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GCF of 169/20, 859/2526

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 169/20, 859/2526 i.e 1/25260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/20, 859/2526.

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 169/20,859/2526?

Given fractions are 169/20,859/2526

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 169/20,859/2526, numerators are 169,859

Denominators are 20,2526

The GCF of 169,859 is 1 .

LCM of 20,2526 is 25260.

The greatest common factor of 169/20,859/2526 = [GCF of 169,859]/[LCM of 20,2526]= 1/25260

Therefore, the GCF of 169/20,859/2526 is 1/25260.

Greatest Common Factor of 169,859

To find the highest common factor of 169,859, we have to find the factors of both numbers and list the highest common factor.

The factors of 169 are 1, 13, 169

The factors of 859 are 1, 859

The HCF of 169,859 is 1.

Lets's calculate GCF of 169,859

Greatest Common Factor (GCF) of 169,859 By Common Division

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

Greatest Common Factor of 169,859 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,859 By Matching Biggest Common Factor Method

Now, list down the factors of 169

:

1,13,169

Now, list down the factors of 859

:

1,859

Greatest Common Factor

We found the factors 169,859 . The biggest common factor number is the GCF number.
So the greatest common factor 169,859 is 1.

Lets's calculate LCM of 20,2526

Lowest Common Multiple of 20,2526 using Common Division

2 20, 2526
10, 1263

∴ So the LCM of the given numbers is 2 x 10 x 1263 = 25260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25260

Therefore, the GCF of Fractions 169/20,859/2526 is 1/25260

Least Common Multiple of 20,2526 with GCF Formula

Least Common Multiple of 20,2526 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 20,2526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,2526) = 2

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

GCF(20,2526) x common factors =2 x 1 = 2

LCM(20,2526) = ( 20 × 2526 ) / 2

LCM(20,2526) = 50520 / 2

LCM(20,2526) = 25260


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FAQs on GCF of Fractions of 169/20, 859/2526

1. What is the HCF of 169,859?

The HCF of 169,859 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 169/20, 859/2526?

Answer: GCF of Numerators as per given numbers 169/20, 859/2526 is

GCF of Numerators i.e. for 169,859 is 1

LCM of denominators i.e. for 20,2526 is 25260.

Thus, GCF of Fractions is 1/25260.Finally, GCF of Fractions for 169/20, 859/2526 is 1/25260.