How to Find GCF of 3730/697, 8559/6677?

GCF of 3730/697, 8559/6677

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 3730/697, 8559/6677 i.e 1/4653869 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3730/697, 8559/6677.

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 3730/697,8559/6677?

Given fractions are 3730/697,8559/6677

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 3730/697,8559/6677, numerators are 3730,8559

Denominators are 697,6677

The GCF of 3730,8559 is 1 .

LCM of 697,6677 is 4653869.

The greatest common factor of 3730/697,8559/6677 = [GCF of 3730,8559]/[LCM of 697,6677]= 1/4653869

Therefore, the GCF of 3730/697,8559/6677 is 1/4653869.

Greatest Common Factor of 3730,8559

To find the highest common factor of 3730,8559, we have to find the factors of both numbers and list the highest common factor.

The factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730

The factors of 8559 are 1, 3, 9, 27, 317, 951, 2853, 8559

The HCF of 3730,8559 is 1.

Lets's calculate GCF of 3730,8559

Greatest Common Factor (GCF) of 3730,8559 By Common Division

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

Greatest Common Factor of 3730,8559 By Matching Biggest Common Factor Method

Now, list down the factors of 3730

1,2,5,10,373,746,1865,3730

Now, list down the factors of 8559

1,3,9,27,317,951,2853,8559

Greatest Common Factor

We found the factors 3730,8559 . The biggest common factor number is the GCF number.
So the greatest common factor 3730,8559 is 1.

Lets's calculate LCM of 697,6677

Lowest Common Multiple of 697,6677 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4653869

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4653869

Therefore, the GCF of Fractions 3730/697,8559/6677 is 1/4653869

Least Common Multiple of 697,6677 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 697,6677 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(697,6677) = 1

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

GCF(697,6677) x common factors =1 x 1 = 1

LCM(697,6677) = ( 697 × 6677 ) / 1

LCM(697,6677) = 4653869 / 1

LCM(697,6677) = 4653869

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FAQs on GCF of Fractions of 3730/697, 8559/6677

1. What is the HCF of 3730,8559?

The HCF of 3730,8559 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 3730/697, 8559/6677?

Answer: GCF of Numerators as per given numbers 3730/697, 8559/6677 is

GCF of Numerators i.e. for 3730,8559 is 1

LCM of denominators i.e. for 697,6677 is 4653869.

Thus, GCF of Fractions is 1/4653869.Finally, GCF of Fractions for 3730/697, 8559/6677 is 1/4653869.