How to Find GCF of 9440/448, 5487/7396?

GCF of 9440/448, 5487/7396

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 9440/448, 5487/7396 i.e 59/828352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9440/448, 5487/7396.

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 9440/448,5487/7396?

Given fractions are 9440/448,5487/7396

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 9440/448,5487/7396, numerators are 9440,5487

Denominators are 448,7396

The GCF of 9440,5487 is 59 .

LCM of 448,7396 is 828352.

The greatest common factor of 9440/448,5487/7396 = [GCF of 9440,5487]/[LCM of 448,7396]= 59/828352

Therefore, the GCF of 9440/448,5487/7396 is 59/828352.

Greatest Common Factor of 9440,5487

To find the highest common factor of 9440,5487, we have to find the factors of both numbers and list the highest common factor.

The factors of 9440 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 59, 80, 118, 160, 236, 295, 472, 590, 944, 1180, 1888, 2360, 4720, 9440

The factors of 5487 are 1, 3, 31, 59, 93, 177, 1829, 5487

The HCF of 9440,5487 is 59.

Lets's calculate GCF of 9440,5487

Greatest Common Factor (GCF) of 9440,5487 By Common Division

59	9440, 5487
	160, 93

∴ So the GCF of the given numbers is 59 = 59

Greatest Common Factor of 9440,5487 By Matching Biggest Common Factor Method

Now, list down the factors of 9440

1,2,4,5,8,10,16,20,32,40,59,80,118,160,236,295,472,590,944,1180,1888,2360,4720,9440

Now, list down the factors of 5487

1,3,31,59,93,177,1829,5487

Greatest Common Factor

We found the factors 9440,5487 . The biggest common factor number is the GCF number.
So the greatest common factor 9440,5487 is 59.

Lets's calculate LCM of 448,7396

Lowest Common Multiple of 448,7396 using Common Division

2	448, 7396
2	224, 3698
	112, 1849

∴ So the LCM of the given numbers is 2 x 2 x 112 x 1849 = 828352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/828352

Therefore, the GCF of Fractions 9440/448,5487/7396 is 59/828352

Least Common Multiple of 448,7396 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 448,7396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,7396) = 4

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

GCF(448,7396) x common factors =4 x 1 = 4

LCM(448,7396) = ( 448 × 7396 ) / 4

LCM(448,7396) = 3313408 / 4

LCM(448,7396) = 828352

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FAQs on GCF of Fractions of 9440/448, 5487/7396

1. What is the HCF of 9440,5487?

The HCF of 9440,5487 is 59

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 9440/448, 5487/7396?

Answer: GCF of Numerators as per given numbers 9440/448, 5487/7396 is

GCF of Numerators i.e. for 9440,5487 is 59

LCM of denominators i.e. for 448,7396 is 828352.

Thus, GCF of Fractions is 59/828352.Finally, GCF of Fractions for 9440/448, 5487/7396 is 59/828352.