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GCF of 169/28, 110/684

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 169/28, 110/684 i.e 1/4788 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/28, 110/684.

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 169/28,110/684?

Given fractions are 169/28,110/684

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 169/28,110/684, numerators are 169,110

Denominators are 28,684

The GCF of 169,110 is 1 .

LCM of 28,684 is 4788.

The greatest common factor of 169/28,110/684 = [GCF of 169,110]/[LCM of 28,684]= 1/4788

Therefore, the GCF of 169/28,110/684 is 1/4788.

Greatest Common Factor of 169,110

To find the highest common factor of 169,110, 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 110 are 1, 2, 5, 10, 11, 22, 55, 110

The HCF of 169,110 is 1.

Lets's calculate GCF of 169,110

Greatest Common Factor (GCF) of 169,110 By Common Division

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

Greatest Common Factor of 169,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 169,110 By Matching Biggest Common Factor Method

Now, list down the factors of 169

:

1,13,169

Now, list down the factors of 110

:

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 169,110 . The biggest common factor number is the GCF number.
So the greatest common factor 169,110 is 1.

Lets's calculate LCM of 28,684

Lowest Common Multiple of 28,684 using Common Division

2 28, 684
2 14, 342
7, 171

∴ So the LCM of the given numbers is 2 x 2 x 7 x 171 = 4788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4788

Therefore, the GCF of Fractions 169/28,110/684 is 1/4788

Least Common Multiple of 28,684 with GCF Formula

Least Common Multiple of 28,684 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 28,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,684) = 4

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

GCF(28,684) x common factors =4 x 1 = 4

LCM(28,684) = ( 28 × 684 ) / 4

LCM(28,684) = 19152 / 4

LCM(28,684) = 4788


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FAQs on GCF of Fractions of 169/28, 110/684

1. What is the HCF of 169,110?

The HCF of 169,110 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 169/28, 110/684?

Answer: GCF of Numerators as per given numbers 169/28, 110/684 is

GCF of Numerators i.e. for 169,110 is 1

LCM of denominators i.e. for 28,684 is 4788.

Thus, GCF of Fractions is 1/4788.Finally, GCF of Fractions for 169/28, 110/684 is 1/4788.