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GCF of 170/69, 518/892

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 170/69, 518/892 i.e 2/61548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 170/69, 518/892.

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 170/69,518/892?

Given fractions are 170/69,518/892

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 170/69,518/892, numerators are 170,518

Denominators are 69,892

The GCF of 170,518 is 2 .

LCM of 69,892 is 61548.

The greatest common factor of 170/69,518/892 = [GCF of 170,518]/[LCM of 69,892]= 2/61548

Therefore, the GCF of 170/69,518/892 is 2/61548.

Greatest Common Factor of 170,518

To find the highest common factor of 170,518, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 170,518 is 2.

Lets's calculate GCF of 170,518

Greatest Common Factor (GCF) of 170,518 By Common Division

2 170, 518
85, 259

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 170,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,518 By Matching Biggest Common Factor Method

Now, list down the factors of 170

:

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

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 170,518 . The biggest common factor number is the GCF number.
So the greatest common factor 170,518 is 2.

Lets's calculate LCM of 69,892

Lowest Common Multiple of 69,892 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 61548

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61548

Therefore, the GCF of Fractions 170/69,518/892 is 2/61548

Least Common Multiple of 69,892 with GCF Formula

Least Common Multiple of 69,892 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 69,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,892) = 1

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

GCF(69,892) x common factors =1 x 1 = 1

LCM(69,892) = ( 69 × 892 ) / 1

LCM(69,892) = 61548 / 1

LCM(69,892) = 61548


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FAQs on GCF of Fractions of 170/69, 518/892

1. What is the HCF of 170,518?

The HCF of 170,518 is 2

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 170/69, 518/892?

Answer: GCF of Numerators as per given numbers 170/69, 518/892 is

GCF of Numerators i.e. for 170,518 is 2

LCM of denominators i.e. for 69,892 is 61548.

Thus, GCF of Fractions is 2/61548.Finally, GCF of Fractions for 170/69, 518/892 is 2/61548.