How to Find GCF of 9364/940, 2030/8931?

GCF of 9364/940, 2030/8931

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 9364/940, 2030/8931 i.e 2/8395140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9364/940, 2030/8931.

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 9364/940,2030/8931?

Given fractions are 9364/940,2030/8931

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 9364/940,2030/8931, numerators are 9364,2030

Denominators are 940,8931

The GCF of 9364,2030 is 2 .

LCM of 940,8931 is 8395140.

The greatest common factor of 9364/940,2030/8931 = [GCF of 9364,2030]/[LCM of 940,8931]= 2/8395140

Therefore, the GCF of 9364/940,2030/8931 is 2/8395140.

Greatest Common Factor of 9364,2030

To find the highest common factor of 9364,2030, we have to find the factors of both numbers and list the highest common factor.

The factors of 9364 are 1, 2, 4, 2341, 4682, 9364

The factors of 2030 are 1, 2, 5, 7, 10, 14, 29, 35, 58, 70, 145, 203, 290, 406, 1015, 2030

The HCF of 9364,2030 is 2.

Lets's calculate GCF of 9364,2030

Greatest Common Factor (GCF) of 9364,2030 By Common Division

2	9364, 2030
	4682, 1015

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

Greatest Common Factor of 9364,2030 By Matching Biggest Common Factor Method

Now, list down the factors of 9364

1,2,4,2341,4682,9364

Now, list down the factors of 2030

1,2,5,7,10,14,29,35,58,70,145,203,290,406,1015,2030

Greatest Common Factor

We found the factors 9364,2030 . The biggest common factor number is the GCF number.
So the greatest common factor 9364,2030 is 2.

Lets's calculate LCM of 940,8931

Lowest Common Multiple of 940,8931 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8395140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8395140

Therefore, the GCF of Fractions 9364/940,2030/8931 is 2/8395140

Least Common Multiple of 940,8931 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 940,8931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(940,8931) = 1

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

GCF(940,8931) x common factors =1 x 1 = 1

LCM(940,8931) = ( 940 × 8931 ) / 1

LCM(940,8931) = 8395140 / 1

LCM(940,8931) = 8395140

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FAQs on GCF of Fractions of 9364/940, 2030/8931

1. What is the HCF of 9364,2030?

The HCF of 9364,2030 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 9364/940, 2030/8931?

Answer: GCF of Numerators as per given numbers 9364/940, 2030/8931 is

GCF of Numerators i.e. for 9364,2030 is 2

LCM of denominators i.e. for 940,8931 is 8395140.

Thus, GCF of Fractions is 2/8395140.Finally, GCF of Fractions for 9364/940, 2030/8931 is 2/8395140.