How to Find GCF of 2200/175, 1684/732?

GCF of 2200/175, 1684/732

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 2200/175, 1684/732 i.e 4/128100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2200/175, 1684/732.

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 2200/175,1684/732?

Given fractions are 2200/175,1684/732

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 2200/175,1684/732, numerators are 2200,1684

Denominators are 175,732

The GCF of 2200,1684 is 4 .

LCM of 175,732 is 128100.

The greatest common factor of 2200/175,1684/732 = [GCF of 2200,1684]/[LCM of 175,732]= 4/128100

Therefore, the GCF of 2200/175,1684/732 is 4/128100.

Greatest Common Factor of 2200,1684

To find the highest common factor of 2200,1684, we have to find the factors of both numbers and list the highest common factor.

The factors of 2200 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 25, 40, 44, 50, 55, 88, 100, 110, 200, 220, 275, 440, 550, 1100, 2200

The factors of 1684 are 1, 2, 4, 421, 842, 1684

The HCF of 2200,1684 is 4.

Lets's calculate GCF of 2200,1684

Greatest Common Factor (GCF) of 2200,1684 By Common Division

2	2200, 1684
2	1100, 842
	550, 421

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

Greatest Common Factor of 2200,1684 By Matching Biggest Common Factor Method

Now, list down the factors of 2200

1,2,4,5,8,10,11,20,22,25,40,44,50,55,88,100,110,200,220,275,440,550,1100,2200

Now, list down the factors of 1684

1,2,4,421,842,1684

Greatest Common Factor

We found the factors 2200,1684 . The biggest common factor number is the GCF number.
So the greatest common factor 2200,1684 is 4.

Lets's calculate LCM of 175,732

Lowest Common Multiple of 175,732 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 128100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/128100

Therefore, the GCF of Fractions 2200/175,1684/732 is 4/128100

Least Common Multiple of 175,732 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 175,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,732) = 1

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

GCF(175,732) x common factors =1 x 1 = 1

LCM(175,732) = ( 175 × 732 ) / 1

LCM(175,732) = 128100 / 1

LCM(175,732) = 128100

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FAQs on GCF of Fractions of 2200/175, 1684/732

1. What is the HCF of 2200,1684?

The HCF of 2200,1684 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 2200/175, 1684/732?

Answer: GCF of Numerators as per given numbers 2200/175, 1684/732 is

GCF of Numerators i.e. for 2200,1684 is 4

LCM of denominators i.e. for 175,732 is 128100.

Thus, GCF of Fractions is 4/128100.Finally, GCF of Fractions for 2200/175, 1684/732 is 4/128100.