How to Find GCF of 880/271, 590/721?

GCF of 880/271, 590/721

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 880/271, 590/721 i.e 10/195391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 880/271, 590/721.

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 880/271,590/721?

Given fractions are 880/271,590/721

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 880/271,590/721, numerators are 880,590

Denominators are 271,721

The GCF of 880,590 is 10 .

LCM of 271,721 is 195391.

The greatest common factor of 880/271,590/721 = [GCF of 880,590]/[LCM of 271,721]= 10/195391

Therefore, the GCF of 880/271,590/721 is 10/195391.

Greatest Common Factor of 880,590

To find the highest common factor of 880,590, we have to find the factors of both numbers and list the highest common factor.

The factors of 880 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590

The HCF of 880,590 is 10.

Lets's calculate GCF of 880,590

Greatest Common Factor (GCF) of 880,590 By Common Division

2	880, 590
5	440, 295
	88, 59

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

Greatest Common Factor of 880,590 By Matching Biggest Common Factor Method

Now, list down the factors of 880

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Now, list down the factors of 590

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 880,590 . The biggest common factor number is the GCF number.
So the greatest common factor 880,590 is 10.

Lets's calculate LCM of 271,721

Lowest Common Multiple of 271,721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 195391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/195391

Therefore, the GCF of Fractions 880/271,590/721 is 10/195391

Least Common Multiple of 271,721 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 271,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,721) = 1

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

GCF(271,721) x common factors =1 x 1 = 1

LCM(271,721) = ( 271 × 721 ) / 1

LCM(271,721) = 195391 / 1

LCM(271,721) = 195391

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FAQs on GCF of Fractions of 880/271, 590/721

1. What is the HCF of 880,590?

The HCF of 880,590 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 880/271, 590/721?

Answer: GCF of Numerators as per given numbers 880/271, 590/721 is

GCF of Numerators i.e. for 880,590 is 10

LCM of denominators i.e. for 271,721 is 195391.

Thus, GCF of Fractions is 10/195391.Finally, GCF of Fractions for 880/271, 590/721 is 10/195391.