How to Find GCF of 4697/464, 6379/6611?

GCF of 4697/464, 6379/6611

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 4697/464, 6379/6611 i.e 1/3067504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4697/464, 6379/6611.

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 4697/464,6379/6611?

Given fractions are 4697/464,6379/6611

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 4697/464,6379/6611, numerators are 4697,6379

Denominators are 464,6611

The GCF of 4697,6379 is 1 .

LCM of 464,6611 is 3067504.

The greatest common factor of 4697/464,6379/6611 = [GCF of 4697,6379]/[LCM of 464,6611]= 1/3067504

Therefore, the GCF of 4697/464,6379/6611 is 1/3067504.

Greatest Common Factor of 4697,6379

To find the highest common factor of 4697,6379, we have to find the factors of both numbers and list the highest common factor.

The factors of 4697 are 1, 7, 11, 61, 77, 427, 671, 4697

The factors of 6379 are 1, 6379

The HCF of 4697,6379 is 1.

Lets's calculate GCF of 4697,6379

Greatest Common Factor (GCF) of 4697,6379 By Common Division

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

Greatest Common Factor of 4697,6379 By Matching Biggest Common Factor Method

Now, list down the factors of 4697

1,7,11,61,77,427,671,4697

Now, list down the factors of 6379

1,6379

Greatest Common Factor

We found the factors 4697,6379 . The biggest common factor number is the GCF number.
So the greatest common factor 4697,6379 is 1.

Lets's calculate LCM of 464,6611

Lowest Common Multiple of 464,6611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3067504

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3067504

Therefore, the GCF of Fractions 4697/464,6379/6611 is 1/3067504

Least Common Multiple of 464,6611 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 464,6611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,6611) = 1

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

GCF(464,6611) x common factors =1 x 1 = 1

LCM(464,6611) = ( 464 × 6611 ) / 1

LCM(464,6611) = 3067504 / 1

LCM(464,6611) = 3067504

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FAQs on GCF of Fractions of 4697/464, 6379/6611

1. What is the HCF of 4697,6379?

The HCF of 4697,6379 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 4697/464, 6379/6611?

Answer: GCF of Numerators as per given numbers 4697/464, 6379/6611 is

GCF of Numerators i.e. for 4697,6379 is 1

LCM of denominators i.e. for 464,6611 is 3067504.

Thus, GCF of Fractions is 1/3067504.Finally, GCF of Fractions for 4697/464, 6379/6611 is 1/3067504.