How to Find GCF of 3841/993, 7016/566?

GCF of 3841/993, 7016/566

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 3841/993, 7016/566 i.e 1/562038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3841/993, 7016/566.

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 3841/993,7016/566?

Given fractions are 3841/993,7016/566

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 3841/993,7016/566, numerators are 3841,7016

Denominators are 993,566

The GCF of 3841,7016 is 1 .

LCM of 993,566 is 562038.

The greatest common factor of 3841/993,7016/566 = [GCF of 3841,7016]/[LCM of 993,566]= 1/562038

Therefore, the GCF of 3841/993,7016/566 is 1/562038.

Greatest Common Factor of 3841,7016

To find the highest common factor of 3841,7016, we have to find the factors of both numbers and list the highest common factor.

The factors of 3841 are 1, 23, 167, 3841

The factors of 7016 are 1, 2, 4, 8, 877, 1754, 3508, 7016

The HCF of 3841,7016 is 1.

Lets's calculate GCF of 3841,7016

Greatest Common Factor (GCF) of 3841,7016 By Common Division

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

Greatest Common Factor of 3841,7016 By Matching Biggest Common Factor Method

Now, list down the factors of 3841

1,23,167,3841

Now, list down the factors of 7016

1,2,4,8,877,1754,3508,7016

Greatest Common Factor

We found the factors 3841,7016 . The biggest common factor number is the GCF number.
So the greatest common factor 3841,7016 is 1.

Lets's calculate LCM of 993,566

Lowest Common Multiple of 993,566 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 562038

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/562038

Therefore, the GCF of Fractions 3841/993,7016/566 is 1/562038

Least Common Multiple of 993,566 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 993,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(993,566) = 1

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

GCF(993,566) x common factors =1 x 1 = 1

LCM(993,566) = ( 993 × 566 ) / 1

LCM(993,566) = 562038 / 1

LCM(993,566) = 562038

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FAQs on GCF of Fractions of 3841/993, 7016/566

1. What is the HCF of 3841,7016?

The HCF of 3841,7016 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 3841/993, 7016/566?

Answer: GCF of Numerators as per given numbers 3841/993, 7016/566 is

GCF of Numerators i.e. for 3841,7016 is 1

LCM of denominators i.e. for 993,566 is 562038.

Thus, GCF of Fractions is 1/562038.Finally, GCF of Fractions for 3841/993, 7016/566 is 1/562038.