How to Find GCF of 5581/625, 2573/1758?

GCF of 5581/625, 2573/1758

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 5581/625, 2573/1758 i.e 1/1098750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5581/625, 2573/1758.

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 5581/625,2573/1758?

Given fractions are 5581/625,2573/1758

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 5581/625,2573/1758, numerators are 5581,2573

Denominators are 625,1758

The GCF of 5581,2573 is 1 .

LCM of 625,1758 is 1098750.

The greatest common factor of 5581/625,2573/1758 = [GCF of 5581,2573]/[LCM of 625,1758]= 1/1098750

Therefore, the GCF of 5581/625,2573/1758 is 1/1098750.

Greatest Common Factor of 5581,2573

To find the highest common factor of 5581,2573, we have to find the factors of both numbers and list the highest common factor.

The factors of 5581 are 1, 5581

The factors of 2573 are 1, 31, 83, 2573

The HCF of 5581,2573 is 1.

Lets's calculate GCF of 5581,2573

Greatest Common Factor (GCF) of 5581,2573 By Common Division

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

Greatest Common Factor of 5581,2573 By Matching Biggest Common Factor Method

Now, list down the factors of 5581

1,5581

Now, list down the factors of 2573

1,31,83,2573

Greatest Common Factor

We found the factors 5581,2573 . The biggest common factor number is the GCF number.
So the greatest common factor 5581,2573 is 1.

Lets's calculate LCM of 625,1758

Lowest Common Multiple of 625,1758 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1098750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1098750

Therefore, the GCF of Fractions 5581/625,2573/1758 is 1/1098750

Least Common Multiple of 625,1758 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 625,1758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,1758) = 1

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

GCF(625,1758) x common factors =1 x 1 = 1

LCM(625,1758) = ( 625 × 1758 ) / 1

LCM(625,1758) = 1098750 / 1

LCM(625,1758) = 1098750

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FAQs on GCF of Fractions of 5581/625, 2573/1758

1. What is the HCF of 5581,2573?

The HCF of 5581,2573 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 5581/625, 2573/1758?

Answer: GCF of Numerators as per given numbers 5581/625, 2573/1758 is

GCF of Numerators i.e. for 5581,2573 is 1

LCM of denominators i.e. for 625,1758 is 1098750.

Thus, GCF of Fractions is 1/1098750.Finally, GCF of Fractions for 5581/625, 2573/1758 is 1/1098750.