How to Find GCF of 5932/850, 8320/706?

GCF of 5932/850, 8320/706

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 5932/850, 8320/706 i.e 4/300050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5932/850, 8320/706.

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 5932/850,8320/706?

Given fractions are 5932/850,8320/706

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 5932/850,8320/706, numerators are 5932,8320

Denominators are 850,706

The GCF of 5932,8320 is 4 .

LCM of 850,706 is 300050.

The greatest common factor of 5932/850,8320/706 = [GCF of 5932,8320]/[LCM of 850,706]= 4/300050

Therefore, the GCF of 5932/850,8320/706 is 4/300050.

Greatest Common Factor of 5932,8320

To find the highest common factor of 5932,8320, we have to find the factors of both numbers and list the highest common factor.

The factors of 5932 are 1, 2, 4, 1483, 2966, 5932

The factors of 8320 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 128, 130, 160, 208, 260, 320, 416, 520, 640, 832, 1040, 1664, 2080, 4160, 8320

The HCF of 5932,8320 is 4.

Lets's calculate GCF of 5932,8320

Greatest Common Factor (GCF) of 5932,8320 By Common Division

2	5932, 8320
2	2966, 4160
	1483, 2080

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

Greatest Common Factor of 5932,8320 By Matching Biggest Common Factor Method

Now, list down the factors of 5932

1,2,4,1483,2966,5932

Now, list down the factors of 8320

1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,128,130,160,208,260,320,416,520,640,832,1040,1664,2080,4160,8320

Greatest Common Factor

We found the factors 5932,8320 . The biggest common factor number is the GCF number.
So the greatest common factor 5932,8320 is 4.

Lets's calculate LCM of 850,706

Lowest Common Multiple of 850,706 using Common Division

2	850, 706
	425, 353

∴ So the LCM of the given numbers is 2 x 425 x 353 = 300050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/300050

Therefore, the GCF of Fractions 5932/850,8320/706 is 4/300050

Least Common Multiple of 850,706 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 850,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,706) = 2

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

GCF(850,706) x common factors =2 x 1 = 2

LCM(850,706) = ( 850 × 706 ) / 2

LCM(850,706) = 600100 / 2

LCM(850,706) = 300050

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5932/850, 8320/706

1. What is the HCF of 5932,8320?

The HCF of 5932,8320 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 5932/850, 8320/706?

Answer: GCF of Numerators as per given numbers 5932/850, 8320/706 is

GCF of Numerators i.e. for 5932,8320 is 4

LCM of denominators i.e. for 850,706 is 300050.

Thus, GCF of Fractions is 4/300050.Finally, GCF of Fractions for 5932/850, 8320/706 is 4/300050.