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GCF of 694/37, 162/234

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 694/37, 162/234 i.e 2/8658 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/37, 162/234.

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 694/37,162/234?

Given fractions are 694/37,162/234

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 694/37,162/234, numerators are 694,162

Denominators are 37,234

The GCF of 694,162 is 2 .

LCM of 37,234 is 8658.

The greatest common factor of 694/37,162/234 = [GCF of 694,162]/[LCM of 37,234]= 2/8658

Therefore, the GCF of 694/37,162/234 is 2/8658.

Greatest Common Factor of 694,162

To find the highest common factor of 694,162, we have to find the factors of both numbers and list the highest common factor.

The factors of 694 are 1, 2, 347, 694

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

The HCF of 694,162 is 2.

Lets's calculate GCF of 694,162

Greatest Common Factor (GCF) of 694,162 By Common Division

2 694, 162
347, 81

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

Greatest Common Factor of 694,162 By Matching Biggest Common Factor Method

Greatest Common Factor of 694,162 By Matching Biggest Common Factor Method

Now, list down the factors of 694

:

1,2,347,694

Now, list down the factors of 162

:

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

Greatest Common Factor

We found the factors 694,162 . The biggest common factor number is the GCF number.
So the greatest common factor 694,162 is 2.

Lets's calculate LCM of 37,234

Lowest Common Multiple of 37,234 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8658

Therefore, the GCF of Fractions 694/37,162/234 is 2/8658

Least Common Multiple of 37,234 with GCF Formula

Least Common Multiple of 37,234 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 37,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,234) = 1

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

GCF(37,234) x common factors =1 x 1 = 1

LCM(37,234) = ( 37 × 234 ) / 1

LCM(37,234) = 8658 / 1

LCM(37,234) = 8658


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FAQs on GCF of Fractions of 694/37, 162/234

1. What is the HCF of 694,162?

The HCF of 694,162 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 694/37, 162/234?

Answer: GCF of Numerators as per given numbers 694/37, 162/234 is

GCF of Numerators i.e. for 694,162 is 2

LCM of denominators i.e. for 37,234 is 8658.

Thus, GCF of Fractions is 2/8658.Finally, GCF of Fractions for 694/37, 162/234 is 2/8658.