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GCF of 732/722, 162/170

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 732/722, 162/170 i.e 6/61370 easily. The following is the detailed procedure to determine the greatest common factor of fractions 732/722, 162/170.

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 732/722,162/170?

Given fractions are 732/722,162/170

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 732/722,162/170, numerators are 732,162

Denominators are 722,170

The GCF of 732,162 is 6 .

LCM of 722,170 is 61370.

The greatest common factor of 732/722,162/170 = [GCF of 732,162]/[LCM of 722,170]= 6/61370

Therefore, the GCF of 732/722,162/170 is 6/61370.

Greatest Common Factor of 732,162

To find the highest common factor of 732,162, we have to find the factors of both numbers and list the highest common factor.

The factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

The factors of 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

The HCF of 732,162 is 6.

Lets's calculate GCF of 732,162

Greatest Common Factor (GCF) of 732,162 By Common Division

2 732, 162
3 366, 81
122, 27

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 732,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 732,162 By Matching Biggest Common Factor Method

Now, list down the factors of 732

:

1,2,3,4,6,12,61,122,183,244,366,732

Now, list down the factors of 162

:

1,2,3,6,9,18,27,54,81,162

Greatest Common Factor

We found the factors 732,162 . The biggest common factor number is the GCF number.
So the greatest common factor 732,162 is 6.

Lets's calculate LCM of 722,170

Lowest Common Multiple of 722,170 using Common Division

2 722, 170
361, 85

∴ So the LCM of the given numbers is 2 x 361 x 85 = 61370

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/61370

Therefore, the GCF of Fractions 732/722,162/170 is 6/61370

Least Common Multiple of 722,170 with GCF Formula

Least Common Multiple of 722,170 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 722,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,170) = 2

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

GCF(722,170) x common factors =2 x 1 = 2

LCM(722,170) = ( 722 × 170 ) / 2

LCM(722,170) = 122740 / 2

LCM(722,170) = 61370


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FAQs on GCF of Fractions of 732/722, 162/170

1. What is the HCF of 732,162?

The HCF of 732,162 is 6

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 732/722, 162/170?

Answer: GCF of Numerators as per given numbers 732/722, 162/170 is

GCF of Numerators i.e. for 732,162 is 6

LCM of denominators i.e. for 722,170 is 61370.

Thus, GCF of Fractions is 6/61370.Finally, GCF of Fractions for 732/722, 162/170 is 6/61370.