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GCF of 1667/885, 8042/590

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 1667/885, 8042/590 i.e 1/1770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1667/885, 8042/590.

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 1667/885,8042/590?

Given fractions are 1667/885,8042/590

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 1667/885,8042/590, numerators are 1667,8042

Denominators are 885,590

The GCF of 1667,8042 is 1 .

LCM of 885,590 is 1770.

The greatest common factor of 1667/885,8042/590 = [GCF of 1667,8042]/[LCM of 885,590]= 1/1770

Therefore, the GCF of 1667/885,8042/590 is 1/1770.

Greatest Common Factor of 1667,8042

To find the highest common factor of 1667,8042, 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 8042 are 1, 2, 4021, 8042

The HCF of 1667,8042 is 1.

Lets's calculate GCF of 1667,8042

Greatest Common Factor (GCF) of 1667,8042 By Common Division

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

Greatest Common Factor of 1667,8042 By Matching Biggest Common Factor Method

Greatest Common Factor of 1667,8042 By Matching Biggest Common Factor Method

Now, list down the factors of 1667

:

1,1667

Now, list down the factors of 8042

:

1,2,4021,8042

Greatest Common Factor

We found the factors 1667,8042 . The biggest common factor number is the GCF number.
So the greatest common factor 1667,8042 is 1.

Lets's calculate LCM of 885,590

Lowest Common Multiple of 885,590 using Common Division

5 885, 590
59 177, 118
3, 2

∴ So the LCM of the given numbers is 5 x 59 x 3 x 2 = 1770

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1770

Therefore, the GCF of Fractions 1667/885,8042/590 is 1/1770

Least Common Multiple of 885,590 with GCF Formula

Least Common Multiple of 885,590 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 885,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,590) = 295

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

GCF(885,590) x common factors =295 x 1 = 295

LCM(885,590) = ( 885 × 590 ) / 295

LCM(885,590) = 522150 / 295

LCM(885,590) = 1770


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FAQs on GCF of Fractions of 1667/885, 8042/590

1. What is the HCF of 1667,8042?

The HCF of 1667,8042 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 1667/885, 8042/590?

Answer: GCF of Numerators as per given numbers 1667/885, 8042/590 is

GCF of Numerators i.e. for 1667,8042 is 1

LCM of denominators i.e. for 885,590 is 1770.

Thus, GCF of Fractions is 1/1770.Finally, GCF of Fractions for 1667/885, 8042/590 is 1/1770.