How to Find GCF of 9944/444, 9485/7548?

GCF of 9944/444, 9485/7548

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 9944/444, 9485/7548 i.e 1/7548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9944/444, 9485/7548.

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 9944/444,9485/7548?

Given fractions are 9944/444,9485/7548

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 9944/444,9485/7548, numerators are 9944,9485

Denominators are 444,7548

The GCF of 9944,9485 is 1 .

LCM of 444,7548 is 7548.

The greatest common factor of 9944/444,9485/7548 = [GCF of 9944,9485]/[LCM of 444,7548]= 1/7548

Therefore, the GCF of 9944/444,9485/7548 is 1/7548.

Greatest Common Factor of 9944,9485

To find the highest common factor of 9944,9485, we have to find the factors of both numbers and list the highest common factor.

The factors of 9944 are 1, 2, 4, 8, 11, 22, 44, 88, 113, 226, 452, 904, 1243, 2486, 4972, 9944

The factors of 9485 are 1, 5, 7, 35, 271, 1355, 1897, 9485

The HCF of 9944,9485 is 1.

Lets's calculate GCF of 9944,9485

Greatest Common Factor (GCF) of 9944,9485 By Common Division

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

Greatest Common Factor of 9944,9485 By Matching Biggest Common Factor Method

Now, list down the factors of 9944

1,2,4,8,11,22,44,88,113,226,452,904,1243,2486,4972,9944

Now, list down the factors of 9485

1,5,7,35,271,1355,1897,9485

Greatest Common Factor

We found the factors 9944,9485 . The biggest common factor number is the GCF number.
So the greatest common factor 9944,9485 is 1.

Lets's calculate LCM of 444,7548

Lowest Common Multiple of 444,7548 using Common Division

2	444, 7548
2	222, 3774
3	111, 1887
37	37, 629
	1, 17

∴ So the LCM of the given numbers is 2 x 2 x 3 x 37 x 1 x 17 = 7548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7548

Therefore, the GCF of Fractions 9944/444,9485/7548 is 1/7548

Least Common Multiple of 444,7548 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 444,7548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,7548) = 444

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

GCF(444,7548) x common factors =444 x 1 = 444

LCM(444,7548) = ( 444 × 7548 ) / 444

LCM(444,7548) = 3351312 / 444

LCM(444,7548) = 7548

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FAQs on GCF of Fractions of 9944/444, 9485/7548

1. What is the HCF of 9944,9485?

The HCF of 9944,9485 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 9944/444, 9485/7548?

Answer: GCF of Numerators as per given numbers 9944/444, 9485/7548 is

GCF of Numerators i.e. for 9944,9485 is 1

LCM of denominators i.e. for 444,7548 is 7548.

Thus, GCF of Fractions is 1/7548.Finally, GCF of Fractions for 9944/444, 9485/7548 is 1/7548.