How to Find GCF of 5170/388, 2746/7669?

GCF of 5170/388, 2746/7669

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 5170/388, 2746/7669 i.e 2/2975572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5170/388, 2746/7669.

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 5170/388,2746/7669?

Given fractions are 5170/388,2746/7669

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 5170/388,2746/7669, numerators are 5170,2746

Denominators are 388,7669

The GCF of 5170,2746 is 2 .

LCM of 388,7669 is 2975572.

The greatest common factor of 5170/388,2746/7669 = [GCF of 5170,2746]/[LCM of 388,7669]= 2/2975572

Therefore, the GCF of 5170/388,2746/7669 is 2/2975572.

Greatest Common Factor of 5170,2746

To find the highest common factor of 5170,2746, we have to find the factors of both numbers and list the highest common factor.

The factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170

The factors of 2746 are 1, 2, 1373, 2746

The HCF of 5170,2746 is 2.

Lets's calculate GCF of 5170,2746

Greatest Common Factor (GCF) of 5170,2746 By Common Division

2	5170, 2746
	2585, 1373

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

Greatest Common Factor of 5170,2746 By Matching Biggest Common Factor Method

Now, list down the factors of 5170

1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170

Now, list down the factors of 2746

1,2,1373,2746

Greatest Common Factor

We found the factors 5170,2746 . The biggest common factor number is the GCF number.
So the greatest common factor 5170,2746 is 2.

Lets's calculate LCM of 388,7669

Lowest Common Multiple of 388,7669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2975572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2975572

Therefore, the GCF of Fractions 5170/388,2746/7669 is 2/2975572

Least Common Multiple of 388,7669 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 388,7669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,7669) = 1

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

GCF(388,7669) x common factors =1 x 1 = 1

LCM(388,7669) = ( 388 × 7669 ) / 1

LCM(388,7669) = 2975572 / 1

LCM(388,7669) = 2975572

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FAQs on GCF of Fractions of 5170/388, 2746/7669

1. What is the HCF of 5170,2746?

The HCF of 5170,2746 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 5170/388, 2746/7669?

Answer: GCF of Numerators as per given numbers 5170/388, 2746/7669 is

GCF of Numerators i.e. for 5170,2746 is 2

LCM of denominators i.e. for 388,7669 is 2975572.

Thus, GCF of Fractions is 2/2975572.Finally, GCF of Fractions for 5170/388, 2746/7669 is 2/2975572.