How to Find GCF of 4480/39, 7688/440?

GCF of 4480/39, 7688/440

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 4480/39, 7688/440 i.e 8/17160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4480/39, 7688/440.

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 4480/39,7688/440?

Given fractions are 4480/39,7688/440

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 4480/39,7688/440, numerators are 4480,7688

Denominators are 39,440

The GCF of 4480,7688 is 8 .

LCM of 39,440 is 17160.

The greatest common factor of 4480/39,7688/440 = [GCF of 4480,7688]/[LCM of 39,440]= 8/17160

Therefore, the GCF of 4480/39,7688/440 is 8/17160.

Greatest Common Factor of 4480,7688

To find the highest common factor of 4480,7688, we have to find the factors of both numbers and list the highest common factor.

The factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480

The factors of 7688 are 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922, 3844, 7688

The HCF of 4480,7688 is 8.

Lets's calculate GCF of 4480,7688

Greatest Common Factor (GCF) of 4480,7688 By Common Division

2	4480, 7688
2	2240, 3844
2	1120, 1922
	560, 961

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 4480,7688 By Matching Biggest Common Factor Method

Now, list down the factors of 4480

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480

Now, list down the factors of 7688

1,2,4,8,31,62,124,248,961,1922,3844,7688

Greatest Common Factor

We found the factors 4480,7688 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,7688 is 8.

Lets's calculate LCM of 39,440

Lowest Common Multiple of 39,440 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 17160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/17160

Therefore, the GCF of Fractions 4480/39,7688/440 is 8/17160

Least Common Multiple of 39,440 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 39,440 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,440) = 1

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

GCF(39,440) x common factors =1 x 1 = 1

LCM(39,440) = ( 39 × 440 ) / 1

LCM(39,440) = 17160 / 1

LCM(39,440) = 17160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 4480/39, 7688/440

1. What is the HCF of 4480,7688?

The HCF of 4480,7688 is 8

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 4480/39, 7688/440?

Answer: GCF of Numerators as per given numbers 4480/39, 7688/440 is

GCF of Numerators i.e. for 4480,7688 is 8

LCM of denominators i.e. for 39,440 is 17160.

Thus, GCF of Fractions is 8/17160.Finally, GCF of Fractions for 4480/39, 7688/440 is 8/17160.