How to Find GCF of 269/397, 3178/5639?

GCF of 269/397, 3178/5639

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 269/397, 3178/5639 i.e 1/2238683 easily. The following is the detailed procedure to determine the greatest common factor of fractions 269/397, 3178/5639.

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 269/397,3178/5639?

Given fractions are 269/397,3178/5639

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 269/397,3178/5639, numerators are 269,3178

Denominators are 397,5639

The GCF of 269,3178 is 1 .

LCM of 397,5639 is 2238683.

The greatest common factor of 269/397,3178/5639 = [GCF of 269,3178]/[LCM of 397,5639]= 1/2238683

Therefore, the GCF of 269/397,3178/5639 is 1/2238683.

Greatest Common Factor of 269,3178

To find the highest common factor of 269,3178, 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 3178 are 1, 2, 7, 14, 227, 454, 1589, 3178

The HCF of 269,3178 is 1.

Lets's calculate GCF of 269,3178

Greatest Common Factor (GCF) of 269,3178 By Common Division

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

Greatest Common Factor of 269,3178 By Matching Biggest Common Factor Method

Now, list down the factors of 269

1,269

Now, list down the factors of 3178

1,2,7,14,227,454,1589,3178

Greatest Common Factor

We found the factors 269,3178 . The biggest common factor number is the GCF number.
So the greatest common factor 269,3178 is 1.

Lets's calculate LCM of 397,5639

Lowest Common Multiple of 397,5639 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2238683

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2238683

Therefore, the GCF of Fractions 269/397,3178/5639 is 1/2238683

Least Common Multiple of 397,5639 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 397,5639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(397,5639) = 1

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

GCF(397,5639) x common factors =1 x 1 = 1

LCM(397,5639) = ( 397 × 5639 ) / 1

LCM(397,5639) = 2238683 / 1

LCM(397,5639) = 2238683

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FAQs on GCF of Fractions of 269/397, 3178/5639

1. What is the HCF of 269,3178?

The HCF of 269,3178 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 269/397, 3178/5639?

Answer: GCF of Numerators as per given numbers 269/397, 3178/5639 is

GCF of Numerators i.e. for 269,3178 is 1

LCM of denominators i.e. for 397,5639 is 2238683.

Thus, GCF of Fractions is 1/2238683.Finally, GCF of Fractions for 269/397, 3178/5639 is 1/2238683.