How to Find GCF of 1628/885, 7499/5946?

GCF of 1628/885, 7499/5946

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 1628/885, 7499/5946 i.e 1/1754070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1628/885, 7499/5946.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 1628/885,7499/5946?

Given fractions are 1628/885,7499/5946

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 1628/885,7499/5946, numerators are 1628,7499

Denominators are 885,5946

The GCF of 1628,7499 is 1 .

LCM of 885,5946 is 1754070.

The greatest common factor of 1628/885,7499/5946 = [GCF of 1628,7499]/[LCM of 885,5946]= 1/1754070

Therefore, the GCF of 1628/885,7499/5946 is 1/1754070.

Greatest Common Factor of 1628,7499

To find the highest common factor of 1628,7499, we have to find the factors of both numbers and list the highest common factor.

The factors of 1628 are 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628

The factors of 7499 are 1, 7499

The HCF of 1628,7499 is 1.

Lets's calculate GCF of 1628,7499

Greatest Common Factor (GCF) of 1628,7499 By Common Division

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

Greatest Common Factor of 1628,7499 By Matching Biggest Common Factor Method

Now, list down the factors of 1628

1,2,4,11,22,37,44,74,148,407,814,1628

Now, list down the factors of 7499

1,7499

Greatest Common Factor

We found the factors 1628,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 1628,7499 is 1.

Lets's calculate LCM of 885,5946

Lowest Common Multiple of 885,5946 using Common Division

3	885, 5946
	295, 1982

∴ So the LCM of the given numbers is 3 x 295 x 1982 = 1754070

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1754070

Therefore, the GCF of Fractions 1628/885,7499/5946 is 1/1754070

Least Common Multiple of 885,5946 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 885,5946 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(885,5946) = 3

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

GCF(885,5946) x common factors =3 x 1 = 3

LCM(885,5946) = ( 885 × 5946 ) / 3

LCM(885,5946) = 5262210 / 3

LCM(885,5946) = 1754070

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FAQs on GCF of Fractions of 1628/885, 7499/5946

1. What is the HCF of 1628,7499?

The HCF of 1628,7499 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 1628/885, 7499/5946?

Answer: GCF of Numerators as per given numbers 1628/885, 7499/5946 is

GCF of Numerators i.e. for 1628,7499 is 1

LCM of denominators i.e. for 885,5946 is 1754070.

Thus, GCF of Fractions is 1/1754070.Finally, GCF of Fractions for 1628/885, 7499/5946 is 1/1754070.