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GCF of 890/611, 850/873

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 890/611, 850/873 i.e 10/533403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/611, 850/873.

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 890/611,850/873?

Given fractions are 890/611,850/873

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 890/611,850/873, numerators are 890,850

Denominators are 611,873

The GCF of 890,850 is 10 .

LCM of 611,873 is 533403.

The greatest common factor of 890/611,850/873 = [GCF of 890,850]/[LCM of 611,873]= 10/533403

Therefore, the GCF of 890/611,850/873 is 10/533403.

Greatest Common Factor of 890,850

To find the highest common factor of 890,850, we have to find the factors of both numbers and list the highest common factor.

The factors of 890 are 1, 2, 5, 10, 89, 178, 445, 890

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The HCF of 890,850 is 10.

Lets's calculate GCF of 890,850

Greatest Common Factor (GCF) of 890,850 By Common Division

2 890, 850
5 445, 425
89, 85

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 890,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,850 By Matching Biggest Common Factor Method

Now, list down the factors of 890

:

1,2,5,10,89,178,445,890

Now, list down the factors of 850

:

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 890,850 . The biggest common factor number is the GCF number.
So the greatest common factor 890,850 is 10.

Lets's calculate LCM of 611,873

Lowest Common Multiple of 611,873 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 533403

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/533403

Therefore, the GCF of Fractions 890/611,850/873 is 10/533403

Least Common Multiple of 611,873 with GCF Formula

Least Common Multiple of 611,873 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 611,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,873) = 1

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

GCF(611,873) x common factors =1 x 1 = 1

LCM(611,873) = ( 611 × 873 ) / 1

LCM(611,873) = 533403 / 1

LCM(611,873) = 533403


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 890/611, 850/873

1. What is the HCF of 890,850?

The HCF of 890,850 is 10

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 890/611, 850/873?

Answer: GCF of Numerators as per given numbers 890/611, 850/873 is

GCF of Numerators i.e. for 890,850 is 10

LCM of denominators i.e. for 611,873 is 533403.

Thus, GCF of Fractions is 10/533403.Finally, GCF of Fractions for 890/611, 850/873 is 10/533403.