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GCF of 154/205, 982/329

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 154/205, 982/329 i.e 2/67445 easily. The following is the detailed procedure to determine the greatest common factor of fractions 154/205, 982/329.

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 154/205,982/329?

Given fractions are 154/205,982/329

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 154/205,982/329, numerators are 154,982

Denominators are 205,329

The GCF of 154,982 is 2 .

LCM of 205,329 is 67445.

The greatest common factor of 154/205,982/329 = [GCF of 154,982]/[LCM of 205,329]= 2/67445

Therefore, the GCF of 154/205,982/329 is 2/67445.

Greatest Common Factor of 154,982

To find the highest common factor of 154,982, 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 982 are 1, 2, 491, 982

The HCF of 154,982 is 2.

Lets's calculate GCF of 154,982

Greatest Common Factor (GCF) of 154,982 By Common Division

2 154, 982
77, 491

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

Greatest Common Factor of 154,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,982 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 982

:

1,2,491,982

Greatest Common Factor

We found the factors 154,982 . The biggest common factor number is the GCF number.
So the greatest common factor 154,982 is 2.

Lets's calculate LCM of 205,329

Lowest Common Multiple of 205,329 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 67445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67445

Therefore, the GCF of Fractions 154/205,982/329 is 2/67445

Least Common Multiple of 205,329 with GCF Formula

Least Common Multiple of 205,329 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 205,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,329) = 1

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

GCF(205,329) x common factors =1 x 1 = 1

LCM(205,329) = ( 205 × 329 ) / 1

LCM(205,329) = 67445 / 1

LCM(205,329) = 67445


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FAQs on GCF of Fractions of 154/205, 982/329

1. What is the HCF of 154,982?

The HCF of 154,982 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 154/205, 982/329?

Answer: GCF of Numerators as per given numbers 154/205, 982/329 is

GCF of Numerators i.e. for 154,982 is 2

LCM of denominators i.e. for 205,329 is 67445.

Thus, GCF of Fractions is 2/67445.Finally, GCF of Fractions for 154/205, 982/329 is 2/67445.