How to Find GCF of 4328/214, 3646/973?

GCF of 4328/214, 3646/973

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 4328/214, 3646/973 i.e 2/208222 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4328/214, 3646/973.

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 4328/214,3646/973?

Given fractions are 4328/214,3646/973

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 4328/214,3646/973, numerators are 4328,3646

Denominators are 214,973

The GCF of 4328,3646 is 2 .

LCM of 214,973 is 208222.

The greatest common factor of 4328/214,3646/973 = [GCF of 4328,3646]/[LCM of 214,973]= 2/208222

Therefore, the GCF of 4328/214,3646/973 is 2/208222.

Greatest Common Factor of 4328,3646

To find the highest common factor of 4328,3646, we have to find the factors of both numbers and list the highest common factor.

The factors of 4328 are 1, 2, 4, 8, 541, 1082, 2164, 4328

The factors of 3646 are 1, 2, 1823, 3646

The HCF of 4328,3646 is 2.

Lets's calculate GCF of 4328,3646

Greatest Common Factor (GCF) of 4328,3646 By Common Division

2	4328, 3646
	2164, 1823

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

Greatest Common Factor of 4328,3646 By Matching Biggest Common Factor Method

Now, list down the factors of 4328

1,2,4,8,541,1082,2164,4328

Now, list down the factors of 3646

1,2,1823,3646

Greatest Common Factor

We found the factors 4328,3646 . The biggest common factor number is the GCF number.
So the greatest common factor 4328,3646 is 2.

Lets's calculate LCM of 214,973

Lowest Common Multiple of 214,973 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 208222

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/208222

Therefore, the GCF of Fractions 4328/214,3646/973 is 2/208222

Least Common Multiple of 214,973 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 214,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,973) = 1

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

GCF(214,973) x common factors =1 x 1 = 1

LCM(214,973) = ( 214 × 973 ) / 1

LCM(214,973) = 208222 / 1

LCM(214,973) = 208222

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FAQs on GCF of Fractions of 4328/214, 3646/973

1. What is the HCF of 4328,3646?

The HCF of 4328,3646 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 4328/214, 3646/973?

Answer: GCF of Numerators as per given numbers 4328/214, 3646/973 is

GCF of Numerators i.e. for 4328,3646 is 2

LCM of denominators i.e. for 214,973 is 208222.

Thus, GCF of Fractions is 2/208222.Finally, GCF of Fractions for 4328/214, 3646/973 is 2/208222.