How to Find GCF of 9731/584, 1864/9539?

GCF of 9731/584, 1864/9539

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 9731/584, 1864/9539 i.e 1/5570776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9731/584, 1864/9539.

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 9731/584,1864/9539?

Given fractions are 9731/584,1864/9539

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 9731/584,1864/9539, numerators are 9731,1864

Denominators are 584,9539

The GCF of 9731,1864 is 1 .

LCM of 584,9539 is 5570776.

The greatest common factor of 9731/584,1864/9539 = [GCF of 9731,1864]/[LCM of 584,9539]= 1/5570776

Therefore, the GCF of 9731/584,1864/9539 is 1/5570776.

Greatest Common Factor of 9731,1864

To find the highest common factor of 9731,1864, we have to find the factors of both numbers and list the highest common factor.

The factors of 9731 are 1, 37, 263, 9731

The factors of 1864 are 1, 2, 4, 8, 233, 466, 932, 1864

The HCF of 9731,1864 is 1.

Lets's calculate GCF of 9731,1864

Greatest Common Factor (GCF) of 9731,1864 By Common Division

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

Greatest Common Factor of 9731,1864 By Matching Biggest Common Factor Method

Now, list down the factors of 9731

1,37,263,9731

Now, list down the factors of 1864

1,2,4,8,233,466,932,1864

Greatest Common Factor

We found the factors 9731,1864 . The biggest common factor number is the GCF number.
So the greatest common factor 9731,1864 is 1.

Lets's calculate LCM of 584,9539

Lowest Common Multiple of 584,9539 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5570776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5570776

Therefore, the GCF of Fractions 9731/584,1864/9539 is 1/5570776

Least Common Multiple of 584,9539 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 584,9539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,9539) = 1

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

GCF(584,9539) x common factors =1 x 1 = 1

LCM(584,9539) = ( 584 × 9539 ) / 1

LCM(584,9539) = 5570776 / 1

LCM(584,9539) = 5570776

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FAQs on GCF of Fractions of 9731/584, 1864/9539

1. What is the HCF of 9731,1864?

The HCF of 9731,1864 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 9731/584, 1864/9539?

Answer: GCF of Numerators as per given numbers 9731/584, 1864/9539 is

GCF of Numerators i.e. for 9731,1864 is 1

LCM of denominators i.e. for 584,9539 is 5570776.

Thus, GCF of Fractions is 1/5570776.Finally, GCF of Fractions for 9731/584, 1864/9539 is 1/5570776.