How to Find GCF of 4980/373, 2498/1138?

GCF of 4980/373, 2498/1138

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 4980/373, 2498/1138 i.e 2/424474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4980/373, 2498/1138.

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 4980/373,2498/1138?

Given fractions are 4980/373,2498/1138

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 4980/373,2498/1138, numerators are 4980,2498

Denominators are 373,1138

The GCF of 4980,2498 is 2 .

LCM of 373,1138 is 424474.

The greatest common factor of 4980/373,2498/1138 = [GCF of 4980,2498]/[LCM of 373,1138]= 2/424474

Therefore, the GCF of 4980/373,2498/1138 is 2/424474.

Greatest Common Factor of 4980,2498

To find the highest common factor of 4980,2498, we have to find the factors of both numbers and list the highest common factor.

The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980

The factors of 2498 are 1, 2, 1249, 2498

The HCF of 4980,2498 is 2.

Lets's calculate GCF of 4980,2498

Greatest Common Factor (GCF) of 4980,2498 By Common Division

2	4980, 2498
	2490, 1249

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

Greatest Common Factor of 4980,2498 By Matching Biggest Common Factor Method

Now, list down the factors of 4980

1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980

Now, list down the factors of 2498

1,2,1249,2498

Greatest Common Factor

We found the factors 4980,2498 . The biggest common factor number is the GCF number.
So the greatest common factor 4980,2498 is 2.

Lets's calculate LCM of 373,1138

Lowest Common Multiple of 373,1138 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 424474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/424474

Therefore, the GCF of Fractions 4980/373,2498/1138 is 2/424474

Least Common Multiple of 373,1138 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 373,1138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,1138) = 1

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

GCF(373,1138) x common factors =1 x 1 = 1

LCM(373,1138) = ( 373 × 1138 ) / 1

LCM(373,1138) = 424474 / 1

LCM(373,1138) = 424474

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FAQs on GCF of Fractions of 4980/373, 2498/1138

1. What is the HCF of 4980,2498?

The HCF of 4980,2498 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 4980/373, 2498/1138?

Answer: GCF of Numerators as per given numbers 4980/373, 2498/1138 is

GCF of Numerators i.e. for 4980,2498 is 2

LCM of denominators i.e. for 373,1138 is 424474.

Thus, GCF of Fractions is 2/424474.Finally, GCF of Fractions for 4980/373, 2498/1138 is 2/424474.