How to Find GCF of 559/319, 705/446?

GCF of 559/319, 705/446

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 559/319, 705/446 i.e 1/142274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 559/319, 705/446.

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 559/319,705/446?

Given fractions are 559/319,705/446

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 559/319,705/446, numerators are 559,705

Denominators are 319,446

The GCF of 559,705 is 1 .

LCM of 319,446 is 142274.

The greatest common factor of 559/319,705/446 = [GCF of 559,705]/[LCM of 319,446]= 1/142274

Therefore, the GCF of 559/319,705/446 is 1/142274.

Greatest Common Factor of 559,705

To find the highest common factor of 559,705, we have to find the factors of both numbers and list the highest common factor.

The factors of 559 are 1, 13, 43, 559

The factors of 705 are 1, 3, 5, 15, 47, 141, 235, 705

The HCF of 559,705 is 1.

Lets's calculate GCF of 559,705

Greatest Common Factor (GCF) of 559,705 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 559,705 By Matching Biggest Common Factor Method

Now, list down the factors of 559

1,13,43,559

Now, list down the factors of 705

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 559,705 . The biggest common factor number is the GCF number.
So the greatest common factor 559,705 is 1.

Lets's calculate LCM of 319,446

Lowest Common Multiple of 319,446 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 142274

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142274

Therefore, the GCF of Fractions 559/319,705/446 is 1/142274

Least Common Multiple of 319,446 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 319,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,446) = 1

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

GCF(319,446) x common factors =1 x 1 = 1

LCM(319,446) = ( 319 × 446 ) / 1

LCM(319,446) = 142274 / 1

LCM(319,446) = 142274

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FAQs on GCF of Fractions of 559/319, 705/446

1. What is the HCF of 559,705?

The HCF of 559,705 is 1

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 559/319, 705/446?

Answer: GCF of Numerators as per given numbers 559/319, 705/446 is

GCF of Numerators i.e. for 559,705 is 1

LCM of denominators i.e. for 319,446 is 142274.

Thus, GCF of Fractions is 1/142274.Finally, GCF of Fractions for 559/319, 705/446 is 1/142274.