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GCF of 154/88, 166/147

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 154/88, 166/147 i.e 2/12936 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/88, 166/147.

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 154/88,166/147?

Given fractions are 154/88,166/147

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 154/88,166/147, numerators are 154,166

Denominators are 88,147

The GCF of 154,166 is 2 .

LCM of 88,147 is 12936.

The greatest common factor of 154/88,166/147 = [GCF of 154,166]/[LCM of 88,147]= 2/12936

Therefore, the GCF of 154/88,166/147 is 2/12936.

Greatest Common Factor of 154,166

To find the highest common factor of 154,166, we have to find the factors of both numbers and list the highest common factor.

The factors of 154 are 1, 2, 7, 11, 14, 22, 77, 154

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

The HCF of 154,166 is 2.

Lets's calculate GCF of 154,166

Greatest Common Factor (GCF) of 154,166 By Common Division

2 154, 166
77, 83

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

Greatest Common Factor of 154,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,166 By Matching Biggest Common Factor Method

Now, list down the factors of 154

:

1,2,7,11,14,22,77,154

Now, list down the factors of 166

:

1,2,83,166

Greatest Common Factor

We found the factors 154,166 . The biggest common factor number is the GCF number.
So the greatest common factor 154,166 is 2.

Lets's calculate LCM of 88,147

Lowest Common Multiple of 88,147 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 12936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12936

Therefore, the GCF of Fractions 154/88,166/147 is 2/12936

Least Common Multiple of 88,147 with GCF Formula

Least Common Multiple of 88,147 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 88,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,147) = 1

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

GCF(88,147) x common factors =1 x 1 = 1

LCM(88,147) = ( 88 × 147 ) / 1

LCM(88,147) = 12936 / 1

LCM(88,147) = 12936


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FAQs on GCF of Fractions of 154/88, 166/147

1. What is the HCF of 154,166?

The HCF of 154,166 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 154/88, 166/147?

Answer: GCF of Numerators as per given numbers 154/88, 166/147 is

GCF of Numerators i.e. for 154,166 is 2

LCM of denominators i.e. for 88,147 is 12936.

Thus, GCF of Fractions is 2/12936.Finally, GCF of Fractions for 154/88, 166/147 is 2/12936.