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GCF of 683/26, 170/1918

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 683/26, 170/1918 i.e 1/24934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 683/26, 170/1918.

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 683/26,170/1918?

Given fractions are 683/26,170/1918

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 683/26,170/1918, numerators are 683,170

Denominators are 26,1918

The GCF of 683,170 is 1 .

LCM of 26,1918 is 24934.

The greatest common factor of 683/26,170/1918 = [GCF of 683,170]/[LCM of 26,1918]= 1/24934

Therefore, the GCF of 683/26,170/1918 is 1/24934.

Greatest Common Factor of 683,170

To find the highest common factor of 683,170, we have to find the factors of both numbers and list the highest common factor.

The factors of 683 are 1, 683

The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170

The HCF of 683,170 is 1.

Lets's calculate GCF of 683,170

Greatest Common Factor (GCF) of 683,170 By Common Division

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

Greatest Common Factor of 683,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,170 By Matching Biggest Common Factor Method

Now, list down the factors of 683

:

1,683

Now, list down the factors of 170

:

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 683,170 . The biggest common factor number is the GCF number.
So the greatest common factor 683,170 is 1.

Lets's calculate LCM of 26,1918

Lowest Common Multiple of 26,1918 using Common Division

2 26, 1918
13, 959

∴ So the LCM of the given numbers is 2 x 13 x 959 = 24934

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24934

Therefore, the GCF of Fractions 683/26,170/1918 is 1/24934

Least Common Multiple of 26,1918 with GCF Formula

Least Common Multiple of 26,1918 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 26,1918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,1918) = 2

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

GCF(26,1918) x common factors =2 x 1 = 2

LCM(26,1918) = ( 26 × 1918 ) / 2

LCM(26,1918) = 49868 / 2

LCM(26,1918) = 24934


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FAQs on GCF of Fractions of 683/26, 170/1918

1. What is the HCF of 683,170?

The HCF of 683,170 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 683/26, 170/1918?

Answer: GCF of Numerators as per given numbers 683/26, 170/1918 is

GCF of Numerators i.e. for 683,170 is 1

LCM of denominators i.e. for 26,1918 is 24934.

Thus, GCF of Fractions is 1/24934.Finally, GCF of Fractions for 683/26, 170/1918 is 1/24934.