How to Find GCF of 6786/517, 3716/5633?

GCF of 6786/517, 3716/5633

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 6786/517, 3716/5633 i.e 2/2912261 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6786/517, 3716/5633.

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 6786/517,3716/5633?

Given fractions are 6786/517,3716/5633

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 6786/517,3716/5633, numerators are 6786,3716

Denominators are 517,5633

The GCF of 6786,3716 is 2 .

LCM of 517,5633 is 2912261.

The greatest common factor of 6786/517,3716/5633 = [GCF of 6786,3716]/[LCM of 517,5633]= 2/2912261

Therefore, the GCF of 6786/517,3716/5633 is 2/2912261.

Greatest Common Factor of 6786,3716

To find the highest common factor of 6786,3716, we have to find the factors of both numbers and list the highest common factor.

The factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786

The factors of 3716 are 1, 2, 4, 929, 1858, 3716

The HCF of 6786,3716 is 2.

Lets's calculate GCF of 6786,3716

Greatest Common Factor (GCF) of 6786,3716 By Common Division

2	6786, 3716
	3393, 1858

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

Greatest Common Factor of 6786,3716 By Matching Biggest Common Factor Method

Now, list down the factors of 6786

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Now, list down the factors of 3716

1,2,4,929,1858,3716

Greatest Common Factor

We found the factors 6786,3716 . The biggest common factor number is the GCF number.
So the greatest common factor 6786,3716 is 2.

Lets's calculate LCM of 517,5633

Lowest Common Multiple of 517,5633 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2912261

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2912261

Therefore, the GCF of Fractions 6786/517,3716/5633 is 2/2912261

Least Common Multiple of 517,5633 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 517,5633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(517,5633) = 1

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

GCF(517,5633) x common factors =1 x 1 = 1

LCM(517,5633) = ( 517 × 5633 ) / 1

LCM(517,5633) = 2912261 / 1

LCM(517,5633) = 2912261

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6786/517, 3716/5633

1. What is the HCF of 6786,3716?

The HCF of 6786,3716 is 2

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 6786/517, 3716/5633?

Answer: GCF of Numerators as per given numbers 6786/517, 3716/5633 is

GCF of Numerators i.e. for 6786,3716 is 2

LCM of denominators i.e. for 517,5633 is 2912261.

Thus, GCF of Fractions is 2/2912261.Finally, GCF of Fractions for 6786/517, 3716/5633 is 2/2912261.