How to Find GCF of 8323/360, 1527/6444?

GCF of 8323/360, 1527/6444

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 8323/360, 1527/6444 i.e 1/64440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8323/360, 1527/6444.

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 8323/360,1527/6444?

Given fractions are 8323/360,1527/6444

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 8323/360,1527/6444, numerators are 8323,1527

Denominators are 360,6444

The GCF of 8323,1527 is 1 .

LCM of 360,6444 is 64440.

The greatest common factor of 8323/360,1527/6444 = [GCF of 8323,1527]/[LCM of 360,6444]= 1/64440

Therefore, the GCF of 8323/360,1527/6444 is 1/64440.

Greatest Common Factor of 8323,1527

To find the highest common factor of 8323,1527, we have to find the factors of both numbers and list the highest common factor.

The factors of 8323 are 1, 7, 29, 41, 203, 287, 1189, 8323

The factors of 1527 are 1, 3, 509, 1527

The HCF of 8323,1527 is 1.

Lets's calculate GCF of 8323,1527

Greatest Common Factor (GCF) of 8323,1527 By Common Division

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

Greatest Common Factor of 8323,1527 By Matching Biggest Common Factor Method

Now, list down the factors of 8323

1,7,29,41,203,287,1189,8323

Now, list down the factors of 1527

1,3,509,1527

Greatest Common Factor

We found the factors 8323,1527 . The biggest common factor number is the GCF number.
So the greatest common factor 8323,1527 is 1.

Lets's calculate LCM of 360,6444

Lowest Common Multiple of 360,6444 using Common Division

2	360, 6444
2	180, 3222
3	90, 1611
3	30, 537
	10, 179

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 10 x 179 = 64440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64440

Therefore, the GCF of Fractions 8323/360,1527/6444 is 1/64440

Least Common Multiple of 360,6444 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 360,6444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(360,6444) = 36

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

GCF(360,6444) x common factors =36 x 1 = 36

LCM(360,6444) = ( 360 × 6444 ) / 36

LCM(360,6444) = 2319840 / 36

LCM(360,6444) = 64440

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FAQs on GCF of Fractions of 8323/360, 1527/6444

1. What is the HCF of 8323,1527?

The HCF of 8323,1527 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 8323/360, 1527/6444?

Answer: GCF of Numerators as per given numbers 8323/360, 1527/6444 is

GCF of Numerators i.e. for 8323,1527 is 1

LCM of denominators i.e. for 360,6444 is 64440.

Thus, GCF of Fractions is 1/64440.Finally, GCF of Fractions for 8323/360, 1527/6444 is 1/64440.