How to Find GCF of 5700/470, 8872/3292?

GCF of 5700/470, 8872/3292

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 5700/470, 8872/3292 i.e 4/773620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5700/470, 8872/3292.

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 5700/470,8872/3292?

Given fractions are 5700/470,8872/3292

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 5700/470,8872/3292, numerators are 5700,8872

Denominators are 470,3292

The GCF of 5700,8872 is 4 .

LCM of 470,3292 is 773620.

The greatest common factor of 5700/470,8872/3292 = [GCF of 5700,8872]/[LCM of 470,3292]= 4/773620

Therefore, the GCF of 5700/470,8872/3292 is 4/773620.

Greatest Common Factor of 5700,8872

To find the highest common factor of 5700,8872, we have to find the factors of both numbers and list the highest common factor.

The factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700

The factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872

The HCF of 5700,8872 is 4.

Lets's calculate GCF of 5700,8872

Greatest Common Factor (GCF) of 5700,8872 By Common Division

2	5700, 8872
2	2850, 4436
	1425, 2218

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

Greatest Common Factor of 5700,8872 By Matching Biggest Common Factor Method

Now, list down the factors of 5700

1,2,3,4,5,6,10,12,15,19,20,25,30,38,50,57,60,75,76,95,100,114,150,190,228,285,300,380,475,570,950,1140,1425,1900,2850,5700

Now, list down the factors of 8872

1,2,4,8,1109,2218,4436,8872

Greatest Common Factor

We found the factors 5700,8872 . The biggest common factor number is the GCF number.
So the greatest common factor 5700,8872 is 4.

Lets's calculate LCM of 470,3292

Lowest Common Multiple of 470,3292 using Common Division

2	470, 3292
	235, 1646

∴ So the LCM of the given numbers is 2 x 235 x 1646 = 773620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/773620

Therefore, the GCF of Fractions 5700/470,8872/3292 is 4/773620

Least Common Multiple of 470,3292 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 470,3292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,3292) = 2

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

GCF(470,3292) x common factors =2 x 1 = 2

LCM(470,3292) = ( 470 × 3292 ) / 2

LCM(470,3292) = 1547240 / 2

LCM(470,3292) = 773620

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FAQs on GCF of Fractions of 5700/470, 8872/3292

1. What is the HCF of 5700,8872?

The HCF of 5700,8872 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 5700/470, 8872/3292?

Answer: GCF of Numerators as per given numbers 5700/470, 8872/3292 is

GCF of Numerators i.e. for 5700,8872 is 4

LCM of denominators i.e. for 470,3292 is 773620.

Thus, GCF of Fractions is 4/773620.Finally, GCF of Fractions for 5700/470, 8872/3292 is 4/773620.