How to Find GCF of 9839/583, 7554/8622?

GCF of 9839/583, 7554/8622

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 9839/583, 7554/8622 i.e 1/5026626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9839/583, 7554/8622.

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 9839/583,7554/8622?

Given fractions are 9839/583,7554/8622

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 9839/583,7554/8622, numerators are 9839,7554

Denominators are 583,8622

The GCF of 9839,7554 is 1 .

LCM of 583,8622 is 5026626.

The greatest common factor of 9839/583,7554/8622 = [GCF of 9839,7554]/[LCM of 583,8622]= 1/5026626

Therefore, the GCF of 9839/583,7554/8622 is 1/5026626.

Greatest Common Factor of 9839,7554

To find the highest common factor of 9839,7554, we have to find the factors of both numbers and list the highest common factor.

The factors of 9839 are 1, 9839

The factors of 7554 are 1, 2, 3, 6, 1259, 2518, 3777, 7554

The HCF of 9839,7554 is 1.

Lets's calculate GCF of 9839,7554

Greatest Common Factor (GCF) of 9839,7554 By Common Division

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

Greatest Common Factor of 9839,7554 By Matching Biggest Common Factor Method

Now, list down the factors of 9839

1,9839

Now, list down the factors of 7554

1,2,3,6,1259,2518,3777,7554

Greatest Common Factor

We found the factors 9839,7554 . The biggest common factor number is the GCF number.
So the greatest common factor 9839,7554 is 1.

Lets's calculate LCM of 583,8622

Lowest Common Multiple of 583,8622 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5026626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5026626

Therefore, the GCF of Fractions 9839/583,7554/8622 is 1/5026626

Least Common Multiple of 583,8622 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 583,8622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(583,8622) = 1

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

GCF(583,8622) x common factors =1 x 1 = 1

LCM(583,8622) = ( 583 × 8622 ) / 1

LCM(583,8622) = 5026626 / 1

LCM(583,8622) = 5026626

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FAQs on GCF of Fractions of 9839/583, 7554/8622

1. What is the HCF of 9839,7554?

The HCF of 9839,7554 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 9839/583, 7554/8622?

Answer: GCF of Numerators as per given numbers 9839/583, 7554/8622 is

GCF of Numerators i.e. for 9839,7554 is 1

LCM of denominators i.e. for 583,8622 is 5026626.

Thus, GCF of Fractions is 1/5026626.Finally, GCF of Fractions for 9839/583, 7554/8622 is 1/5026626.