How to Find GCF of 5605/539, 5894/4750?

GCF of 5605/539, 5894/4750

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 5605/539, 5894/4750 i.e 1/2560250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5605/539, 5894/4750.

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 5605/539,5894/4750?

Given fractions are 5605/539,5894/4750

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 5605/539,5894/4750, numerators are 5605,5894

Denominators are 539,4750

The GCF of 5605,5894 is 1 .

LCM of 539,4750 is 2560250.

The greatest common factor of 5605/539,5894/4750 = [GCF of 5605,5894]/[LCM of 539,4750]= 1/2560250

Therefore, the GCF of 5605/539,5894/4750 is 1/2560250.

Greatest Common Factor of 5605,5894

To find the highest common factor of 5605,5894, we have to find the factors of both numbers and list the highest common factor.

The factors of 5605 are 1, 5, 19, 59, 95, 295, 1121, 5605

The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894

The HCF of 5605,5894 is 1.

Lets's calculate GCF of 5605,5894

Greatest Common Factor (GCF) of 5605,5894 By Common Division

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

Greatest Common Factor of 5605,5894 By Matching Biggest Common Factor Method

Now, list down the factors of 5605

1,5,19,59,95,295,1121,5605

Now, list down the factors of 5894

1,2,7,14,421,842,2947,5894

Greatest Common Factor

We found the factors 5605,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 5605,5894 is 1.

Lets's calculate LCM of 539,4750

Lowest Common Multiple of 539,4750 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2560250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2560250

Therefore, the GCF of Fractions 5605/539,5894/4750 is 1/2560250

Least Common Multiple of 539,4750 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 539,4750 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(539,4750) = 1

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

GCF(539,4750) x common factors =1 x 1 = 1

LCM(539,4750) = ( 539 × 4750 ) / 1

LCM(539,4750) = 2560250 / 1

LCM(539,4750) = 2560250

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FAQs on GCF of Fractions of 5605/539, 5894/4750

1. What is the HCF of 5605,5894?

The HCF of 5605,5894 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 5605/539, 5894/4750?

Answer: GCF of Numerators as per given numbers 5605/539, 5894/4750 is

GCF of Numerators i.e. for 5605,5894 is 1

LCM of denominators i.e. for 539,4750 is 2560250.

Thus, GCF of Fractions is 1/2560250.Finally, GCF of Fractions for 5605/539, 5894/4750 is 1/2560250.