How to Find GCF of 3264/947, 3482/5675?

GCF of 3264/947, 3482/5675

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 3264/947, 3482/5675 i.e 2/5374225 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3264/947, 3482/5675.

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 3264/947,3482/5675?

Given fractions are 3264/947,3482/5675

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 3264/947,3482/5675, numerators are 3264,3482

Denominators are 947,5675

The GCF of 3264,3482 is 2 .

LCM of 947,5675 is 5374225.

The greatest common factor of 3264/947,3482/5675 = [GCF of 3264,3482]/[LCM of 947,5675]= 2/5374225

Therefore, the GCF of 3264/947,3482/5675 is 2/5374225.

Greatest Common Factor of 3264,3482

To find the highest common factor of 3264,3482, we have to find the factors of both numbers and list the highest common factor.

The factors of 3264 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 136, 192, 204, 272, 408, 544, 816, 1088, 1632, 3264

The factors of 3482 are 1, 2, 1741, 3482

The HCF of 3264,3482 is 2.

Lets's calculate GCF of 3264,3482

Greatest Common Factor (GCF) of 3264,3482 By Common Division

2	3264, 3482
	1632, 1741

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

Greatest Common Factor of 3264,3482 By Matching Biggest Common Factor Method

Now, list down the factors of 3264

1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,136,192,204,272,408,544,816,1088,1632,3264

Now, list down the factors of 3482

1,2,1741,3482

Greatest Common Factor

We found the factors 3264,3482 . The biggest common factor number is the GCF number.
So the greatest common factor 3264,3482 is 2.

Lets's calculate LCM of 947,5675

Lowest Common Multiple of 947,5675 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5374225

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5374225

Therefore, the GCF of Fractions 3264/947,3482/5675 is 2/5374225

Least Common Multiple of 947,5675 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 947,5675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,5675) = 1

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

GCF(947,5675) x common factors =1 x 1 = 1

LCM(947,5675) = ( 947 × 5675 ) / 1

LCM(947,5675) = 5374225 / 1

LCM(947,5675) = 5374225

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FAQs on GCF of Fractions of 3264/947, 3482/5675

1. What is the HCF of 3264,3482?

The HCF of 3264,3482 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 3264/947, 3482/5675?

Answer: GCF of Numerators as per given numbers 3264/947, 3482/5675 is

GCF of Numerators i.e. for 3264,3482 is 2

LCM of denominators i.e. for 947,5675 is 5374225.

Thus, GCF of Fractions is 2/5374225.Finally, GCF of Fractions for 3264/947, 3482/5675 is 2/5374225.