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GCF of 1791/100, 3667/168

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 1791/100, 3667/168 i.e 1/4200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1791/100, 3667/168.

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 1791/100,3667/168?

Given fractions are 1791/100,3667/168

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 1791/100,3667/168, numerators are 1791,3667

Denominators are 100,168

The GCF of 1791,3667 is 1 .

LCM of 100,168 is 4200.

The greatest common factor of 1791/100,3667/168 = [GCF of 1791,3667]/[LCM of 100,168]= 1/4200

Therefore, the GCF of 1791/100,3667/168 is 1/4200.

Greatest Common Factor of 1791,3667

To find the highest common factor of 1791,3667, we have to find the factors of both numbers and list the highest common factor.

The factors of 1791 are 1, 3, 9, 199, 597, 1791

The factors of 3667 are 1, 19, 193, 3667

The HCF of 1791,3667 is 1.

Lets's calculate GCF of 1791,3667

Greatest Common Factor (GCF) of 1791,3667 By Common Division

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

Greatest Common Factor of 1791,3667 By Matching Biggest Common Factor Method

Greatest Common Factor of 1791,3667 By Matching Biggest Common Factor Method

Now, list down the factors of 1791

:

1,3,9,199,597,1791

Now, list down the factors of 3667

:

1,19,193,3667

Greatest Common Factor

We found the factors 1791,3667 . The biggest common factor number is the GCF number.
So the greatest common factor 1791,3667 is 1.

Lets's calculate LCM of 100,168

Lowest Common Multiple of 100,168 using Common Division

2 100, 168
2 50, 84
25, 42

∴ So the LCM of the given numbers is 2 x 2 x 25 x 42 = 4200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4200

Therefore, the GCF of Fractions 1791/100,3667/168 is 1/4200

Least Common Multiple of 100,168 with GCF Formula

Least Common Multiple of 100,168 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 100,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,168) = 4

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

GCF(100,168) x common factors =4 x 1 = 4

LCM(100,168) = ( 100 × 168 ) / 4

LCM(100,168) = 16800 / 4

LCM(100,168) = 4200


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FAQs on GCF of Fractions of 1791/100, 3667/168

1. What is the HCF of 1791,3667?

The HCF of 1791,3667 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 1791/100, 3667/168?

Answer: GCF of Numerators as per given numbers 1791/100, 3667/168 is

GCF of Numerators i.e. for 1791,3667 is 1

LCM of denominators i.e. for 100,168 is 4200.

Thus, GCF of Fractions is 1/4200.Finally, GCF of Fractions for 1791/100, 3667/168 is 1/4200.