 × 6165 ) / 3

LCM(786,6165) = 4845690 / 3

LCM(786,6165) = 1615230

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2903/786, 1122/6165

1. What is the HCF of 2903,1122?

The HCF of 2903,1122 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 2903/786, 1122/6165?

Answer: GCF of Numerators as per given numbers 2903/786, 1122/6165 is

GCF of Numerators i.e. for 2903,1122 is 1

LCM of denominators i.e. for 786,6165 is 1615230.

Thus, GCF of Fractions is 1/1615230.Finally, GCF of Fractions for 2903/786, 1122/6165 is 1/1615230.