How to Find GCF of 6886/950, 1518/9991?

GCF of 6886/950, 1518/9991

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 6886/950, 1518/9991 i.e 22/9491450 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6886/950, 1518/9991.

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 6886/950,1518/9991?

Given fractions are 6886/950,1518/9991

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 6886/950,1518/9991, numerators are 6886,1518

Denominators are 950,9991

The GCF of 6886,1518 is 22 .

LCM of 950,9991 is 9491450.

The greatest common factor of 6886/950,1518/9991 = [GCF of 6886,1518]/[LCM of 950,9991]= 22/9491450

Therefore, the GCF of 6886/950,1518/9991 is 22/9491450.

Greatest Common Factor of 6886,1518

To find the highest common factor of 6886,1518, we have to find the factors of both numbers and list the highest common factor.

The factors of 6886 are 1, 2, 11, 22, 313, 626, 3443, 6886

The factors of 1518 are 1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759, 1518

The HCF of 6886,1518 is 22.

Lets's calculate GCF of 6886,1518

Greatest Common Factor (GCF) of 6886,1518 By Common Division

2	6886, 1518
11	3443, 759
	313, 69

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 6886,1518 By Matching Biggest Common Factor Method

Now, list down the factors of 6886

1,2,11,22,313,626,3443,6886

Now, list down the factors of 1518

1,2,3,6,11,22,23,33,46,66,69,138,253,506,759,1518

Greatest Common Factor

We found the factors 6886,1518 . The biggest common factor number is the GCF number.
So the greatest common factor 6886,1518 is 22.

Lets's calculate LCM of 950,9991

Lowest Common Multiple of 950,9991 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9491450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/9491450

Therefore, the GCF of Fractions 6886/950,1518/9991 is 22/9491450

Least Common Multiple of 950,9991 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 950,9991 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,9991) = 1

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

GCF(950,9991) x common factors =1 x 1 = 1

LCM(950,9991) = ( 950 × 9991 ) / 1

LCM(950,9991) = 9491450 / 1

LCM(950,9991) = 9491450

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6886/950, 1518/9991

1. What is the HCF of 6886,1518?

The HCF of 6886,1518 is 22

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 6886/950, 1518/9991?

Answer: GCF of Numerators as per given numbers 6886/950, 1518/9991 is

GCF of Numerators i.e. for 6886,1518 is 22

LCM of denominators i.e. for 950,9991 is 9491450.

Thus, GCF of Fractions is 22/9491450.Finally, GCF of Fractions for 6886/950, 1518/9991 is 22/9491450.