How to Find GCF of 8530/647, 8502/2444?

GCF of 8530/647, 8502/2444

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 8530/647, 8502/2444 i.e 2/1581268 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8530/647, 8502/2444.

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 8530/647,8502/2444?

Given fractions are 8530/647,8502/2444

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 8530/647,8502/2444, numerators are 8530,8502

Denominators are 647,2444

The GCF of 8530,8502 is 2 .

LCM of 647,2444 is 1581268.

The greatest common factor of 8530/647,8502/2444 = [GCF of 8530,8502]/[LCM of 647,2444]= 2/1581268

Therefore, the GCF of 8530/647,8502/2444 is 2/1581268.

Greatest Common Factor of 8530,8502

To find the highest common factor of 8530,8502, we have to find the factors of both numbers and list the highest common factor.

The factors of 8530 are 1, 2, 5, 10, 853, 1706, 4265, 8530

The factors of 8502 are 1, 2, 3, 6, 13, 26, 39, 78, 109, 218, 327, 654, 1417, 2834, 4251, 8502

The HCF of 8530,8502 is 2.

Lets's calculate GCF of 8530,8502

Greatest Common Factor (GCF) of 8530,8502 By Common Division

2	8530, 8502
	4265, 4251

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8530,8502 By Matching Biggest Common Factor Method

Now, list down the factors of 8530

1,2,5,10,853,1706,4265,8530

Now, list down the factors of 8502

1,2,3,6,13,26,39,78,109,218,327,654,1417,2834,4251,8502

Greatest Common Factor

We found the factors 8530,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 8530,8502 is 2.

Lets's calculate LCM of 647,2444

Lowest Common Multiple of 647,2444 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1581268

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1581268

Therefore, the GCF of Fractions 8530/647,8502/2444 is 2/1581268

Least Common Multiple of 647,2444 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 647,2444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,2444) = 1

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

GCF(647,2444) x common factors =1 x 1 = 1

LCM(647,2444) = ( 647 × 2444 ) / 1

LCM(647,2444) = 1581268 / 1

LCM(647,2444) = 1581268

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FAQs on GCF of Fractions of 8530/647, 8502/2444

1. What is the HCF of 8530,8502?

The HCF of 8530,8502 is 2

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 8530/647, 8502/2444?

Answer: GCF of Numerators as per given numbers 8530/647, 8502/2444 is

GCF of Numerators i.e. for 8530,8502 is 2

LCM of denominators i.e. for 647,2444 is 1581268.

Thus, GCF of Fractions is 2/1581268.Finally, GCF of Fractions for 8530/647, 8502/2444 is 2/1581268.