How to Find GCF of 3673/662, 3282/7927?

GCF of 3673/662, 3282/7927

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 3673/662, 3282/7927 i.e 1/5247674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3673/662, 3282/7927.

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 3673/662,3282/7927?

Given fractions are 3673/662,3282/7927

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 3673/662,3282/7927, numerators are 3673,3282

Denominators are 662,7927

The GCF of 3673,3282 is 1 .

LCM of 662,7927 is 5247674.

The greatest common factor of 3673/662,3282/7927 = [GCF of 3673,3282]/[LCM of 662,7927]= 1/5247674

Therefore, the GCF of 3673/662,3282/7927 is 1/5247674.

Greatest Common Factor of 3673,3282

To find the highest common factor of 3673,3282, we have to find the factors of both numbers and list the highest common factor.

The factors of 3673 are 1, 3673

The factors of 3282 are 1, 2, 3, 6, 547, 1094, 1641, 3282

The HCF of 3673,3282 is 1.

Lets's calculate GCF of 3673,3282

Greatest Common Factor (GCF) of 3673,3282 By Common Division

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

Greatest Common Factor of 3673,3282 By Matching Biggest Common Factor Method

Now, list down the factors of 3673

1,3673

Now, list down the factors of 3282

1,2,3,6,547,1094,1641,3282

Greatest Common Factor

We found the factors 3673,3282 . The biggest common factor number is the GCF number.
So the greatest common factor 3673,3282 is 1.

Lets's calculate LCM of 662,7927

Lowest Common Multiple of 662,7927 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5247674

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5247674

Therefore, the GCF of Fractions 3673/662,3282/7927 is 1/5247674

Least Common Multiple of 662,7927 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 662,7927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(662,7927) = 1

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

GCF(662,7927) x common factors =1 x 1 = 1

LCM(662,7927) = ( 662 × 7927 ) / 1

LCM(662,7927) = 5247674 / 1

LCM(662,7927) = 5247674

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FAQs on GCF of Fractions of 3673/662, 3282/7927

1. What is the HCF of 3673,3282?

The HCF of 3673,3282 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 3673/662, 3282/7927?

Answer: GCF of Numerators as per given numbers 3673/662, 3282/7927 is

GCF of Numerators i.e. for 3673,3282 is 1

LCM of denominators i.e. for 662,7927 is 5247674.

Thus, GCF of Fractions is 1/5247674.Finally, GCF of Fractions for 3673/662, 3282/7927 is 1/5247674.