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GCF of 6687/896, 1601/314

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 6687/896, 1601/314 i.e 1/140672 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6687/896, 1601/314.

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 6687/896,1601/314?

Given fractions are 6687/896,1601/314

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 6687/896,1601/314, numerators are 6687,1601

Denominators are 896,314

The GCF of 6687,1601 is 1 .

LCM of 896,314 is 140672.

The greatest common factor of 6687/896,1601/314 = [GCF of 6687,1601]/[LCM of 896,314]= 1/140672

Therefore, the GCF of 6687/896,1601/314 is 1/140672.

Greatest Common Factor of 6687,1601

To find the highest common factor of 6687,1601, we have to find the factors of both numbers and list the highest common factor.

The factors of 6687 are 1, 3, 9, 743, 2229, 6687

The factors of 1601 are 1, 1601

The HCF of 6687,1601 is 1.

Lets's calculate GCF of 6687,1601

Greatest Common Factor (GCF) of 6687,1601 By Common Division

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

Greatest Common Factor of 6687,1601 By Matching Biggest Common Factor Method

Greatest Common Factor of 6687,1601 By Matching Biggest Common Factor Method

Now, list down the factors of 6687

:

1,3,9,743,2229,6687

Now, list down the factors of 1601

:

1,1601

Greatest Common Factor

We found the factors 6687,1601 . The biggest common factor number is the GCF number.
So the greatest common factor 6687,1601 is 1.

Lets's calculate LCM of 896,314

Lowest Common Multiple of 896,314 using Common Division

2 896, 314
448, 157

∴ So the LCM of the given numbers is 2 x 448 x 157 = 140672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/140672

Therefore, the GCF of Fractions 6687/896,1601/314 is 1/140672

Least Common Multiple of 896,314 with GCF Formula

Least Common Multiple of 896,314 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 896,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,314) = 2

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

GCF(896,314) x common factors =2 x 1 = 2

LCM(896,314) = ( 896 × 314 ) / 2

LCM(896,314) = 281344 / 2

LCM(896,314) = 140672


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FAQs on GCF of Fractions of 6687/896, 1601/314

1. What is the HCF of 6687,1601?

The HCF of 6687,1601 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 6687/896, 1601/314?

Answer: GCF of Numerators as per given numbers 6687/896, 1601/314 is

GCF of Numerators i.e. for 6687,1601 is 1

LCM of denominators i.e. for 896,314 is 140672.

Thus, GCF of Fractions is 1/140672.Finally, GCF of Fractions for 6687/896, 1601/314 is 1/140672.