How to Find GCF of 2995/328, 9994/1540?

GCF of 2995/328, 9994/1540

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 2995/328, 9994/1540 i.e 1/126280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2995/328, 9994/1540.

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 2995/328,9994/1540?

Given fractions are 2995/328,9994/1540

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 2995/328,9994/1540, numerators are 2995,9994

Denominators are 328,1540

The GCF of 2995,9994 is 1 .

LCM of 328,1540 is 126280.

The greatest common factor of 2995/328,9994/1540 = [GCF of 2995,9994]/[LCM of 328,1540]= 1/126280

Therefore, the GCF of 2995/328,9994/1540 is 1/126280.

Greatest Common Factor of 2995,9994

To find the highest common factor of 2995,9994, we have to find the factors of both numbers and list the highest common factor.

The factors of 2995 are 1, 5, 599, 2995

The factors of 9994 are 1, 2, 19, 38, 263, 526, 4997, 9994

The HCF of 2995,9994 is 1.

Lets's calculate GCF of 2995,9994

Greatest Common Factor (GCF) of 2995,9994 By Common Division

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

Greatest Common Factor of 2995,9994 By Matching Biggest Common Factor Method

Now, list down the factors of 2995

1,5,599,2995

Now, list down the factors of 9994

1,2,19,38,263,526,4997,9994

Greatest Common Factor

We found the factors 2995,9994 . The biggest common factor number is the GCF number.
So the greatest common factor 2995,9994 is 1.

Lets's calculate LCM of 328,1540

Lowest Common Multiple of 328,1540 using Common Division

2	328, 1540
2	164, 770
	82, 385

∴ So the LCM of the given numbers is 2 x 2 x 82 x 385 = 126280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126280

Therefore, the GCF of Fractions 2995/328,9994/1540 is 1/126280

Least Common Multiple of 328,1540 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 328,1540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,1540) = 4

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

GCF(328,1540) x common factors =4 x 1 = 4

LCM(328,1540) = ( 328 × 1540 ) / 4

LCM(328,1540) = 505120 / 4

LCM(328,1540) = 126280

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FAQs on GCF of Fractions of 2995/328, 9994/1540

1. What is the HCF of 2995,9994?

The HCF of 2995,9994 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 2995/328, 9994/1540?

Answer: GCF of Numerators as per given numbers 2995/328, 9994/1540 is

GCF of Numerators i.e. for 2995,9994 is 1

LCM of denominators i.e. for 328,1540 is 126280.

Thus, GCF of Fractions is 1/126280.Finally, GCF of Fractions for 2995/328, 9994/1540 is 1/126280.