How to Find GCF of 9898/376, 4832/598?

GCF of 9898/376, 4832/598

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 9898/376, 4832/598 i.e 2/112424 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9898/376, 4832/598.

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 9898/376,4832/598?

Given fractions are 9898/376,4832/598

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 9898/376,4832/598, numerators are 9898,4832

Denominators are 376,598

The GCF of 9898,4832 is 2 .

LCM of 376,598 is 112424.

The greatest common factor of 9898/376,4832/598 = [GCF of 9898,4832]/[LCM of 376,598]= 2/112424

Therefore, the GCF of 9898/376,4832/598 is 2/112424.

Greatest Common Factor of 9898,4832

To find the highest common factor of 9898,4832, we have to find the factors of both numbers and list the highest common factor.

The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

The factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

The HCF of 9898,4832 is 2.

Lets's calculate GCF of 9898,4832

Greatest Common Factor (GCF) of 9898,4832 By Common Division

2	9898, 4832
	4949, 2416

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

Greatest Common Factor of 9898,4832 By Matching Biggest Common Factor Method

Now, list down the factors of 9898

1,2,7,14,49,98,101,202,707,1414,4949,9898

Now, list down the factors of 4832

1,2,4,8,16,32,151,302,604,1208,2416,4832

Greatest Common Factor

We found the factors 9898,4832 . The biggest common factor number is the GCF number.
So the greatest common factor 9898,4832 is 2.

Lets's calculate LCM of 376,598

Lowest Common Multiple of 376,598 using Common Division

2	376, 598
	188, 299

∴ So the LCM of the given numbers is 2 x 188 x 299 = 112424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/112424

Therefore, the GCF of Fractions 9898/376,4832/598 is 2/112424

Least Common Multiple of 376,598 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 376,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(376,598) = 2

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

GCF(376,598) x common factors =2 x 1 = 2

LCM(376,598) = ( 376 × 598 ) / 2

LCM(376,598) = 224848 / 2

LCM(376,598) = 112424

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FAQs on GCF of Fractions of 9898/376, 4832/598

1. What is the HCF of 9898,4832?

The HCF of 9898,4832 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 9898/376, 4832/598?

Answer: GCF of Numerators as per given numbers 9898/376, 4832/598 is

GCF of Numerators i.e. for 9898,4832 is 2

LCM of denominators i.e. for 376,598 is 112424.

Thus, GCF of Fractions is 2/112424.Finally, GCF of Fractions for 9898/376, 4832/598 is 2/112424.