How to Find GCF of 3754/669, 5697/8678?

GCF of 3754/669, 5697/8678

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 3754/669, 5697/8678 i.e 1/5805582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3754/669, 5697/8678.

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 3754/669,5697/8678?

Given fractions are 3754/669,5697/8678

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 3754/669,5697/8678, numerators are 3754,5697

Denominators are 669,8678

The GCF of 3754,5697 is 1 .

LCM of 669,8678 is 5805582.

The greatest common factor of 3754/669,5697/8678 = [GCF of 3754,5697]/[LCM of 669,8678]= 1/5805582

Therefore, the GCF of 3754/669,5697/8678 is 1/5805582.

Greatest Common Factor of 3754,5697

To find the highest common factor of 3754,5697, we have to find the factors of both numbers and list the highest common factor.

The factors of 3754 are 1, 2, 1877, 3754

The factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697

The HCF of 3754,5697 is 1.

Lets's calculate GCF of 3754,5697

Greatest Common Factor (GCF) of 3754,5697 By Common Division

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

Greatest Common Factor of 3754,5697 By Matching Biggest Common Factor Method

Now, list down the factors of 3754

1,2,1877,3754

Now, list down the factors of 5697

1,3,9,27,211,633,1899,5697

Greatest Common Factor

We found the factors 3754,5697 . The biggest common factor number is the GCF number.
So the greatest common factor 3754,5697 is 1.

Lets's calculate LCM of 669,8678

Lowest Common Multiple of 669,8678 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5805582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5805582

Therefore, the GCF of Fractions 3754/669,5697/8678 is 1/5805582

Least Common Multiple of 669,8678 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 669,8678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(669,8678) = 1

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

GCF(669,8678) x common factors =1 x 1 = 1

LCM(669,8678) = ( 669 × 8678 ) / 1

LCM(669,8678) = 5805582 / 1

LCM(669,8678) = 5805582

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FAQs on GCF of Fractions of 3754/669, 5697/8678

1. What is the HCF of 3754,5697?

The HCF of 3754,5697 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 3754/669, 5697/8678?

Answer: GCF of Numerators as per given numbers 3754/669, 5697/8678 is

GCF of Numerators i.e. for 3754,5697 is 1

LCM of denominators i.e. for 669,8678 is 5805582.

Thus, GCF of Fractions is 1/5805582.Finally, GCF of Fractions for 3754/669, 5697/8678 is 1/5805582.