How to Find GCF of 8814/275, 6792/512?

GCF of 8814/275, 6792/512

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 8814/275, 6792/512 i.e 6/140800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8814/275, 6792/512.

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 8814/275,6792/512?

Given fractions are 8814/275,6792/512

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 8814/275,6792/512, numerators are 8814,6792

Denominators are 275,512

The GCF of 8814,6792 is 6 .

LCM of 275,512 is 140800.

The greatest common factor of 8814/275,6792/512 = [GCF of 8814,6792]/[LCM of 275,512]= 6/140800

Therefore, the GCF of 8814/275,6792/512 is 6/140800.

Greatest Common Factor of 8814,6792

To find the highest common factor of 8814,6792, we have to find the factors of both numbers and list the highest common factor.

The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814

The factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792

The HCF of 8814,6792 is 6.

Lets's calculate GCF of 8814,6792

Greatest Common Factor (GCF) of 8814,6792 By Common Division

2	8814, 6792
3	4407, 3396
	1469, 1132

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 8814,6792 By Matching Biggest Common Factor Method

Now, list down the factors of 8814

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Now, list down the factors of 6792

1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792

Greatest Common Factor

We found the factors 8814,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 8814,6792 is 6.

Lets's calculate LCM of 275,512

Lowest Common Multiple of 275,512 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 140800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/140800

Therefore, the GCF of Fractions 8814/275,6792/512 is 6/140800

Least Common Multiple of 275,512 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 275,512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,512) = 1

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

GCF(275,512) x common factors =1 x 1 = 1

LCM(275,512) = ( 275 × 512 ) / 1

LCM(275,512) = 140800 / 1

LCM(275,512) = 140800

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FAQs on GCF of Fractions of 8814/275, 6792/512

1. What is the HCF of 8814,6792?

The HCF of 8814,6792 is 6

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 8814/275, 6792/512?

Answer: GCF of Numerators as per given numbers 8814/275, 6792/512 is

GCF of Numerators i.e. for 8814,6792 is 6

LCM of denominators i.e. for 275,512 is 140800.

Thus, GCF of Fractions is 6/140800.Finally, GCF of Fractions for 8814/275, 6792/512 is 6/140800.