How to Find GCF of 6681/491, 3127/7628?

GCF of 6681/491, 3127/7628

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 6681/491, 3127/7628 i.e 1/3745348 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6681/491, 3127/7628.

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 6681/491,3127/7628?

Given fractions are 6681/491,3127/7628

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 6681/491,3127/7628, numerators are 6681,3127

Denominators are 491,7628

The GCF of 6681,3127 is 1 .

LCM of 491,7628 is 3745348.

The greatest common factor of 6681/491,3127/7628 = [GCF of 6681,3127]/[LCM of 491,7628]= 1/3745348

Therefore, the GCF of 6681/491,3127/7628 is 1/3745348.

Greatest Common Factor of 6681,3127

To find the highest common factor of 6681,3127, we have to find the factors of both numbers and list the highest common factor.

The factors of 6681 are 1, 3, 17, 51, 131, 393, 2227, 6681

The factors of 3127 are 1, 53, 59, 3127

The HCF of 6681,3127 is 1.

Lets's calculate GCF of 6681,3127

Greatest Common Factor (GCF) of 6681,3127 By Common Division

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

Greatest Common Factor of 6681,3127 By Matching Biggest Common Factor Method

Now, list down the factors of 6681

1,3,17,51,131,393,2227,6681

Now, list down the factors of 3127

1,53,59,3127

Greatest Common Factor

We found the factors 6681,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 6681,3127 is 1.

Lets's calculate LCM of 491,7628

Lowest Common Multiple of 491,7628 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3745348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3745348

Therefore, the GCF of Fractions 6681/491,3127/7628 is 1/3745348

Least Common Multiple of 491,7628 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 491,7628 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,7628) = 1

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

GCF(491,7628) x common factors =1 x 1 = 1

LCM(491,7628) = ( 491 × 7628 ) / 1

LCM(491,7628) = 3745348 / 1

LCM(491,7628) = 3745348

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FAQs on GCF of Fractions of 6681/491, 3127/7628

1. What is the HCF of 6681,3127?

The HCF of 6681,3127 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 6681/491, 3127/7628?

Answer: GCF of Numerators as per given numbers 6681/491, 3127/7628 is

GCF of Numerators i.e. for 6681,3127 is 1

LCM of denominators i.e. for 491,7628 is 3745348.

Thus, GCF of Fractions is 1/3745348.Finally, GCF of Fractions for 6681/491, 3127/7628 is 1/3745348.