How to Find GCF of 4667/400, 4691/5007?

GCF of 4667/400, 4691/5007

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 4667/400, 4691/5007 i.e 1/2002800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4667/400, 4691/5007.

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 4667/400,4691/5007?

Given fractions are 4667/400,4691/5007

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 4667/400,4691/5007, numerators are 4667,4691

Denominators are 400,5007

The GCF of 4667,4691 is 1 .

LCM of 400,5007 is 2002800.

The greatest common factor of 4667/400,4691/5007 = [GCF of 4667,4691]/[LCM of 400,5007]= 1/2002800

Therefore, the GCF of 4667/400,4691/5007 is 1/2002800.

Greatest Common Factor of 4667,4691

To find the highest common factor of 4667,4691, we have to find the factors of both numbers and list the highest common factor.

The factors of 4667 are 1, 13, 359, 4667

The factors of 4691 are 1, 4691

The HCF of 4667,4691 is 1.

Lets's calculate GCF of 4667,4691

Greatest Common Factor (GCF) of 4667,4691 By Common Division

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

Greatest Common Factor of 4667,4691 By Matching Biggest Common Factor Method

Now, list down the factors of 4667

1,13,359,4667

Now, list down the factors of 4691

1,4691

Greatest Common Factor

We found the factors 4667,4691 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,4691 is 1.

Lets's calculate LCM of 400,5007

Lowest Common Multiple of 400,5007 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2002800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2002800

Therefore, the GCF of Fractions 4667/400,4691/5007 is 1/2002800

Least Common Multiple of 400,5007 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 400,5007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,5007) = 1

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

GCF(400,5007) x common factors =1 x 1 = 1

LCM(400,5007) = ( 400 × 5007 ) / 1

LCM(400,5007) = 2002800 / 1

LCM(400,5007) = 2002800

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FAQs on GCF of Fractions of 4667/400, 4691/5007

1. What is the HCF of 4667,4691?

The HCF of 4667,4691 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 4667/400, 4691/5007?

Answer: GCF of Numerators as per given numbers 4667/400, 4691/5007 is

GCF of Numerators i.e. for 4667,4691 is 1

LCM of denominators i.e. for 400,5007 is 2002800.

Thus, GCF of Fractions is 1/2002800.Finally, GCF of Fractions for 4667/400, 4691/5007 is 1/2002800.