How to Find GCF of 590/554, 5270/2703?

GCF of 590/554, 5270/2703

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 590/554, 5270/2703 i.e 10/1497462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/554, 5270/2703.

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 590/554,5270/2703?

Given fractions are 590/554,5270/2703

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 590/554,5270/2703, numerators are 590,5270

Denominators are 554,2703

The GCF of 590,5270 is 10 .

LCM of 554,2703 is 1497462.

The greatest common factor of 590/554,5270/2703 = [GCF of 590,5270]/[LCM of 554,2703]= 10/1497462

Therefore, the GCF of 590/554,5270/2703 is 10/1497462.

Greatest Common Factor of 590,5270

To find the highest common factor of 590,5270, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 5270 are 1, 2, 5, 10, 17, 31, 34, 62, 85, 155, 170, 310, 527, 1054, 2635, 5270

The HCF of 590,5270 is 10.

Lets's calculate GCF of 590,5270

Greatest Common Factor (GCF) of 590,5270 By Common Division

2	590, 5270
5	295, 2635
	59, 527

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

Greatest Common Factor of 590,5270 By Matching Biggest Common Factor Method

Now, list down the factors of 590

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

Now, list down the factors of 5270

1,2,5,10,17,31,34,62,85,155,170,310,527,1054,2635,5270

Greatest Common Factor

We found the factors 590,5270 . The biggest common factor number is the GCF number.
So the greatest common factor 590,5270 is 10.

Lets's calculate LCM of 554,2703

Lowest Common Multiple of 554,2703 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1497462

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1497462

Therefore, the GCF of Fractions 590/554,5270/2703 is 10/1497462

Least Common Multiple of 554,2703 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 554,2703 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(554,2703) = 1

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

GCF(554,2703) x common factors =1 x 1 = 1

LCM(554,2703) = ( 554 × 2703 ) / 1

LCM(554,2703) = 1497462 / 1

LCM(554,2703) = 1497462

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FAQs on GCF of Fractions of 590/554, 5270/2703

1. What is the HCF of 590,5270?

The HCF of 590,5270 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 590/554, 5270/2703?

Answer: GCF of Numerators as per given numbers 590/554, 5270/2703 is

GCF of Numerators i.e. for 590,5270 is 10

LCM of denominators i.e. for 554,2703 is 1497462.

Thus, GCF of Fractions is 10/1497462.Finally, GCF of Fractions for 590/554, 5270/2703 is 10/1497462.