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GCF of 662/92, 166/219

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 662/92, 166/219 i.e 2/20148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/92, 166/219.

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 662/92,166/219?

Given fractions are 662/92,166/219

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 662/92,166/219, numerators are 662,166

Denominators are 92,219

The GCF of 662,166 is 2 .

LCM of 92,219 is 20148.

The greatest common factor of 662/92,166/219 = [GCF of 662,166]/[LCM of 92,219]= 2/20148

Therefore, the GCF of 662/92,166/219 is 2/20148.

Greatest Common Factor of 662,166

To find the highest common factor of 662,166, we have to find the factors of both numbers and list the highest common factor.

The factors of 662 are 1, 2, 331, 662

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

The HCF of 662,166 is 2.

Lets's calculate GCF of 662,166

Greatest Common Factor (GCF) of 662,166 By Common Division

2 662, 166
331, 83

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

Greatest Common Factor of 662,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,166 By Matching Biggest Common Factor Method

Now, list down the factors of 662

:

1,2,331,662

Now, list down the factors of 166

:

1,2,83,166

Greatest Common Factor

We found the factors 662,166 . The biggest common factor number is the GCF number.
So the greatest common factor 662,166 is 2.

Lets's calculate LCM of 92,219

Lowest Common Multiple of 92,219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 20148

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20148

Therefore, the GCF of Fractions 662/92,166/219 is 2/20148

Least Common Multiple of 92,219 with GCF Formula

Least Common Multiple of 92,219 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 92,219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,219) = 1

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

GCF(92,219) x common factors =1 x 1 = 1

LCM(92,219) = ( 92 × 219 ) / 1

LCM(92,219) = 20148 / 1

LCM(92,219) = 20148


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FAQs on GCF of Fractions of 662/92, 166/219

1. What is the HCF of 662,166?

The HCF of 662,166 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 662/92, 166/219?

Answer: GCF of Numerators as per given numbers 662/92, 166/219 is

GCF of Numerators i.e. for 662,166 is 2

LCM of denominators i.e. for 92,219 is 20148.

Thus, GCF of Fractions is 2/20148.Finally, GCF of Fractions for 662/92, 166/219 is 2/20148.