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GCF of 1667/274, 9293/214

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 1667/274, 9293/214 i.e 1/29318 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1667/274, 9293/214.

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 1667/274,9293/214?

Given fractions are 1667/274,9293/214

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 1667/274,9293/214, numerators are 1667,9293

Denominators are 274,214

The GCF of 1667,9293 is 1 .

LCM of 274,214 is 29318.

The greatest common factor of 1667/274,9293/214 = [GCF of 1667,9293]/[LCM of 274,214]= 1/29318

Therefore, the GCF of 1667/274,9293/214 is 1/29318.

Greatest Common Factor of 1667,9293

To find the highest common factor of 1667,9293, we have to find the factors of both numbers and list the highest common factor.

The factors of 1667 are 1, 1667

The factors of 9293 are 1, 9293

The HCF of 1667,9293 is 1.

Lets's calculate GCF of 1667,9293

Greatest Common Factor (GCF) of 1667,9293 By Common Division

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

Greatest Common Factor of 1667,9293 By Matching Biggest Common Factor Method

Greatest Common Factor of 1667,9293 By Matching Biggest Common Factor Method

Now, list down the factors of 1667

:

1,1667

Now, list down the factors of 9293

:

1,9293

Greatest Common Factor

We found the factors 1667,9293 . The biggest common factor number is the GCF number.
So the greatest common factor 1667,9293 is 1.

Lets's calculate LCM of 274,214

Lowest Common Multiple of 274,214 using Common Division

2 274, 214
137, 107

∴ So the LCM of the given numbers is 2 x 137 x 107 = 29318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29318

Therefore, the GCF of Fractions 1667/274,9293/214 is 1/29318

Least Common Multiple of 274,214 with GCF Formula

Least Common Multiple of 274,214 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 274,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,214) = 2

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

GCF(274,214) x common factors =2 x 1 = 2

LCM(274,214) = ( 274 × 214 ) / 2

LCM(274,214) = 58636 / 2

LCM(274,214) = 29318


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FAQs on GCF of Fractions of 1667/274, 9293/214

1. What is the HCF of 1667,9293?

The HCF of 1667,9293 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 1667/274, 9293/214?

Answer: GCF of Numerators as per given numbers 1667/274, 9293/214 is

GCF of Numerators i.e. for 1667,9293 is 1

LCM of denominators i.e. for 274,214 is 29318.

Thus, GCF of Fractions is 1/29318.Finally, GCF of Fractions for 1667/274, 9293/214 is 1/29318.