How to Find GCF of 1069/325, 5731/3172?

GCF of 1069/325, 5731/3172

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 1069/325, 5731/3172 i.e 1/79300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1069/325, 5731/3172.

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 1069/325,5731/3172?

Given fractions are 1069/325,5731/3172

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 1069/325,5731/3172, numerators are 1069,5731

Denominators are 325,3172

The GCF of 1069,5731 is 1 .

LCM of 325,3172 is 79300.

The greatest common factor of 1069/325,5731/3172 = [GCF of 1069,5731]/[LCM of 325,3172]= 1/79300

Therefore, the GCF of 1069/325,5731/3172 is 1/79300.

Greatest Common Factor of 1069,5731

To find the highest common factor of 1069,5731, we have to find the factors of both numbers and list the highest common factor.

The factors of 1069 are 1, 1069

The factors of 5731 are 1, 11, 521, 5731

The HCF of 1069,5731 is 1.

Lets's calculate GCF of 1069,5731

Greatest Common Factor (GCF) of 1069,5731 By Common Division

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

Greatest Common Factor of 1069,5731 By Matching Biggest Common Factor Method

Now, list down the factors of 1069

1,1069

Now, list down the factors of 5731

1,11,521,5731

Greatest Common Factor

We found the factors 1069,5731 . The biggest common factor number is the GCF number.
So the greatest common factor 1069,5731 is 1.

Lets's calculate LCM of 325,3172

Lowest Common Multiple of 325,3172 using Common Division

13	325, 3172
	25, 244

∴ So the LCM of the given numbers is 13 x 25 x 244 = 79300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79300

Therefore, the GCF of Fractions 1069/325,5731/3172 is 1/79300

Least Common Multiple of 325,3172 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 325,3172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,3172) = 13

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

GCF(325,3172) x common factors =13 x 1 = 13

LCM(325,3172) = ( 325 × 3172 ) / 13

LCM(325,3172) = 1030900 / 13

LCM(325,3172) = 79300

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FAQs on GCF of Fractions of 1069/325, 5731/3172

1. What is the HCF of 1069,5731?

The HCF of 1069,5731 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 1069/325, 5731/3172?

Answer: GCF of Numerators as per given numbers 1069/325, 5731/3172 is

GCF of Numerators i.e. for 1069,5731 is 1

LCM of denominators i.e. for 325,3172 is 79300.

Thus, GCF of Fractions is 1/79300.Finally, GCF of Fractions for 1069/325, 5731/3172 is 1/79300.