How to Find GCF of 7328/121, 1708/384?

GCF of 7328/121, 1708/384

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 7328/121, 1708/384 i.e 4/46464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7328/121, 1708/384.

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 7328/121,1708/384?

Given fractions are 7328/121,1708/384

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 7328/121,1708/384, numerators are 7328,1708

Denominators are 121,384

The GCF of 7328,1708 is 4 .

LCM of 121,384 is 46464.

The greatest common factor of 7328/121,1708/384 = [GCF of 7328,1708]/[LCM of 121,384]= 4/46464

Therefore, the GCF of 7328/121,1708/384 is 4/46464.

Greatest Common Factor of 7328,1708

To find the highest common factor of 7328,1708, we have to find the factors of both numbers and list the highest common factor.

The factors of 7328 are 1, 2, 4, 8, 16, 32, 229, 458, 916, 1832, 3664, 7328

The factors of 1708 are 1, 2, 4, 7, 14, 28, 61, 122, 244, 427, 854, 1708

The HCF of 7328,1708 is 4.

Lets's calculate GCF of 7328,1708

Greatest Common Factor (GCF) of 7328,1708 By Common Division

2	7328, 1708
2	3664, 854
	1832, 427

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7328,1708 By Matching Biggest Common Factor Method

Now, list down the factors of 7328

1,2,4,8,16,32,229,458,916,1832,3664,7328

Now, list down the factors of 1708

1,2,4,7,14,28,61,122,244,427,854,1708

Greatest Common Factor

We found the factors 7328,1708 . The biggest common factor number is the GCF number.
So the greatest common factor 7328,1708 is 4.

Lets's calculate LCM of 121,384

Lowest Common Multiple of 121,384 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 46464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/46464

Therefore, the GCF of Fractions 7328/121,1708/384 is 4/46464

Least Common Multiple of 121,384 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 121,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(121,384) = 1

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

GCF(121,384) x common factors =1 x 1 = 1

LCM(121,384) = ( 121 × 384 ) / 1

LCM(121,384) = 46464 / 1

LCM(121,384) = 46464

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FAQs on GCF of Fractions of 7328/121, 1708/384

1. What is the HCF of 7328,1708?

The HCF of 7328,1708 is 4

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 7328/121, 1708/384?

Answer: GCF of Numerators as per given numbers 7328/121, 1708/384 is

GCF of Numerators i.e. for 7328,1708 is 4

LCM of denominators i.e. for 121,384 is 46464.

Thus, GCF of Fractions is 4/46464.Finally, GCF of Fractions for 7328/121, 1708/384 is 4/46464.