How to Find GCF of 3098/553, 2668/1818?

GCF of 3098/553, 2668/1818

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 3098/553, 2668/1818 i.e 2/1005354 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3098/553, 2668/1818.

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 3098/553,2668/1818?

Given fractions are 3098/553,2668/1818

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 3098/553,2668/1818, numerators are 3098,2668

Denominators are 553,1818

The GCF of 3098,2668 is 2 .

LCM of 553,1818 is 1005354.

The greatest common factor of 3098/553,2668/1818 = [GCF of 3098,2668]/[LCM of 553,1818]= 2/1005354

Therefore, the GCF of 3098/553,2668/1818 is 2/1005354.

Greatest Common Factor of 3098,2668

To find the highest common factor of 3098,2668, we have to find the factors of both numbers and list the highest common factor.

The factors of 3098 are 1, 2, 1549, 3098

The factors of 2668 are 1, 2, 4, 23, 29, 46, 58, 92, 116, 667, 1334, 2668

The HCF of 3098,2668 is 2.

Lets's calculate GCF of 3098,2668

Greatest Common Factor (GCF) of 3098,2668 By Common Division

2	3098, 2668
	1549, 1334

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

Greatest Common Factor of 3098,2668 By Matching Biggest Common Factor Method

Now, list down the factors of 3098

1,2,1549,3098

Now, list down the factors of 2668

1,2,4,23,29,46,58,92,116,667,1334,2668

Greatest Common Factor

We found the factors 3098,2668 . The biggest common factor number is the GCF number.
So the greatest common factor 3098,2668 is 2.

Lets's calculate LCM of 553,1818

Lowest Common Multiple of 553,1818 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1005354

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1005354

Therefore, the GCF of Fractions 3098/553,2668/1818 is 2/1005354

Least Common Multiple of 553,1818 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 553,1818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,1818) = 1

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

GCF(553,1818) x common factors =1 x 1 = 1

LCM(553,1818) = ( 553 × 1818 ) / 1

LCM(553,1818) = 1005354 / 1

LCM(553,1818) = 1005354

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3098/553, 2668/1818

1. What is the HCF of 3098,2668?

The HCF of 3098,2668 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 3098/553, 2668/1818?

Answer: GCF of Numerators as per given numbers 3098/553, 2668/1818 is

GCF of Numerators i.e. for 3098,2668 is 2

LCM of denominators i.e. for 553,1818 is 1005354.

Thus, GCF of Fractions is 2/1005354.Finally, GCF of Fractions for 3098/553, 2668/1818 is 2/1005354.