How to Find GCF of 298/950, 5868/2598?

GCF of 298/950, 5868/2598

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 298/950, 5868/2598 i.e 2/1234050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/950, 5868/2598.

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 298/950,5868/2598?

Given fractions are 298/950,5868/2598

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 298/950,5868/2598, numerators are 298,5868

Denominators are 950,2598

The GCF of 298,5868 is 2 .

LCM of 950,2598 is 1234050.

The greatest common factor of 298/950,5868/2598 = [GCF of 298,5868]/[LCM of 950,2598]= 2/1234050

Therefore, the GCF of 298/950,5868/2598 is 2/1234050.

Greatest Common Factor of 298,5868

To find the highest common factor of 298,5868, we have to find the factors of both numbers and list the highest common factor.

The factors of 298 are 1, 2, 149, 298

The factors of 5868 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 163, 326, 489, 652, 978, 1467, 1956, 2934, 5868

The HCF of 298,5868 is 2.

Lets's calculate GCF of 298,5868

Greatest Common Factor (GCF) of 298,5868 By Common Division

2	298, 5868
	149, 2934

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

Greatest Common Factor of 298,5868 By Matching Biggest Common Factor Method

Now, list down the factors of 298

1,2,149,298

Now, list down the factors of 5868

1,2,3,4,6,9,12,18,36,163,326,489,652,978,1467,1956,2934,5868

Greatest Common Factor

We found the factors 298,5868 . The biggest common factor number is the GCF number.
So the greatest common factor 298,5868 is 2.

Lets's calculate LCM of 950,2598

Lowest Common Multiple of 950,2598 using Common Division

2	950, 2598
	475, 1299

∴ So the LCM of the given numbers is 2 x 475 x 1299 = 1234050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1234050

Therefore, the GCF of Fractions 298/950,5868/2598 is 2/1234050

Least Common Multiple of 950,2598 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 950,2598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(950,2598) = 2

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

GCF(950,2598) x common factors =2 x 1 = 2

LCM(950,2598) = ( 950 × 2598 ) / 2

LCM(950,2598) = 2468100 / 2

LCM(950,2598) = 1234050

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FAQs on GCF of Fractions of 298/950, 5868/2598

1. What is the HCF of 298,5868?

The HCF of 298,5868 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 298/950, 5868/2598?

Answer: GCF of Numerators as per given numbers 298/950, 5868/2598 is

GCF of Numerators i.e. for 298,5868 is 2

LCM of denominators i.e. for 950,2598 is 1234050.

Thus, GCF of Fractions is 2/1234050.Finally, GCF of Fractions for 298/950, 5868/2598 is 2/1234050.