How to Find GCF of 4509/762, 7319/1006?

GCF of 4509/762, 7319/1006

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 4509/762, 7319/1006 i.e 1/383286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4509/762, 7319/1006.

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 4509/762,7319/1006?

Given fractions are 4509/762,7319/1006

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 4509/762,7319/1006, numerators are 4509,7319

Denominators are 762,1006

The GCF of 4509,7319 is 1 .

LCM of 762,1006 is 383286.

The greatest common factor of 4509/762,7319/1006 = [GCF of 4509,7319]/[LCM of 762,1006]= 1/383286

Therefore, the GCF of 4509/762,7319/1006 is 1/383286.

Greatest Common Factor of 4509,7319

To find the highest common factor of 4509,7319, we have to find the factors of both numbers and list the highest common factor.

The factors of 4509 are 1, 3, 9, 27, 167, 501, 1503, 4509

The factors of 7319 are 1, 13, 563, 7319

The HCF of 4509,7319 is 1.

Lets's calculate GCF of 4509,7319

Greatest Common Factor (GCF) of 4509,7319 By Common Division

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

Greatest Common Factor of 4509,7319 By Matching Biggest Common Factor Method

Now, list down the factors of 4509

1,3,9,27,167,501,1503,4509

Now, list down the factors of 7319

1,13,563,7319

Greatest Common Factor

We found the factors 4509,7319 . The biggest common factor number is the GCF number.
So the greatest common factor 4509,7319 is 1.

Lets's calculate LCM of 762,1006

Lowest Common Multiple of 762,1006 using Common Division

2	762, 1006
	381, 503

∴ So the LCM of the given numbers is 2 x 381 x 503 = 383286

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/383286

Therefore, the GCF of Fractions 4509/762,7319/1006 is 1/383286

Least Common Multiple of 762,1006 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 762,1006 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,1006) = 2

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

GCF(762,1006) x common factors =2 x 1 = 2

LCM(762,1006) = ( 762 × 1006 ) / 2

LCM(762,1006) = 766572 / 2

LCM(762,1006) = 383286

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FAQs on GCF of Fractions of 4509/762, 7319/1006

1. What is the HCF of 4509,7319?

The HCF of 4509,7319 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 4509/762, 7319/1006?

Answer: GCF of Numerators as per given numbers 4509/762, 7319/1006 is

GCF of Numerators i.e. for 4509,7319 is 1

LCM of denominators i.e. for 762,1006 is 383286.

Thus, GCF of Fractions is 1/383286.Finally, GCF of Fractions for 4509/762, 7319/1006 is 1/383286.