How to Find GCF of 4493/478, 3320/6535?

GCF of 4493/478, 3320/6535

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 4493/478, 3320/6535 i.e 1/3123730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4493/478, 3320/6535.

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 4493/478,3320/6535?

Given fractions are 4493/478,3320/6535

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 4493/478,3320/6535, numerators are 4493,3320

Denominators are 478,6535

The GCF of 4493,3320 is 1 .

LCM of 478,6535 is 3123730.

The greatest common factor of 4493/478,3320/6535 = [GCF of 4493,3320]/[LCM of 478,6535]= 1/3123730

Therefore, the GCF of 4493/478,3320/6535 is 1/3123730.

Greatest Common Factor of 4493,3320

To find the highest common factor of 4493,3320, we have to find the factors of both numbers and list the highest common factor.

The factors of 4493 are 1, 4493

The factors of 3320 are 1, 2, 4, 5, 8, 10, 20, 40, 83, 166, 332, 415, 664, 830, 1660, 3320

The HCF of 4493,3320 is 1.

Lets's calculate GCF of 4493,3320

Greatest Common Factor (GCF) of 4493,3320 By Common Division

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

Greatest Common Factor of 4493,3320 By Matching Biggest Common Factor Method

Now, list down the factors of 4493

1,4493

Now, list down the factors of 3320

1,2,4,5,8,10,20,40,83,166,332,415,664,830,1660,3320

Greatest Common Factor

We found the factors 4493,3320 . The biggest common factor number is the GCF number.
So the greatest common factor 4493,3320 is 1.

Lets's calculate LCM of 478,6535

Lowest Common Multiple of 478,6535 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3123730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3123730

Therefore, the GCF of Fractions 4493/478,3320/6535 is 1/3123730

Least Common Multiple of 478,6535 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 478,6535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,6535) = 1

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

GCF(478,6535) x common factors =1 x 1 = 1

LCM(478,6535) = ( 478 × 6535 ) / 1

LCM(478,6535) = 3123730 / 1

LCM(478,6535) = 3123730

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4493/478, 3320/6535

1. What is the HCF of 4493,3320?

The HCF of 4493,3320 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 4493/478, 3320/6535?

Answer: GCF of Numerators as per given numbers 4493/478, 3320/6535 is

GCF of Numerators i.e. for 4493,3320 is 1

LCM of denominators i.e. for 478,6535 is 3123730.

Thus, GCF of Fractions is 1/3123730.Finally, GCF of Fractions for 4493/478, 3320/6535 is 1/3123730.