How to Find GCF of 4458/506, 3949/9427?

GCF of 4458/506, 3949/9427

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 4458/506, 3949/9427 i.e 1/433642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4458/506, 3949/9427.

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 4458/506,3949/9427?

Given fractions are 4458/506,3949/9427

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 4458/506,3949/9427, numerators are 4458,3949

Denominators are 506,9427

The GCF of 4458,3949 is 1 .

LCM of 506,9427 is 433642.

The greatest common factor of 4458/506,3949/9427 = [GCF of 4458,3949]/[LCM of 506,9427]= 1/433642

Therefore, the GCF of 4458/506,3949/9427 is 1/433642.

Greatest Common Factor of 4458,3949

To find the highest common factor of 4458,3949, 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 3949 are 1, 11, 359, 3949

The HCF of 4458,3949 is 1.

Lets's calculate GCF of 4458,3949

Greatest Common Factor (GCF) of 4458,3949 By Common Division

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

Greatest Common Factor of 4458,3949 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 3949

1,11,359,3949

Greatest Common Factor

We found the factors 4458,3949 . The biggest common factor number is the GCF number.
So the greatest common factor 4458,3949 is 1.

Lets's calculate LCM of 506,9427

Lowest Common Multiple of 506,9427 using Common Division

11	506, 9427
	46, 857

∴ So the LCM of the given numbers is 11 x 46 x 857 = 433642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/433642

Therefore, the GCF of Fractions 4458/506,3949/9427 is 1/433642

Least Common Multiple of 506,9427 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 506,9427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,9427) = 11

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

GCF(506,9427) x common factors =11 x 1 = 11

LCM(506,9427) = ( 506 × 9427 ) / 11

LCM(506,9427) = 4770062 / 11

LCM(506,9427) = 433642

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FAQs on GCF of Fractions of 4458/506, 3949/9427

1. What is the HCF of 4458,3949?

The HCF of 4458,3949 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 4458/506, 3949/9427?

Answer: GCF of Numerators as per given numbers 4458/506, 3949/9427 is

GCF of Numerators i.e. for 4458,3949 is 1

LCM of denominators i.e. for 506,9427 is 433642.

Thus, GCF of Fractions is 1/433642.Finally, GCF of Fractions for 4458/506, 3949/9427 is 1/433642.