How to Find GCF of 3025/897, 1801/5853?

GCF of 3025/897, 1801/5853

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 3025/897, 1801/5853 i.e 1/1750047 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3025/897, 1801/5853.

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 3025/897,1801/5853?

Given fractions are 3025/897,1801/5853

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 3025/897,1801/5853, numerators are 3025,1801

Denominators are 897,5853

The GCF of 3025,1801 is 1 .

LCM of 897,5853 is 1750047.

The greatest common factor of 3025/897,1801/5853 = [GCF of 3025,1801]/[LCM of 897,5853]= 1/1750047

Therefore, the GCF of 3025/897,1801/5853 is 1/1750047.

Greatest Common Factor of 3025,1801

To find the highest common factor of 3025,1801, we have to find the factors of both numbers and list the highest common factor.

The factors of 3025 are 1, 5, 11, 25, 55, 121, 275, 605, 3025

The factors of 1801 are 1, 1801

The HCF of 3025,1801 is 1.

Lets's calculate GCF of 3025,1801

Greatest Common Factor (GCF) of 3025,1801 By Common Division

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

Greatest Common Factor of 3025,1801 By Matching Biggest Common Factor Method

Now, list down the factors of 3025

1,5,11,25,55,121,275,605,3025

Now, list down the factors of 1801

1,1801

Greatest Common Factor

We found the factors 3025,1801 . The biggest common factor number is the GCF number.
So the greatest common factor 3025,1801 is 1.

Lets's calculate LCM of 897,5853

Lowest Common Multiple of 897,5853 using Common Division

3	897, 5853
	299, 1951

∴ So the LCM of the given numbers is 3 x 299 x 1951 = 1750047

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1750047

Therefore, the GCF of Fractions 3025/897,1801/5853 is 1/1750047

Least Common Multiple of 897,5853 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 897,5853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,5853) = 3

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

GCF(897,5853) x common factors =3 x 1 = 3

LCM(897,5853) = ( 897 × 5853 ) / 3

LCM(897,5853) = 5250141 / 3

LCM(897,5853) = 1750047

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FAQs on GCF of Fractions of 3025/897, 1801/5853

1. What is the HCF of 3025,1801?

The HCF of 3025,1801 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 3025/897, 1801/5853?

Answer: GCF of Numerators as per given numbers 3025/897, 1801/5853 is

GCF of Numerators i.e. for 3025,1801 is 1

LCM of denominators i.e. for 897,5853 is 1750047.

Thus, GCF of Fractions is 1/1750047.Finally, GCF of Fractions for 3025/897, 1801/5853 is 1/1750047.