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GCF of 170/455, 653/598

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 170/455, 653/598 i.e 1/20930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 170/455, 653/598.

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 170/455,653/598?

Given fractions are 170/455,653/598

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 170/455,653/598, numerators are 170,653

Denominators are 455,598

The GCF of 170,653 is 1 .

LCM of 455,598 is 20930.

The greatest common factor of 170/455,653/598 = [GCF of 170,653]/[LCM of 455,598]= 1/20930

Therefore, the GCF of 170/455,653/598 is 1/20930.

Greatest Common Factor of 170,653

To find the highest common factor of 170,653, 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 653 are 1, 653

The HCF of 170,653 is 1.

Lets's calculate GCF of 170,653

Greatest Common Factor (GCF) of 170,653 By Common Division

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

Greatest Common Factor of 170,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,653 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 653

:

1,653

Greatest Common Factor

We found the factors 170,653 . The biggest common factor number is the GCF number.
So the greatest common factor 170,653 is 1.

Lets's calculate LCM of 455,598

Lowest Common Multiple of 455,598 using Common Division

13 455, 598
35, 46

∴ So the LCM of the given numbers is 13 x 35 x 46 = 20930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20930

Therefore, the GCF of Fractions 170/455,653/598 is 1/20930

Least Common Multiple of 455,598 with GCF Formula

Least Common Multiple of 455,598 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 455,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(455,598) = 13

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

GCF(455,598) x common factors =13 x 1 = 13

LCM(455,598) = ( 455 × 598 ) / 13

LCM(455,598) = 272090 / 13

LCM(455,598) = 20930


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FAQs on GCF of Fractions of 170/455, 653/598

1. What is the HCF of 170,653?

The HCF of 170,653 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 170/455, 653/598?

Answer: GCF of Numerators as per given numbers 170/455, 653/598 is

GCF of Numerators i.e. for 170,653 is 1

LCM of denominators i.e. for 455,598 is 20930.

Thus, GCF of Fractions is 1/20930.Finally, GCF of Fractions for 170/455, 653/598 is 1/20930.