How to Find GCF of 1790/180, 3980/9029?

GCF of 1790/180, 3980/9029

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 1790/180, 3980/9029 i.e 10/1625220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1790/180, 3980/9029.

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 1790/180,3980/9029?

Given fractions are 1790/180,3980/9029

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 1790/180,3980/9029, numerators are 1790,3980

Denominators are 180,9029

The GCF of 1790,3980 is 10 .

LCM of 180,9029 is 1625220.

The greatest common factor of 1790/180,3980/9029 = [GCF of 1790,3980]/[LCM of 180,9029]= 10/1625220

Therefore, the GCF of 1790/180,3980/9029 is 10/1625220.

Greatest Common Factor of 1790,3980

To find the highest common factor of 1790,3980, we have to find the factors of both numbers and list the highest common factor.

The factors of 1790 are 1, 2, 5, 10, 179, 358, 895, 1790

The factors of 3980 are 1, 2, 4, 5, 10, 20, 199, 398, 796, 995, 1990, 3980

The HCF of 1790,3980 is 10.

Lets's calculate GCF of 1790,3980

Greatest Common Factor (GCF) of 1790,3980 By Common Division

2	1790, 3980
5	895, 1990
	179, 398

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 1790,3980 By Matching Biggest Common Factor Method

Now, list down the factors of 1790

1,2,5,10,179,358,895,1790

Now, list down the factors of 3980

1,2,4,5,10,20,199,398,796,995,1990,3980

Greatest Common Factor

We found the factors 1790,3980 . The biggest common factor number is the GCF number.
So the greatest common factor 1790,3980 is 10.

Lets's calculate LCM of 180,9029

Lowest Common Multiple of 180,9029 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1625220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1625220

Therefore, the GCF of Fractions 1790/180,3980/9029 is 10/1625220

Least Common Multiple of 180,9029 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 180,9029 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,9029) = 1

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

GCF(180,9029) x common factors =1 x 1 = 1

LCM(180,9029) = ( 180 × 9029 ) / 1

LCM(180,9029) = 1625220 / 1

LCM(180,9029) = 1625220

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1790/180, 3980/9029

1. What is the HCF of 1790,3980?

The HCF of 1790,3980 is 10

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 1790/180, 3980/9029?

Answer: GCF of Numerators as per given numbers 1790/180, 3980/9029 is

GCF of Numerators i.e. for 1790,3980 is 10

LCM of denominators i.e. for 180,9029 is 1625220.

Thus, GCF of Fractions is 10/1625220.Finally, GCF of Fractions for 1790/180, 3980/9029 is 10/1625220.