How to Find GCF of 275/41, 686/3668?

GCF of 275/41, 686/3668

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 275/41, 686/3668 i.e 1/150388 easily. The following is the detailed procedure to determine the greatest common factor of fractions 275/41, 686/3668.

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 275/41,686/3668?

Given fractions are 275/41,686/3668

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 275/41,686/3668, numerators are 275,686

Denominators are 41,3668

The GCF of 275,686 is 1 .

LCM of 41,3668 is 150388.

The greatest common factor of 275/41,686/3668 = [GCF of 275,686]/[LCM of 41,3668]= 1/150388

Therefore, the GCF of 275/41,686/3668 is 1/150388.

Greatest Common Factor of 275,686

To find the highest common factor of 275,686, we have to find the factors of both numbers and list the highest common factor.

The factors of 275 are 1, 5, 11, 25, 55, 275

The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686

The HCF of 275,686 is 1.

Lets's calculate GCF of 275,686

Greatest Common Factor (GCF) of 275,686 By Common Division

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

Greatest Common Factor of 275,686 By Matching Biggest Common Factor Method

Now, list down the factors of 275

1,5,11,25,55,275

Now, list down the factors of 686

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors 275,686 . The biggest common factor number is the GCF number.
So the greatest common factor 275,686 is 1.

Lets's calculate LCM of 41,3668

Lowest Common Multiple of 41,3668 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 150388

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150388

Therefore, the GCF of Fractions 275/41,686/3668 is 1/150388

Least Common Multiple of 41,3668 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 41,3668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,3668) = 1

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

GCF(41,3668) x common factors =1 x 1 = 1

LCM(41,3668) = ( 41 × 3668 ) / 1

LCM(41,3668) = 150388 / 1

LCM(41,3668) = 150388

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FAQs on GCF of Fractions of 275/41, 686/3668

1. What is the HCF of 275,686?

The HCF of 275,686 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 275/41, 686/3668?

Answer: GCF of Numerators as per given numbers 275/41, 686/3668 is

GCF of Numerators i.e. for 275,686 is 1

LCM of denominators i.e. for 41,3668 is 150388.

Thus, GCF of Fractions is 1/150388.Finally, GCF of Fractions for 275/41, 686/3668 is 1/150388.