How to Find GCF of 269/967, 3193/3716?

GCF of 269/967, 3193/3716

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 269/967, 3193/3716 i.e 1/3593372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/967, 3193/3716.

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 269/967,3193/3716?

Given fractions are 269/967,3193/3716

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 269/967,3193/3716, numerators are 269,3193

Denominators are 967,3716

The GCF of 269,3193 is 1 .

LCM of 967,3716 is 3593372.

The greatest common factor of 269/967,3193/3716 = [GCF of 269,3193]/[LCM of 967,3716]= 1/3593372

Therefore, the GCF of 269/967,3193/3716 is 1/3593372.

Greatest Common Factor of 269,3193

To find the highest common factor of 269,3193, 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 3193 are 1, 31, 103, 3193

The HCF of 269,3193 is 1.

Lets's calculate GCF of 269,3193

Greatest Common Factor (GCF) of 269,3193 By Common Division

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

Greatest Common Factor of 269,3193 By Matching Biggest Common Factor Method

Now, list down the factors of 269

1,269

Now, list down the factors of 3193

1,31,103,3193

Greatest Common Factor

We found the factors 269,3193 . The biggest common factor number is the GCF number.
So the greatest common factor 269,3193 is 1.

Lets's calculate LCM of 967,3716

Lowest Common Multiple of 967,3716 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3593372

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3593372

Therefore, the GCF of Fractions 269/967,3193/3716 is 1/3593372

Least Common Multiple of 967,3716 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 967,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(967,3716) = 1

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

GCF(967,3716) x common factors =1 x 1 = 1

LCM(967,3716) = ( 967 × 3716 ) / 1

LCM(967,3716) = 3593372 / 1

LCM(967,3716) = 3593372

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FAQs on GCF of Fractions of 269/967, 3193/3716

1. What is the HCF of 269,3193?

The HCF of 269,3193 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 269/967, 3193/3716?

Answer: GCF of Numerators as per given numbers 269/967, 3193/3716 is

GCF of Numerators i.e. for 269,3193 is 1

LCM of denominators i.e. for 967,3716 is 3593372.

Thus, GCF of Fractions is 1/3593372.Finally, GCF of Fractions for 269/967, 3193/3716 is 1/3593372.