How to Find GCF of 6885/932, 6214/5652?

GCF of 6885/932, 6214/5652

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 6885/932, 6214/5652 i.e 1/1316916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6885/932, 6214/5652.

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 6885/932,6214/5652?

Given fractions are 6885/932,6214/5652

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 6885/932,6214/5652, numerators are 6885,6214

Denominators are 932,5652

The GCF of 6885,6214 is 1 .

LCM of 932,5652 is 1316916.

The greatest common factor of 6885/932,6214/5652 = [GCF of 6885,6214]/[LCM of 932,5652]= 1/1316916

Therefore, the GCF of 6885/932,6214/5652 is 1/1316916.

Greatest Common Factor of 6885,6214

To find the highest common factor of 6885,6214, we have to find the factors of both numbers and list the highest common factor.

The factors of 6885 are 1, 3, 5, 9, 15, 17, 27, 45, 51, 81, 85, 135, 153, 255, 405, 459, 765, 1377, 2295, 6885

The factors of 6214 are 1, 2, 13, 26, 239, 478, 3107, 6214

The HCF of 6885,6214 is 1.

Lets's calculate GCF of 6885,6214

Greatest Common Factor (GCF) of 6885,6214 By Common Division

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

Greatest Common Factor of 6885,6214 By Matching Biggest Common Factor Method

Now, list down the factors of 6885

1,3,5,9,15,17,27,45,51,81,85,135,153,255,405,459,765,1377,2295,6885

Now, list down the factors of 6214

1,2,13,26,239,478,3107,6214

Greatest Common Factor

We found the factors 6885,6214 . The biggest common factor number is the GCF number.
So the greatest common factor 6885,6214 is 1.

Lets's calculate LCM of 932,5652

Lowest Common Multiple of 932,5652 using Common Division

2	932, 5652
2	466, 2826
	233, 1413

∴ So the LCM of the given numbers is 2 x 2 x 233 x 1413 = 1316916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316916

Therefore, the GCF of Fractions 6885/932,6214/5652 is 1/1316916

Least Common Multiple of 932,5652 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 932,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,5652) = 4

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

GCF(932,5652) x common factors =4 x 1 = 4

LCM(932,5652) = ( 932 × 5652 ) / 4

LCM(932,5652) = 5267664 / 4

LCM(932,5652) = 1316916

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6885/932, 6214/5652

1. What is the HCF of 6885,6214?

The HCF of 6885,6214 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 6885/932, 6214/5652?

Answer: GCF of Numerators as per given numbers 6885/932, 6214/5652 is

GCF of Numerators i.e. for 6885,6214 is 1

LCM of denominators i.e. for 932,5652 is 1316916.

Thus, GCF of Fractions is 1/1316916.Finally, GCF of Fractions for 6885/932, 6214/5652 is 1/1316916.