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GCF of 503/300, 8669/151

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 503/300, 8669/151 i.e 1/45300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 503/300, 8669/151.

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 503/300,8669/151?

Given fractions are 503/300,8669/151

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 503/300,8669/151, numerators are 503,8669

Denominators are 300,151

The GCF of 503,8669 is 1 .

LCM of 300,151 is 45300.

The greatest common factor of 503/300,8669/151 = [GCF of 503,8669]/[LCM of 300,151]= 1/45300

Therefore, the GCF of 503/300,8669/151 is 1/45300.

Greatest Common Factor of 503,8669

To find the highest common factor of 503,8669, we have to find the factors of both numbers and list the highest common factor.

The factors of 503 are 1, 503

The factors of 8669 are 1, 8669

The HCF of 503,8669 is 1.

Lets's calculate GCF of 503,8669

Greatest Common Factor (GCF) of 503,8669 By Common Division

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

Greatest Common Factor of 503,8669 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,8669 By Matching Biggest Common Factor Method

Now, list down the factors of 503

:

1,503

Now, list down the factors of 8669

:

1,8669

Greatest Common Factor

We found the factors 503,8669 . The biggest common factor number is the GCF number.
So the greatest common factor 503,8669 is 1.

Lets's calculate LCM of 300,151

Lowest Common Multiple of 300,151 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 45300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45300

Therefore, the GCF of Fractions 503/300,8669/151 is 1/45300

Least Common Multiple of 300,151 with GCF Formula

Least Common Multiple of 300,151 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 300,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,151) = 1

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

GCF(300,151) x common factors =1 x 1 = 1

LCM(300,151) = ( 300 × 151 ) / 1

LCM(300,151) = 45300 / 1

LCM(300,151) = 45300


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FAQs on GCF of Fractions of 503/300, 8669/151

1. What is the HCF of 503,8669?

The HCF of 503,8669 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 503/300, 8669/151?

Answer: GCF of Numerators as per given numbers 503/300, 8669/151 is

GCF of Numerators i.e. for 503,8669 is 1

LCM of denominators i.e. for 300,151 is 45300.

Thus, GCF of Fractions is 1/45300.Finally, GCF of Fractions for 503/300, 8669/151 is 1/45300.