How to Find GCF of 6334/530, 1742/9530?

GCF of 6334/530, 1742/9530

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 6334/530, 1742/9530 i.e 2/505090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6334/530, 1742/9530.

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 6334/530,1742/9530?

Given fractions are 6334/530,1742/9530

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 6334/530,1742/9530, numerators are 6334,1742

Denominators are 530,9530

The GCF of 6334,1742 is 2 .

LCM of 530,9530 is 505090.

The greatest common factor of 6334/530,1742/9530 = [GCF of 6334,1742]/[LCM of 530,9530]= 2/505090

Therefore, the GCF of 6334/530,1742/9530 is 2/505090.

Greatest Common Factor of 6334,1742

To find the highest common factor of 6334,1742, we have to find the factors of both numbers and list the highest common factor.

The factors of 6334 are 1, 2, 3167, 6334

The factors of 1742 are 1, 2, 13, 26, 67, 134, 871, 1742

The HCF of 6334,1742 is 2.

Lets's calculate GCF of 6334,1742

Greatest Common Factor (GCF) of 6334,1742 By Common Division

2	6334, 1742
	3167, 871

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

Greatest Common Factor of 6334,1742 By Matching Biggest Common Factor Method

Now, list down the factors of 6334

1,2,3167,6334

Now, list down the factors of 1742

1,2,13,26,67,134,871,1742

Greatest Common Factor

We found the factors 6334,1742 . The biggest common factor number is the GCF number.
So the greatest common factor 6334,1742 is 2.

Lets's calculate LCM of 530,9530

Lowest Common Multiple of 530,9530 using Common Division

2	530, 9530
5	265, 4765
	53, 953

∴ So the LCM of the given numbers is 2 x 5 x 53 x 953 = 505090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/505090

Therefore, the GCF of Fractions 6334/530,1742/9530 is 2/505090

Least Common Multiple of 530,9530 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 530,9530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,9530) = 10

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

GCF(530,9530) x common factors =10 x 1 = 10

LCM(530,9530) = ( 530 × 9530 ) / 10

LCM(530,9530) = 5050900 / 10

LCM(530,9530) = 505090

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FAQs on GCF of Fractions of 6334/530, 1742/9530

1. What is the HCF of 6334,1742?

The HCF of 6334,1742 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 6334/530, 1742/9530?

Answer: GCF of Numerators as per given numbers 6334/530, 1742/9530 is

GCF of Numerators i.e. for 6334,1742 is 2

LCM of denominators i.e. for 530,9530 is 505090.

Thus, GCF of Fractions is 2/505090.Finally, GCF of Fractions for 6334/530, 1742/9530 is 2/505090.