How to Find GCF of 8757/510, 7603/323?

GCF of 8757/510, 7603/323

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 8757/510, 7603/323 i.e 1/9690 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8757/510, 7603/323.

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 8757/510,7603/323?

Given fractions are 8757/510,7603/323

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 8757/510,7603/323, numerators are 8757,7603

Denominators are 510,323

The GCF of 8757,7603 is 1 .

LCM of 510,323 is 9690.

The greatest common factor of 8757/510,7603/323 = [GCF of 8757,7603]/[LCM of 510,323]= 1/9690

Therefore, the GCF of 8757/510,7603/323 is 1/9690.

Greatest Common Factor of 8757,7603

To find the highest common factor of 8757,7603, we have to find the factors of both numbers and list the highest common factor.

The factors of 8757 are 1, 3, 7, 9, 21, 63, 139, 417, 973, 1251, 2919, 8757

The factors of 7603 are 1, 7603

The HCF of 8757,7603 is 1.

Lets's calculate GCF of 8757,7603

Greatest Common Factor (GCF) of 8757,7603 By Common Division

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

Greatest Common Factor of 8757,7603 By Matching Biggest Common Factor Method

Now, list down the factors of 8757

1,3,7,9,21,63,139,417,973,1251,2919,8757

Now, list down the factors of 7603

1,7603

Greatest Common Factor

We found the factors 8757,7603 . The biggest common factor number is the GCF number.
So the greatest common factor 8757,7603 is 1.

Lets's calculate LCM of 510,323

Lowest Common Multiple of 510,323 using Common Division

17	510, 323
	30, 19

∴ So the LCM of the given numbers is 17 x 30 x 19 = 9690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9690

Therefore, the GCF of Fractions 8757/510,7603/323 is 1/9690

Least Common Multiple of 510,323 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 510,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,323) = 17

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

GCF(510,323) x common factors =17 x 1 = 17

LCM(510,323) = ( 510 × 323 ) / 17

LCM(510,323) = 164730 / 17

LCM(510,323) = 9690

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FAQs on GCF of Fractions of 8757/510, 7603/323

1. What is the HCF of 8757,7603?

The HCF of 8757,7603 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 8757/510, 7603/323?

Answer: GCF of Numerators as per given numbers 8757/510, 7603/323 is

GCF of Numerators i.e. for 8757,7603 is 1

LCM of denominators i.e. for 510,323 is 9690.

Thus, GCF of Fractions is 1/9690.Finally, GCF of Fractions for 8757/510, 7603/323 is 1/9690.