How to Find GCF of 8526/300, 2168/740?

GCF of 8526/300, 2168/740

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 8526/300, 2168/740 i.e 2/11100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8526/300, 2168/740.

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 8526/300,2168/740?

Given fractions are 8526/300,2168/740

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 8526/300,2168/740, numerators are 8526,2168

Denominators are 300,740

The GCF of 8526,2168 is 2 .

LCM of 300,740 is 11100.

The greatest common factor of 8526/300,2168/740 = [GCF of 8526,2168]/[LCM of 300,740]= 2/11100

Therefore, the GCF of 8526/300,2168/740 is 2/11100.

Greatest Common Factor of 8526,2168

To find the highest common factor of 8526,2168, we have to find the factors of both numbers and list the highest common factor.

The factors of 8526 are 1, 2, 3, 6, 7, 14, 21, 29, 42, 49, 58, 87, 98, 147, 174, 203, 294, 406, 609, 1218, 1421, 2842, 4263, 8526

The factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168

The HCF of 8526,2168 is 2.

Lets's calculate GCF of 8526,2168

Greatest Common Factor (GCF) of 8526,2168 By Common Division

2	8526, 2168
	4263, 1084

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

Greatest Common Factor of 8526,2168 By Matching Biggest Common Factor Method

Now, list down the factors of 8526

1,2,3,6,7,14,21,29,42,49,58,87,98,147,174,203,294,406,609,1218,1421,2842,4263,8526

Now, list down the factors of 2168

1,2,4,8,271,542,1084,2168

Greatest Common Factor

We found the factors 8526,2168 . The biggest common factor number is the GCF number.
So the greatest common factor 8526,2168 is 2.

Lets's calculate LCM of 300,740

Lowest Common Multiple of 300,740 using Common Division

2	300, 740
2	150, 370
5	75, 185
	15, 37

∴ So the LCM of the given numbers is 2 x 2 x 5 x 15 x 37 = 11100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11100

Therefore, the GCF of Fractions 8526/300,2168/740 is 2/11100

Least Common Multiple of 300,740 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 300,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,740) = 20

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

GCF(300,740) x common factors =20 x 1 = 20

LCM(300,740) = ( 300 × 740 ) / 20

LCM(300,740) = 222000 / 20

LCM(300,740) = 11100

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FAQs on GCF of Fractions of 8526/300, 2168/740

1. What is the HCF of 8526,2168?

The HCF of 8526,2168 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 8526/300, 2168/740?

Answer: GCF of Numerators as per given numbers 8526/300, 2168/740 is

GCF of Numerators i.e. for 8526,2168 is 2

LCM of denominators i.e. for 300,740 is 11100.

Thus, GCF of Fractions is 2/11100.Finally, GCF of Fractions for 8526/300, 2168/740 is 2/11100.