How to Find GCF of 4447/668, 6703/4496?

GCF of 4447/668, 6703/4496

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 4447/668, 6703/4496 i.e 1/750832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4447/668, 6703/4496.

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 4447/668,6703/4496?

Given fractions are 4447/668,6703/4496

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 4447/668,6703/4496, numerators are 4447,6703

Denominators are 668,4496

The GCF of 4447,6703 is 1 .

LCM of 668,4496 is 750832.

The greatest common factor of 4447/668,6703/4496 = [GCF of 4447,6703]/[LCM of 668,4496]= 1/750832

Therefore, the GCF of 4447/668,6703/4496 is 1/750832.

Greatest Common Factor of 4447,6703

To find the highest common factor of 4447,6703, we have to find the factors of both numbers and list the highest common factor.

The factors of 4447 are 1, 4447

The factors of 6703 are 1, 6703

The HCF of 4447,6703 is 1.

Lets's calculate GCF of 4447,6703

Greatest Common Factor (GCF) of 4447,6703 By Common Division

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

Greatest Common Factor of 4447,6703 By Matching Biggest Common Factor Method

Now, list down the factors of 4447

1,4447

Now, list down the factors of 6703

1,6703

Greatest Common Factor

We found the factors 4447,6703 . The biggest common factor number is the GCF number.
So the greatest common factor 4447,6703 is 1.

Lets's calculate LCM of 668,4496

Lowest Common Multiple of 668,4496 using Common Division

2	668, 4496
2	334, 2248
	167, 1124

∴ So the LCM of the given numbers is 2 x 2 x 167 x 1124 = 750832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/750832

Therefore, the GCF of Fractions 4447/668,6703/4496 is 1/750832

Least Common Multiple of 668,4496 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 668,4496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,4496) = 4

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

GCF(668,4496) x common factors =4 x 1 = 4

LCM(668,4496) = ( 668 × 4496 ) / 4

LCM(668,4496) = 3003328 / 4

LCM(668,4496) = 750832

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FAQs on GCF of Fractions of 4447/668, 6703/4496

1. What is the HCF of 4447,6703?

The HCF of 4447,6703 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 4447/668, 6703/4496?

Answer: GCF of Numerators as per given numbers 4447/668, 6703/4496 is

GCF of Numerators i.e. for 4447,6703 is 1

LCM of denominators i.e. for 668,4496 is 750832.

Thus, GCF of Fractions is 1/750832.Finally, GCF of Fractions for 4447/668, 6703/4496 is 1/750832.