How to Find GCF of 1008/712, 2903/2566?

GCF of 1008/712, 2903/2566

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 1008/712, 2903/2566 i.e 1/913496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1008/712, 2903/2566.

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 1008/712,2903/2566?

Given fractions are 1008/712,2903/2566

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 1008/712,2903/2566, numerators are 1008,2903

Denominators are 712,2566

The GCF of 1008,2903 is 1 .

LCM of 712,2566 is 913496.

The greatest common factor of 1008/712,2903/2566 = [GCF of 1008,2903]/[LCM of 712,2566]= 1/913496

Therefore, the GCF of 1008/712,2903/2566 is 1/913496.

Greatest Common Factor of 1008,2903

To find the highest common factor of 1008,2903, we have to find the factors of both numbers and list the highest common factor.

The factors of 1008 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 84, 112, 126, 144, 168, 252, 336, 504, 1008

The factors of 2903 are 1, 2903

The HCF of 1008,2903 is 1.

Lets's calculate GCF of 1008,2903

Greatest Common Factor (GCF) of 1008,2903 By Common Division

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

Greatest Common Factor of 1008,2903 By Matching Biggest Common Factor Method

Now, list down the factors of 1008

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,36,42,48,56,63,72,84,112,126,144,168,252,336,504,1008

Now, list down the factors of 2903

1,2903

Greatest Common Factor

We found the factors 1008,2903 . The biggest common factor number is the GCF number.
So the greatest common factor 1008,2903 is 1.

Lets's calculate LCM of 712,2566

Lowest Common Multiple of 712,2566 using Common Division

2	712, 2566
	356, 1283

∴ So the LCM of the given numbers is 2 x 356 x 1283 = 913496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/913496

Therefore, the GCF of Fractions 1008/712,2903/2566 is 1/913496

Least Common Multiple of 712,2566 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 712,2566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,2566) = 2

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

GCF(712,2566) x common factors =2 x 1 = 2

LCM(712,2566) = ( 712 × 2566 ) / 2

LCM(712,2566) = 1826992 / 2

LCM(712,2566) = 913496

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1008/712, 2903/2566

1. What is the HCF of 1008,2903?

The HCF of 1008,2903 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 1008/712, 2903/2566?

Answer: GCF of Numerators as per given numbers 1008/712, 2903/2566 is

GCF of Numerators i.e. for 1008,2903 is 1

LCM of denominators i.e. for 712,2566 is 913496.

Thus, GCF of Fractions is 1/913496.Finally, GCF of Fractions for 1008/712, 2903/2566 is 1/913496.