How to Find GCF of 348/40, 349/2569?

GCF of 348/40, 349/2569

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 348/40, 349/2569 i.e 1/102760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/40, 349/2569.

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 348/40,349/2569?

Given fractions are 348/40,349/2569

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 348/40,349/2569, numerators are 348,349

Denominators are 40,2569

The GCF of 348,349 is 1 .

LCM of 40,2569 is 102760.

The greatest common factor of 348/40,349/2569 = [GCF of 348,349]/[LCM of 40,2569]= 1/102760

Therefore, the GCF of 348/40,349/2569 is 1/102760.

Greatest Common Factor of 348,349

To find the highest common factor of 348,349, we have to find the factors of both numbers and list the highest common factor.

The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

The factors of 349 are 1, 349

The HCF of 348,349 is 1.

Lets's calculate GCF of 348,349

Greatest Common Factor (GCF) of 348,349 By Common Division

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

Greatest Common Factor of 348,349 By Matching Biggest Common Factor Method

Now, list down the factors of 348

1,2,3,4,6,12,29,58,87,116,174,348

Now, list down the factors of 349

1,349

Greatest Common Factor

We found the factors 348,349 . The biggest common factor number is the GCF number.
So the greatest common factor 348,349 is 1.

Lets's calculate LCM of 40,2569

Lowest Common Multiple of 40,2569 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 102760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102760

Therefore, the GCF of Fractions 348/40,349/2569 is 1/102760

Least Common Multiple of 40,2569 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 40,2569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,2569) = 1

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

GCF(40,2569) x common factors =1 x 1 = 1

LCM(40,2569) = ( 40 × 2569 ) / 1

LCM(40,2569) = 102760 / 1

LCM(40,2569) = 102760

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FAQs on GCF of Fractions of 348/40, 349/2569

1. What is the HCF of 348,349?

The HCF of 348,349 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 348/40, 349/2569?

Answer: GCF of Numerators as per given numbers 348/40, 349/2569 is

GCF of Numerators i.e. for 348,349 is 1

LCM of denominators i.e. for 40,2569 is 102760.

Thus, GCF of Fractions is 1/102760.Finally, GCF of Fractions for 348/40, 349/2569 is 1/102760.