How to Find GCF of 2332/671, 6690/705?

GCF of 2332/671, 6690/705

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 2332/671, 6690/705 i.e 2/473055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2332/671, 6690/705.

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 2332/671,6690/705?

Given fractions are 2332/671,6690/705

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 2332/671,6690/705, numerators are 2332,6690

Denominators are 671,705

The GCF of 2332,6690 is 2 .

LCM of 671,705 is 473055.

The greatest common factor of 2332/671,6690/705 = [GCF of 2332,6690]/[LCM of 671,705]= 2/473055

Therefore, the GCF of 2332/671,6690/705 is 2/473055.

Greatest Common Factor of 2332,6690

To find the highest common factor of 2332,6690, we have to find the factors of both numbers and list the highest common factor.

The factors of 2332 are 1, 2, 4, 11, 22, 44, 53, 106, 212, 583, 1166, 2332

The factors of 6690 are 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690

The HCF of 2332,6690 is 2.

Lets's calculate GCF of 2332,6690

Greatest Common Factor (GCF) of 2332,6690 By Common Division

2	2332, 6690
	1166, 3345

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 2332,6690 By Matching Biggest Common Factor Method

Now, list down the factors of 2332

1,2,4,11,22,44,53,106,212,583,1166,2332

Now, list down the factors of 6690

1,2,3,5,6,10,15,30,223,446,669,1115,1338,2230,3345,6690

Greatest Common Factor

We found the factors 2332,6690 . The biggest common factor number is the GCF number.
So the greatest common factor 2332,6690 is 2.

Lets's calculate LCM of 671,705

Lowest Common Multiple of 671,705 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 473055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/473055

Therefore, the GCF of Fractions 2332/671,6690/705 is 2/473055

Least Common Multiple of 671,705 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 671,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(671,705) = 1

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

GCF(671,705) x common factors =1 x 1 = 1

LCM(671,705) = ( 671 × 705 ) / 1

LCM(671,705) = 473055 / 1

LCM(671,705) = 473055

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FAQs on GCF of Fractions of 2332/671, 6690/705

1. What is the HCF of 2332,6690?

The HCF of 2332,6690 is 2

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 2332/671, 6690/705?

Answer: GCF of Numerators as per given numbers 2332/671, 6690/705 is

GCF of Numerators i.e. for 2332,6690 is 2

LCM of denominators i.e. for 671,705 is 473055.

Thus, GCF of Fractions is 2/473055.Finally, GCF of Fractions for 2332/671, 6690/705 is 2/473055.