How to Find GCF of 7867/242, 2988/2398?

GCF of 7867/242, 2988/2398

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 7867/242, 2988/2398 i.e 1/26378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7867/242, 2988/2398.

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 7867/242,2988/2398?

Given fractions are 7867/242,2988/2398

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 7867/242,2988/2398, numerators are 7867,2988

Denominators are 242,2398

The GCF of 7867,2988 is 1 .

LCM of 242,2398 is 26378.

The greatest common factor of 7867/242,2988/2398 = [GCF of 7867,2988]/[LCM of 242,2398]= 1/26378

Therefore, the GCF of 7867/242,2988/2398 is 1/26378.

Greatest Common Factor of 7867,2988

To find the highest common factor of 7867,2988, we have to find the factors of both numbers and list the highest common factor.

The factors of 7867 are 1, 7867

The factors of 2988 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988

The HCF of 7867,2988 is 1.

Lets's calculate GCF of 7867,2988

Greatest Common Factor (GCF) of 7867,2988 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7867,2988 By Matching Biggest Common Factor Method

Now, list down the factors of 7867

1,7867

Now, list down the factors of 2988

1,2,3,4,6,9,12,18,36,83,166,249,332,498,747,996,1494,2988

Greatest Common Factor

We found the factors 7867,2988 . The biggest common factor number is the GCF number.
So the greatest common factor 7867,2988 is 1.

Lets's calculate LCM of 242,2398

Lowest Common Multiple of 242,2398 using Common Division

2	242, 2398
11	121, 1199
	11, 109

∴ So the LCM of the given numbers is 2 x 11 x 11 x 109 = 26378

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26378

Therefore, the GCF of Fractions 7867/242,2988/2398 is 1/26378

Least Common Multiple of 242,2398 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 242,2398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,2398) = 22

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

GCF(242,2398) x common factors =22 x 1 = 22

LCM(242,2398) = ( 242 × 2398 ) / 22

LCM(242,2398) = 580316 / 22

LCM(242,2398) = 26378

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FAQs on GCF of Fractions of 7867/242, 2988/2398

1. What is the HCF of 7867,2988?

The HCF of 7867,2988 is 1

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 7867/242, 2988/2398?

Answer: GCF of Numerators as per given numbers 7867/242, 2988/2398 is

GCF of Numerators i.e. for 7867,2988 is 1

LCM of denominators i.e. for 242,2398 is 26378.

Thus, GCF of Fractions is 1/26378.Finally, GCF of Fractions for 7867/242, 2988/2398 is 1/26378.