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GCF of 1403/882, 6311/9014

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 1403/882, 6311/9014 i.e 1/3975174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1403/882, 6311/9014.

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 1403/882,6311/9014?

Given fractions are 1403/882,6311/9014

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 1403/882,6311/9014, numerators are 1403,6311

Denominators are 882,9014

The GCF of 1403,6311 is 1 .

LCM of 882,9014 is 3975174.

The greatest common factor of 1403/882,6311/9014 = [GCF of 1403,6311]/[LCM of 882,9014]= 1/3975174

Therefore, the GCF of 1403/882,6311/9014 is 1/3975174.

Greatest Common Factor of 1403,6311

To find the highest common factor of 1403,6311, we have to find the factors of both numbers and list the highest common factor.

The factors of 1403 are 1, 23, 61, 1403

The factors of 6311 are 1, 6311

The HCF of 1403,6311 is 1.

Lets's calculate GCF of 1403,6311

Greatest Common Factor (GCF) of 1403,6311 By Common Division

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

Greatest Common Factor of 1403,6311 By Matching Biggest Common Factor Method

Greatest Common Factor of 1403,6311 By Matching Biggest Common Factor Method

Now, list down the factors of 1403

:

1,23,61,1403

Now, list down the factors of 6311

:

1,6311

Greatest Common Factor

We found the factors 1403,6311 . The biggest common factor number is the GCF number.
So the greatest common factor 1403,6311 is 1.

Lets's calculate LCM of 882,9014

Lowest Common Multiple of 882,9014 using Common Division

2 882, 9014
441, 4507

∴ So the LCM of the given numbers is 2 x 441 x 4507 = 3975174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3975174

Therefore, the GCF of Fractions 1403/882,6311/9014 is 1/3975174

Least Common Multiple of 882,9014 with GCF Formula

Least Common Multiple of 882,9014 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 882,9014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(882,9014) = 2

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

GCF(882,9014) x common factors =2 x 1 = 2

LCM(882,9014) = ( 882 × 9014 ) / 2

LCM(882,9014) = 7950348 / 2

LCM(882,9014) = 3975174


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FAQs on GCF of Fractions of 1403/882, 6311/9014

1. What is the HCF of 1403,6311?

The HCF of 1403,6311 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 1403/882, 6311/9014?

Answer: GCF of Numerators as per given numbers 1403/882, 6311/9014 is

GCF of Numerators i.e. for 1403,6311 is 1

LCM of denominators i.e. for 882,9014 is 3975174.

Thus, GCF of Fractions is 1/3975174.Finally, GCF of Fractions for 1403/882, 6311/9014 is 1/3975174.