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GCF of 454/850, 3789/166

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 454/850, 3789/166 i.e 1/70550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 454/850, 3789/166.

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 454/850,3789/166?

Given fractions are 454/850,3789/166

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 454/850,3789/166, numerators are 454,3789

Denominators are 850,166

The GCF of 454,3789 is 1 .

LCM of 850,166 is 70550.

The greatest common factor of 454/850,3789/166 = [GCF of 454,3789]/[LCM of 850,166]= 1/70550

Therefore, the GCF of 454/850,3789/166 is 1/70550.

Greatest Common Factor of 454,3789

To find the highest common factor of 454,3789, we have to find the factors of both numbers and list the highest common factor.

The factors of 454 are 1, 2, 227, 454

The factors of 3789 are 1, 3, 9, 421, 1263, 3789

The HCF of 454,3789 is 1.

Lets's calculate GCF of 454,3789

Greatest Common Factor (GCF) of 454,3789 By Common Division

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

Greatest Common Factor of 454,3789 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,3789 By Matching Biggest Common Factor Method

Now, list down the factors of 454

:

1,2,227,454

Now, list down the factors of 3789

:

1,3,9,421,1263,3789

Greatest Common Factor

We found the factors 454,3789 . The biggest common factor number is the GCF number.
So the greatest common factor 454,3789 is 1.

Lets's calculate LCM of 850,166

Lowest Common Multiple of 850,166 using Common Division

2 850, 166
425, 83

∴ So the LCM of the given numbers is 2 x 425 x 83 = 70550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70550

Therefore, the GCF of Fractions 454/850,3789/166 is 1/70550

Least Common Multiple of 850,166 with GCF Formula

Least Common Multiple of 850,166 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 850,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,166) = 2

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

GCF(850,166) x common factors =2 x 1 = 2

LCM(850,166) = ( 850 × 166 ) / 2

LCM(850,166) = 141100 / 2

LCM(850,166) = 70550


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FAQs on GCF of Fractions of 454/850, 3789/166

1. What is the HCF of 454,3789?

The HCF of 454,3789 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 454/850, 3789/166?

Answer: GCF of Numerators as per given numbers 454/850, 3789/166 is

GCF of Numerators i.e. for 454,3789 is 1

LCM of denominators i.e. for 850,166 is 70550.

Thus, GCF of Fractions is 1/70550.Finally, GCF of Fractions for 454/850, 3789/166 is 1/70550.