How to Find GCF of 5524/640, 8788/4749?

GCF of 5524/640, 8788/4749

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 5524/640, 8788/4749 i.e 4/3039360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5524/640, 8788/4749.

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 5524/640,8788/4749?

Given fractions are 5524/640,8788/4749

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 5524/640,8788/4749, numerators are 5524,8788

Denominators are 640,4749

The GCF of 5524,8788 is 4 .

LCM of 640,4749 is 3039360.

The greatest common factor of 5524/640,8788/4749 = [GCF of 5524,8788]/[LCM of 640,4749]= 4/3039360

Therefore, the GCF of 5524/640,8788/4749 is 4/3039360.

Greatest Common Factor of 5524,8788

To find the highest common factor of 5524,8788, we have to find the factors of both numbers and list the highest common factor.

The factors of 5524 are 1, 2, 4, 1381, 2762, 5524

The factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788

The HCF of 5524,8788 is 4.

Lets's calculate GCF of 5524,8788

Greatest Common Factor (GCF) of 5524,8788 By Common Division

2	5524, 8788
2	2762, 4394
	1381, 2197

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5524,8788 By Matching Biggest Common Factor Method

Now, list down the factors of 5524

1,2,4,1381,2762,5524

Now, list down the factors of 8788

1,2,4,13,26,52,169,338,676,2197,4394,8788

Greatest Common Factor

We found the factors 5524,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 5524,8788 is 4.

Lets's calculate LCM of 640,4749

Lowest Common Multiple of 640,4749 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3039360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3039360

Therefore, the GCF of Fractions 5524/640,8788/4749 is 4/3039360

Least Common Multiple of 640,4749 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 640,4749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(640,4749) = 1

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

GCF(640,4749) x common factors =1 x 1 = 1

LCM(640,4749) = ( 640 × 4749 ) / 1

LCM(640,4749) = 3039360 / 1

LCM(640,4749) = 3039360

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FAQs on GCF of Fractions of 5524/640, 8788/4749

1. What is the HCF of 5524,8788?

The HCF of 5524,8788 is 4

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 5524/640, 8788/4749?

Answer: GCF of Numerators as per given numbers 5524/640, 8788/4749 is

GCF of Numerators i.e. for 5524,8788 is 4

LCM of denominators i.e. for 640,4749 is 3039360.

Thus, GCF of Fractions is 4/3039360.Finally, GCF of Fractions for 5524/640, 8788/4749 is 4/3039360.