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GCF of 882/799, 480/658

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 882/799, 480/658 i.e 6/11186 easily. The following is the detailed procedure to determine the greatest common factor of fractions 882/799, 480/658.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 882/799,480/658?

Given fractions are 882/799,480/658

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 882/799,480/658, numerators are 882,480

Denominators are 799,658

The GCF of 882,480 is 6 .

LCM of 799,658 is 11186.

The greatest common factor of 882/799,480/658 = [GCF of 882,480]/[LCM of 799,658]= 6/11186

Therefore, the GCF of 882/799,480/658 is 6/11186.

Greatest Common Factor of 882,480

To find the highest common factor of 882,480, we have to find the factors of both numbers and list the highest common factor.

The factors of 882 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

The factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

The HCF of 882,480 is 6.

Lets's calculate GCF of 882,480

Greatest Common Factor (GCF) of 882,480 By Common Division

2 882, 480
3 441, 240
147, 80

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

Greatest Common Factor of 882,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 882,480 By Matching Biggest Common Factor Method

Now, list down the factors of 882

:

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Now, list down the factors of 480

:

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 882,480 . The biggest common factor number is the GCF number.
So the greatest common factor 882,480 is 6.


Lets's calculate LCM of 799,658

Lowest Common Multiple of 799,658 using Common Division

47 799, 658
17, 14

∴ So the LCM of the given numbers is 47 x 17 x 14 = 11186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/11186

Therefore, the GCF of Fractions 882/799,480/658 is 6/11186

Least Common Multiple of 799,658 with GCF Formula

Least Common Multiple of 799,658 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 799,658 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,658) = 47

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

GCF(799,658) x common factors =47 x 1 = 47

LCM(799,658) = ( 799 × 658 ) / 47

LCM(799,658) = 525742 / 47

LCM(799,658) = 11186


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 882/799, 480/658

1. What is the HCF of 882,480?

The HCF of 882,480 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 882/799, 480/658?

Answer: GCF of Numerators as per given numbers 882/799, 480/658 is

GCF of Numerators i.e. for 882,480 is 6

LCM of denominators i.e. for 799,658 is 11186.

Thus, GCF of Fractions is 6/11186.Finally, GCF of Fractions for 882/799, 480/658 is 6/11186.