How to Find GCF of 6092/128, 9670/9548?

GCF of 6092/128, 9670/9548

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 6092/128, 9670/9548 i.e 2/305536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6092/128, 9670/9548.

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 6092/128,9670/9548?

Given fractions are 6092/128,9670/9548

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 6092/128,9670/9548, numerators are 6092,9670

Denominators are 128,9548

The GCF of 6092,9670 is 2 .

LCM of 128,9548 is 305536.

The greatest common factor of 6092/128,9670/9548 = [GCF of 6092,9670]/[LCM of 128,9548]= 2/305536

Therefore, the GCF of 6092/128,9670/9548 is 2/305536.

Greatest Common Factor of 6092,9670

To find the highest common factor of 6092,9670, we have to find the factors of both numbers and list the highest common factor.

The factors of 6092 are 1, 2, 4, 1523, 3046, 6092

The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670

The HCF of 6092,9670 is 2.

Lets's calculate GCF of 6092,9670

Greatest Common Factor (GCF) of 6092,9670 By Common Division

2	6092, 9670
	3046, 4835

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

Greatest Common Factor of 6092,9670 By Matching Biggest Common Factor Method

Now, list down the factors of 6092

1,2,4,1523,3046,6092

Now, list down the factors of 9670

1,2,5,10,967,1934,4835,9670

Greatest Common Factor

We found the factors 6092,9670 . The biggest common factor number is the GCF number.
So the greatest common factor 6092,9670 is 2.

Lets's calculate LCM of 128,9548

Lowest Common Multiple of 128,9548 using Common Division

2	128, 9548
2	64, 4774
	32, 2387

∴ So the LCM of the given numbers is 2 x 2 x 32 x 2387 = 305536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305536

Therefore, the GCF of Fractions 6092/128,9670/9548 is 2/305536

Least Common Multiple of 128,9548 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 128,9548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(128,9548) = 4

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

GCF(128,9548) x common factors =4 x 1 = 4

LCM(128,9548) = ( 128 × 9548 ) / 4

LCM(128,9548) = 1222144 / 4

LCM(128,9548) = 305536

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FAQs on GCF of Fractions of 6092/128, 9670/9548

1. What is the HCF of 6092,9670?

The HCF of 6092,9670 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 6092/128, 9670/9548?

Answer: GCF of Numerators as per given numbers 6092/128, 9670/9548 is

GCF of Numerators i.e. for 6092,9670 is 2

LCM of denominators i.e. for 128,9548 is 305536.

Thus, GCF of Fractions is 2/305536.Finally, GCF of Fractions for 6092/128, 9670/9548 is 2/305536.