LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 269/174, 245/274

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 269/174, 245/274 i.e 1/23838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/174, 245/274.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 269/174,245/274?

Given fractions are 269/174,245/274

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 269/174,245/274, numerators are 269,245

Denominators are 174,274

The GCF of 269,245 is 1 .

LCM of 174,274 is 23838.

The greatest common factor of 269/174,245/274 = [GCF of 269,245]/[LCM of 174,274]= 1/23838

Therefore, the GCF of 269/174,245/274 is 1/23838.

Greatest Common Factor of 269,245

To find the highest common factor of 269,245, we have to find the factors of both numbers and list the highest common factor.

The factors of 269 are 1, 269

The factors of 245 are 1, 5, 7, 35, 49, 245

The HCF of 269,245 is 1.

Lets's calculate GCF of 269,245

Greatest Common Factor (GCF) of 269,245 By Common Division

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

Greatest Common Factor of 269,245 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,245 By Matching Biggest Common Factor Method

Now, list down the factors of 269

:

1,269

Now, list down the factors of 245

:

1,5,7,35,49,245

Greatest Common Factor

We found the factors 269,245 . The biggest common factor number is the GCF number.
So the greatest common factor 269,245 is 1.

Lets's calculate LCM of 174,274

Lowest Common Multiple of 174,274 using Common Division

2 174, 274
87, 137

∴ So the LCM of the given numbers is 2 x 87 x 137 = 23838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23838

Therefore, the GCF of Fractions 269/174,245/274 is 1/23838

Least Common Multiple of 174,274 with GCF Formula

Least Common Multiple of 174,274 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 174,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,274) = 2

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

GCF(174,274) x common factors =2 x 1 = 2

LCM(174,274) = ( 174 × 274 ) / 2

LCM(174,274) = 47676 / 2

LCM(174,274) = 23838


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 269/174, 245/274

1. What is the HCF of 269,245?

The HCF of 269,245 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 269/174, 245/274?

Answer: GCF of Numerators as per given numbers 269/174, 245/274 is

GCF of Numerators i.e. for 269,245 is 1

LCM of denominators i.e. for 174,274 is 23838.

Thus, GCF of Fractions is 1/23838.Finally, GCF of Fractions for 269/174, 245/274 is 1/23838.