How to Find GCF of 6530/744, 8502/199?

GCF of 6530/744, 8502/199

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 6530/744, 8502/199 i.e 2/148056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6530/744, 8502/199.

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 6530/744,8502/199?

Given fractions are 6530/744,8502/199

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 6530/744,8502/199, numerators are 6530,8502

Denominators are 744,199

The GCF of 6530,8502 is 2 .

LCM of 744,199 is 148056.

The greatest common factor of 6530/744,8502/199 = [GCF of 6530,8502]/[LCM of 744,199]= 2/148056

Therefore, the GCF of 6530/744,8502/199 is 2/148056.

Greatest Common Factor of 6530,8502

To find the highest common factor of 6530,8502, we have to find the factors of both numbers and list the highest common factor.

The factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530

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

The HCF of 6530,8502 is 2.

Lets's calculate GCF of 6530,8502

Greatest Common Factor (GCF) of 6530,8502 By Common Division

2	6530, 8502
	3265, 4251

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

Greatest Common Factor of 6530,8502 By Matching Biggest Common Factor Method

Now, list down the factors of 6530

1,2,5,10,653,1306,3265,6530

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 6530,8502 . The biggest common factor number is the GCF number.
So the greatest common factor 6530,8502 is 2.

Lets's calculate LCM of 744,199

Lowest Common Multiple of 744,199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 148056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/148056

Therefore, the GCF of Fractions 6530/744,8502/199 is 2/148056

Least Common Multiple of 744,199 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 744,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,199) = 1

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

GCF(744,199) x common factors =1 x 1 = 1

LCM(744,199) = ( 744 × 199 ) / 1

LCM(744,199) = 148056 / 1

LCM(744,199) = 148056

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FAQs on GCF of Fractions of 6530/744, 8502/199

1. What is the HCF of 6530,8502?

The HCF of 6530,8502 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 6530/744, 8502/199?

Answer: GCF of Numerators as per given numbers 6530/744, 8502/199 is

GCF of Numerators i.e. for 6530,8502 is 2

LCM of denominators i.e. for 744,199 is 148056.

Thus, GCF of Fractions is 2/148056.Finally, GCF of Fractions for 6530/744, 8502/199 is 2/148056.