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GCF of 151/232, 2174/978

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 151/232, 2174/978 i.e 1/113448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 151/232, 2174/978.

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 151/232,2174/978?

Given fractions are 151/232,2174/978

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 151/232,2174/978, numerators are 151,2174

Denominators are 232,978

The GCF of 151,2174 is 1 .

LCM of 232,978 is 113448.

The greatest common factor of 151/232,2174/978 = [GCF of 151,2174]/[LCM of 232,978]= 1/113448

Therefore, the GCF of 151/232,2174/978 is 1/113448.

Greatest Common Factor of 151,2174

To find the highest common factor of 151,2174, we have to find the factors of both numbers and list the highest common factor.

The factors of 151 are 1, 151

The factors of 2174 are 1, 2, 1087, 2174

The HCF of 151,2174 is 1.

Lets's calculate GCF of 151,2174

Greatest Common Factor (GCF) of 151,2174 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 151,2174 By Matching Biggest Common Factor Method

Greatest Common Factor of 151,2174 By Matching Biggest Common Factor Method

Now, list down the factors of 151

:

1,151

Now, list down the factors of 2174

:

1,2,1087,2174

Greatest Common Factor

We found the factors 151,2174 . The biggest common factor number is the GCF number.
So the greatest common factor 151,2174 is 1.

Lets's calculate LCM of 232,978

Lowest Common Multiple of 232,978 using Common Division

2 232, 978
116, 489

∴ So the LCM of the given numbers is 2 x 116 x 489 = 113448

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113448

Therefore, the GCF of Fractions 151/232,2174/978 is 1/113448

Least Common Multiple of 232,978 with GCF Formula

Least Common Multiple of 232,978 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 232,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(232,978) = 2

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

GCF(232,978) x common factors =2 x 1 = 2

LCM(232,978) = ( 232 × 978 ) / 2

LCM(232,978) = 226896 / 2

LCM(232,978) = 113448


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FAQs on GCF of Fractions of 151/232, 2174/978

1. What is the HCF of 151,2174?

The HCF of 151,2174 is 1

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 151/232, 2174/978?

Answer: GCF of Numerators as per given numbers 151/232, 2174/978 is

GCF of Numerators i.e. for 151,2174 is 1

LCM of denominators i.e. for 232,978 is 113448.

Thus, GCF of Fractions is 1/113448.Finally, GCF of Fractions for 151/232, 2174/978 is 1/113448.