How to Find GCF of 4458/470, 4953/5438?

GCF of 4458/470, 4953/5438

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 4458/470, 4953/5438 i.e 3/1277930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4458/470, 4953/5438.

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 4458/470,4953/5438?

Given fractions are 4458/470,4953/5438

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 4458/470,4953/5438, numerators are 4458,4953

Denominators are 470,5438

The GCF of 4458,4953 is 3 .

LCM of 470,5438 is 1277930.

The greatest common factor of 4458/470,4953/5438 = [GCF of 4458,4953]/[LCM of 470,5438]= 3/1277930

Therefore, the GCF of 4458/470,4953/5438 is 3/1277930.

Greatest Common Factor of 4458,4953

To find the highest common factor of 4458,4953, we have to find the factors of both numbers and list the highest common factor.

The factors of 4458 are 1, 2, 3, 6, 743, 1486, 2229, 4458

The factors of 4953 are 1, 3, 13, 39, 127, 381, 1651, 4953

The HCF of 4458,4953 is 3.

Lets's calculate GCF of 4458,4953

Greatest Common Factor (GCF) of 4458,4953 By Common Division

3	4458, 4953
	1486, 1651

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4458,4953 By Matching Biggest Common Factor Method

Now, list down the factors of 4458

1,2,3,6,743,1486,2229,4458

Now, list down the factors of 4953

1,3,13,39,127,381,1651,4953

Greatest Common Factor

We found the factors 4458,4953 . The biggest common factor number is the GCF number.
So the greatest common factor 4458,4953 is 3.

Lets's calculate LCM of 470,5438

Lowest Common Multiple of 470,5438 using Common Division

2	470, 5438
	235, 2719

∴ So the LCM of the given numbers is 2 x 235 x 2719 = 1277930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1277930

Therefore, the GCF of Fractions 4458/470,4953/5438 is 3/1277930

Least Common Multiple of 470,5438 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 470,5438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,5438) = 2

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

GCF(470,5438) x common factors =2 x 1 = 2

LCM(470,5438) = ( 470 × 5438 ) / 2

LCM(470,5438) = 2555860 / 2

LCM(470,5438) = 1277930

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FAQs on GCF of Fractions of 4458/470, 4953/5438

1. What is the HCF of 4458,4953?

The HCF of 4458,4953 is 3

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 4458/470, 4953/5438?

Answer: GCF of Numerators as per given numbers 4458/470, 4953/5438 is

GCF of Numerators i.e. for 4458,4953 is 3

LCM of denominators i.e. for 470,5438 is 1277930.

Thus, GCF of Fractions is 3/1277930.Finally, GCF of Fractions for 4458/470, 4953/5438 is 3/1277930.