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GCF of 8980/886, 6696/6082

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 8980/886, 6696/6082 i.e 4/2694326 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8980/886, 6696/6082.

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 8980/886,6696/6082?

Given fractions are 8980/886,6696/6082

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 8980/886,6696/6082, numerators are 8980,6696

Denominators are 886,6082

The GCF of 8980,6696 is 4 .

LCM of 886,6082 is 2694326.

The greatest common factor of 8980/886,6696/6082 = [GCF of 8980,6696]/[LCM of 886,6082]= 4/2694326

Therefore, the GCF of 8980/886,6696/6082 is 4/2694326.

Greatest Common Factor of 8980,6696

To find the highest common factor of 8980,6696, we have to find the factors of both numbers and list the highest common factor.

The factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980

The factors of 6696 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 744, 837, 1116, 1674, 2232, 3348, 6696

The HCF of 8980,6696 is 4.

Lets's calculate GCF of 8980,6696

Greatest Common Factor (GCF) of 8980,6696 By Common Division

2 8980, 6696
2 4490, 3348
2245, 1674

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8980,6696 By Matching Biggest Common Factor Method

Greatest Common Factor of 8980,6696 By Matching Biggest Common Factor Method

Now, list down the factors of 8980

:

1,2,4,5,10,20,449,898,1796,2245,4490,8980

Now, list down the factors of 6696

:

1,2,3,4,6,8,9,12,18,24,27,31,36,54,62,72,93,108,124,186,216,248,279,372,558,744,837,1116,1674,2232,3348,6696

Greatest Common Factor

We found the factors 8980,6696 . The biggest common factor number is the GCF number.
So the greatest common factor 8980,6696 is 4.


Lets's calculate LCM of 886,6082

Lowest Common Multiple of 886,6082 using Common Division

2 886, 6082
443, 3041

∴ So the LCM of the given numbers is 2 x 443 x 3041 = 2694326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2694326

Therefore, the GCF of Fractions 8980/886,6696/6082 is 4/2694326

Least Common Multiple of 886,6082 with GCF Formula

Least Common Multiple of 886,6082 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 886,6082 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(886,6082) = 2

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

GCF(886,6082) x common factors =2 x 1 = 2

LCM(886,6082) = ( 886 × 6082 ) / 2

LCM(886,6082) = 5388652 / 2

LCM(886,6082) = 2694326


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 8980/886, 6696/6082

1. What is the HCF of 8980,6696?

The HCF of 8980,6696 is 4

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 8980/886, 6696/6082?

Answer: GCF of Numerators as per given numbers 8980/886, 6696/6082 is

GCF of Numerators i.e. for 8980,6696 is 4

LCM of denominators i.e. for 886,6082 is 2694326.

Thus, GCF of Fractions is 4/2694326.Finally, GCF of Fractions for 8980/886, 6696/6082 is 4/2694326.