How to Find GCF of 5557/470, 8891/537?

GCF of 5557/470, 8891/537

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 5557/470, 8891/537 i.e 1/252390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5557/470, 8891/537.

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 5557/470,8891/537?

Given fractions are 5557/470,8891/537

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 5557/470,8891/537, numerators are 5557,8891

Denominators are 470,537

The GCF of 5557,8891 is 1 .

LCM of 470,537 is 252390.

The greatest common factor of 5557/470,8891/537 = [GCF of 5557,8891]/[LCM of 470,537]= 1/252390

Therefore, the GCF of 5557/470,8891/537 is 1/252390.

Greatest Common Factor of 5557,8891

To find the highest common factor of 5557,8891, we have to find the factors of both numbers and list the highest common factor.

The factors of 5557 are 1, 5557

The factors of 8891 are 1, 17, 523, 8891

The HCF of 5557,8891 is 1.

Lets's calculate GCF of 5557,8891

Greatest Common Factor (GCF) of 5557,8891 By Common Division

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

Greatest Common Factor of 5557,8891 By Matching Biggest Common Factor Method

Now, list down the factors of 5557

1,5557

Now, list down the factors of 8891

1,17,523,8891

Greatest Common Factor

We found the factors 5557,8891 . The biggest common factor number is the GCF number.
So the greatest common factor 5557,8891 is 1.

Lets's calculate LCM of 470,537

Lowest Common Multiple of 470,537 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 252390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/252390

Therefore, the GCF of Fractions 5557/470,8891/537 is 1/252390

Least Common Multiple of 470,537 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 470,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,537) = 1

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

GCF(470,537) x common factors =1 x 1 = 1

LCM(470,537) = ( 470 × 537 ) / 1

LCM(470,537) = 252390 / 1

LCM(470,537) = 252390

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FAQs on GCF of Fractions of 5557/470, 8891/537

1. What is the HCF of 5557,8891?

The HCF of 5557,8891 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 5557/470, 8891/537?

Answer: GCF of Numerators as per given numbers 5557/470, 8891/537 is

GCF of Numerators i.e. for 5557,8891 is 1

LCM of denominators i.e. for 470,537 is 252390.

Thus, GCF of Fractions is 1/252390.Finally, GCF of Fractions for 5557/470, 8891/537 is 1/252390.