How to Find GCF of 4467/488, 4214/488?

GCF of 4467/488, 4214/488

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 4467/488, 4214/488 i.e 1/488 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4467/488, 4214/488.

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 4467/488,4214/488?

Given fractions are 4467/488,4214/488

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 4467/488,4214/488, numerators are 4467,4214

Denominators are 488,488

The GCF of 4467,4214 is 1 .

LCM of 488,488 is 488.

The greatest common factor of 4467/488,4214/488 = [GCF of 4467,4214]/[LCM of 488,488]= 1/488

Therefore, the GCF of 4467/488,4214/488 is 1/488.

Greatest Common Factor of 4467,4214

To find the highest common factor of 4467,4214, we have to find the factors of both numbers and list the highest common factor.

The factors of 4467 are 1, 3, 1489, 4467

The factors of 4214 are 1, 2, 7, 14, 43, 49, 86, 98, 301, 602, 2107, 4214

The HCF of 4467,4214 is 1.

Lets's calculate GCF of 4467,4214

Greatest Common Factor (GCF) of 4467,4214 By Common Division

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

Greatest Common Factor of 4467,4214 By Matching Biggest Common Factor Method

Now, list down the factors of 4467

1,3,1489,4467

Now, list down the factors of 4214

1,2,7,14,43,49,86,98,301,602,2107,4214

Greatest Common Factor

We found the factors 4467,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 4467,4214 is 1.

Lets's calculate LCM of 488,488

Lowest Common Multiple of 488,488 using Common Division

2	488, 488
2	244, 244
2	122, 122
61	61, 61
	1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 1 x 1 = 488

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488

Therefore, the GCF of Fractions 4467/488,4214/488 is 1/488

Least Common Multiple of 488,488 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 488,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,488) = 488

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

GCF(488,488) x common factors =488 x 1 = 488

LCM(488,488) = ( 488 × 488 ) / 488

LCM(488,488) = 238144 / 488

LCM(488,488) = 488

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FAQs on GCF of Fractions of 4467/488, 4214/488

1. What is the HCF of 4467,4214?

The HCF of 4467,4214 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 4467/488, 4214/488?

Answer: GCF of Numerators as per given numbers 4467/488, 4214/488 is

GCF of Numerators i.e. for 4467,4214 is 1

LCM of denominators i.e. for 488,488 is 488.

Thus, GCF of Fractions is 1/488.Finally, GCF of Fractions for 4467/488, 4214/488 is 1/488.