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GCF of 890/48, 989/706

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 890/48, 989/706 i.e 1/16944 easily. The following is the detailed procedure to determine the greatest common factor of fractions 890/48, 989/706.

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 890/48,989/706?

Given fractions are 890/48,989/706

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 890/48,989/706, numerators are 890,989

Denominators are 48,706

The GCF of 890,989 is 1 .

LCM of 48,706 is 16944.

The greatest common factor of 890/48,989/706 = [GCF of 890,989]/[LCM of 48,706]= 1/16944

Therefore, the GCF of 890/48,989/706 is 1/16944.

Greatest Common Factor of 890,989

To find the highest common factor of 890,989, 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 989 are 1, 23, 43, 989

The HCF of 890,989 is 1.

Lets's calculate GCF of 890,989

Greatest Common Factor (GCF) of 890,989 By Common Division

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

Greatest Common Factor of 890,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 890,989 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 989

:

1,23,43,989

Greatest Common Factor

We found the factors 890,989 . The biggest common factor number is the GCF number.
So the greatest common factor 890,989 is 1.

Lets's calculate LCM of 48,706

Lowest Common Multiple of 48,706 using Common Division

2 48, 706
24, 353

∴ So the LCM of the given numbers is 2 x 24 x 353 = 16944

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16944

Therefore, the GCF of Fractions 890/48,989/706 is 1/16944

Least Common Multiple of 48,706 with GCF Formula

Least Common Multiple of 48,706 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 48,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,706) = 2

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

GCF(48,706) x common factors =2 x 1 = 2

LCM(48,706) = ( 48 × 706 ) / 2

LCM(48,706) = 33888 / 2

LCM(48,706) = 16944


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FAQs on GCF of Fractions of 890/48, 989/706

1. What is the HCF of 890,989?

The HCF of 890,989 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 890/48, 989/706?

Answer: GCF of Numerators as per given numbers 890/48, 989/706 is

GCF of Numerators i.e. for 890,989 is 1

LCM of denominators i.e. for 48,706 is 16944.

Thus, GCF of Fractions is 1/16944.Finally, GCF of Fractions for 890/48, 989/706 is 1/16944.