How to Find GCF of 9795/272, 1498/2344?

GCF of 9795/272, 1498/2344

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 9795/272, 1498/2344 i.e 1/79696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9795/272, 1498/2344.

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 9795/272,1498/2344?

Given fractions are 9795/272,1498/2344

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 9795/272,1498/2344, numerators are 9795,1498

Denominators are 272,2344

The GCF of 9795,1498 is 1 .

LCM of 272,2344 is 79696.

The greatest common factor of 9795/272,1498/2344 = [GCF of 9795,1498]/[LCM of 272,2344]= 1/79696

Therefore, the GCF of 9795/272,1498/2344 is 1/79696.

Greatest Common Factor of 9795,1498

To find the highest common factor of 9795,1498, we have to find the factors of both numbers and list the highest common factor.

The factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795

The factors of 1498 are 1, 2, 7, 14, 107, 214, 749, 1498

The HCF of 9795,1498 is 1.

Lets's calculate GCF of 9795,1498

Greatest Common Factor (GCF) of 9795,1498 By Common Division

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

Greatest Common Factor of 9795,1498 By Matching Biggest Common Factor Method

Now, list down the factors of 9795

1,3,5,15,653,1959,3265,9795

Now, list down the factors of 1498

1,2,7,14,107,214,749,1498

Greatest Common Factor

We found the factors 9795,1498 . The biggest common factor number is the GCF number.
So the greatest common factor 9795,1498 is 1.

Lets's calculate LCM of 272,2344

Lowest Common Multiple of 272,2344 using Common Division

2	272, 2344
2	136, 1172
2	68, 586
	34, 293

∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 293 = 79696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79696

Therefore, the GCF of Fractions 9795/272,1498/2344 is 1/79696

Least Common Multiple of 272,2344 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 272,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,2344) = 8

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

GCF(272,2344) x common factors =8 x 1 = 8

LCM(272,2344) = ( 272 × 2344 ) / 8

LCM(272,2344) = 637568 / 8

LCM(272,2344) = 79696

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9795/272, 1498/2344

1. What is the HCF of 9795,1498?

The HCF of 9795,1498 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 9795/272, 1498/2344?

Answer: GCF of Numerators as per given numbers 9795/272, 1498/2344 is

GCF of Numerators i.e. for 9795,1498 is 1

LCM of denominators i.e. for 272,2344 is 79696.

Thus, GCF of Fractions is 1/79696.Finally, GCF of Fractions for 9795/272, 1498/2344 is 1/79696.