How to Find GCF of 7300/503, 8630/932?

GCF of 7300/503, 8630/932

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 7300/503, 8630/932 i.e 10/468796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7300/503, 8630/932.

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 7300/503,8630/932?

Given fractions are 7300/503,8630/932

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 7300/503,8630/932, numerators are 7300,8630

Denominators are 503,932

The GCF of 7300,8630 is 10 .

LCM of 503,932 is 468796.

The greatest common factor of 7300/503,8630/932 = [GCF of 7300,8630]/[LCM of 503,932]= 10/468796

Therefore, the GCF of 7300/503,8630/932 is 10/468796.

Greatest Common Factor of 7300,8630

To find the highest common factor of 7300,8630, we have to find the factors of both numbers and list the highest common factor.

The factors of 7300 are 1, 2, 4, 5, 10, 20, 25, 50, 73, 100, 146, 292, 365, 730, 1460, 1825, 3650, 7300

The factors of 8630 are 1, 2, 5, 10, 863, 1726, 4315, 8630

The HCF of 7300,8630 is 10.

Lets's calculate GCF of 7300,8630

Greatest Common Factor (GCF) of 7300,8630 By Common Division

2	7300, 8630
5	3650, 4315
	730, 863

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7300,8630 By Matching Biggest Common Factor Method

Now, list down the factors of 7300

1,2,4,5,10,20,25,50,73,100,146,292,365,730,1460,1825,3650,7300

Now, list down the factors of 8630

1,2,5,10,863,1726,4315,8630

Greatest Common Factor

We found the factors 7300,8630 . The biggest common factor number is the GCF number.
So the greatest common factor 7300,8630 is 10.

Lets's calculate LCM of 503,932

Lowest Common Multiple of 503,932 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 468796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/468796

Therefore, the GCF of Fractions 7300/503,8630/932 is 10/468796

Least Common Multiple of 503,932 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 503,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(503,932) = 1

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

GCF(503,932) x common factors =1 x 1 = 1

LCM(503,932) = ( 503 × 932 ) / 1

LCM(503,932) = 468796 / 1

LCM(503,932) = 468796

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FAQs on GCF of Fractions of 7300/503, 8630/932

1. What is the HCF of 7300,8630?

The HCF of 7300,8630 is 10

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 7300/503, 8630/932?

Answer: GCF of Numerators as per given numbers 7300/503, 8630/932 is

GCF of Numerators i.e. for 7300,8630 is 10

LCM of denominators i.e. for 503,932 is 468796.

Thus, GCF of Fractions is 10/468796.Finally, GCF of Fractions for 7300/503, 8630/932 is 10/468796.