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GCF of 166/164, 370/820

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 166/164, 370/820 i.e 2/820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 166/164, 370/820.

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 166/164,370/820?

Given fractions are 166/164,370/820

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 166/164,370/820, numerators are 166,370

Denominators are 164,820

The GCF of 166,370 is 2 .

LCM of 164,820 is 820.

The greatest common factor of 166/164,370/820 = [GCF of 166,370]/[LCM of 164,820]= 2/820

Therefore, the GCF of 166/164,370/820 is 2/820.

Greatest Common Factor of 166,370

To find the highest common factor of 166,370, we have to find the factors of both numbers and list the highest common factor.

The factors of 166 are 1, 2, 83, 166

The factors of 370 are 1, 2, 5, 10, 37, 74, 185, 370

The HCF of 166,370 is 2.

Lets's calculate GCF of 166,370

Greatest Common Factor (GCF) of 166,370 By Common Division

2 166, 370
83, 185

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

Greatest Common Factor of 166,370 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,370 By Matching Biggest Common Factor Method

Now, list down the factors of 166

:

1,2,83,166

Now, list down the factors of 370

:

1,2,5,10,37,74,185,370

Greatest Common Factor

We found the factors 166,370 . The biggest common factor number is the GCF number.
So the greatest common factor 166,370 is 2.

Lets's calculate LCM of 164,820

Lowest Common Multiple of 164,820 using Common Division

2 164, 820
2 82, 410
41 41, 205
1, 5

∴ So the LCM of the given numbers is 2 x 2 x 41 x 1 x 5 = 820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/820

Therefore, the GCF of Fractions 166/164,370/820 is 2/820

Least Common Multiple of 164,820 with GCF Formula

Least Common Multiple of 164,820 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 164,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(164,820) = 164

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

GCF(164,820) x common factors =164 x 1 = 164

LCM(164,820) = ( 164 × 820 ) / 164

LCM(164,820) = 134480 / 164

LCM(164,820) = 820


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FAQs on GCF of Fractions of 166/164, 370/820

1. What is the HCF of 166,370?

The HCF of 166,370 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 166/164, 370/820?

Answer: GCF of Numerators as per given numbers 166/164, 370/820 is

GCF of Numerators i.e. for 166,370 is 2

LCM of denominators i.e. for 164,820 is 820.

Thus, GCF of Fractions is 2/820.Finally, GCF of Fractions for 166/164, 370/820 is 2/820.