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GCF of 9742/150, 1479/1036

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 9742/150, 1479/1036 i.e 1/77700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9742/150, 1479/1036.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9742/150,1479/1036?

Given fractions are 9742/150,1479/1036

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 9742/150,1479/1036, numerators are 9742,1479

Denominators are 150,1036

The GCF of 9742,1479 is 1 .

LCM of 150,1036 is 77700.

The greatest common factor of 9742/150,1479/1036 = [GCF of 9742,1479]/[LCM of 150,1036]= 1/77700

Therefore, the GCF of 9742/150,1479/1036 is 1/77700.

Greatest Common Factor of 9742,1479

To find the highest common factor of 9742,1479, we have to find the factors of both numbers and list the highest common factor.

The factors of 9742 are 1, 2, 4871, 9742

The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479

The HCF of 9742,1479 is 1.

Lets's calculate GCF of 9742,1479

Greatest Common Factor (GCF) of 9742,1479 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9742,1479 By Matching Biggest Common Factor Method

Greatest Common Factor of 9742,1479 By Matching Biggest Common Factor Method

Now, list down the factors of 9742

:

1,2,4871,9742

Now, list down the factors of 1479

:

1,3,17,29,51,87,493,1479

Greatest Common Factor

We found the factors 9742,1479 . The biggest common factor number is the GCF number.
So the greatest common factor 9742,1479 is 1.

Lets's calculate LCM of 150,1036

Lowest Common Multiple of 150,1036 using Common Division

2 150, 1036
75, 518

∴ So the LCM of the given numbers is 2 x 75 x 518 = 77700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77700

Therefore, the GCF of Fractions 9742/150,1479/1036 is 1/77700

Least Common Multiple of 150,1036 with GCF Formula

Least Common Multiple of 150,1036 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 150,1036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,1036) = 2

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

GCF(150,1036) x common factors =2 x 1 = 2

LCM(150,1036) = ( 150 × 1036 ) / 2

LCM(150,1036) = 155400 / 2

LCM(150,1036) = 77700


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9742/150, 1479/1036

1. What is the HCF of 9742,1479?

The HCF of 9742,1479 is 1

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 9742/150, 1479/1036?

Answer: GCF of Numerators as per given numbers 9742/150, 1479/1036 is

GCF of Numerators i.e. for 9742,1479 is 1

LCM of denominators i.e. for 150,1036 is 77700.

Thus, GCF of Fractions is 1/77700.Finally, GCF of Fractions for 9742/150, 1479/1036 is 1/77700.