How to Find GCF of 145/13, 5231/897?

GCF of 145/13, 5231/897

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 145/13, 5231/897 i.e 1/897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/13, 5231/897.

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 145/13,5231/897?

Given fractions are 145/13,5231/897

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 145/13,5231/897, numerators are 145,5231

Denominators are 13,897

The GCF of 145,5231 is 1 .

LCM of 13,897 is 897.

The greatest common factor of 145/13,5231/897 = [GCF of 145,5231]/[LCM of 13,897]= 1/897

Therefore, the GCF of 145/13,5231/897 is 1/897.

Greatest Common Factor of 145,5231

To find the highest common factor of 145,5231, we have to find the factors of both numbers and list the highest common factor.

The factors of 145 are 1, 5, 29, 145

The factors of 5231 are 1, 5231

The HCF of 145,5231 is 1.

Lets's calculate GCF of 145,5231

Greatest Common Factor (GCF) of 145,5231 By Common Division

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

Greatest Common Factor of 145,5231 By Matching Biggest Common Factor Method

Now, list down the factors of 145

1,5,29,145

Now, list down the factors of 5231

1,5231

Greatest Common Factor

We found the factors 145,5231 . The biggest common factor number is the GCF number.
So the greatest common factor 145,5231 is 1.

Lets's calculate LCM of 13,897

Lowest Common Multiple of 13,897 using Common Division

13	13, 897
	1, 69

∴ So the LCM of the given numbers is 13 x 1 x 69 = 897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/897

Therefore, the GCF of Fractions 145/13,5231/897 is 1/897

Least Common Multiple of 13,897 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 13,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,897) = 13

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

GCF(13,897) x common factors =13 x 1 = 13

LCM(13,897) = ( 13 × 897 ) / 13

LCM(13,897) = 11661 / 13

LCM(13,897) = 897

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FAQs on GCF of Fractions of 145/13, 5231/897

1. What is the HCF of 145,5231?

The HCF of 145,5231 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 145/13, 5231/897?

Answer: GCF of Numerators as per given numbers 145/13, 5231/897 is

GCF of Numerators i.e. for 145,5231 is 1

LCM of denominators i.e. for 13,897 is 897.

Thus, GCF of Fractions is 1/897.Finally, GCF of Fractions for 145/13, 5231/897 is 1/897.