How to Find GCF of 9680/219, 5443/2954?

GCF of 9680/219, 5443/2954

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 9680/219, 5443/2954 i.e 1/646926 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9680/219, 5443/2954.

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 9680/219,5443/2954?

Given fractions are 9680/219,5443/2954

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 9680/219,5443/2954, numerators are 9680,5443

Denominators are 219,2954

The GCF of 9680,5443 is 1 .

LCM of 219,2954 is 646926.

The greatest common factor of 9680/219,5443/2954 = [GCF of 9680,5443]/[LCM of 219,2954]= 1/646926

Therefore, the GCF of 9680/219,5443/2954 is 1/646926.

Greatest Common Factor of 9680,5443

To find the highest common factor of 9680,5443, we have to find the factors of both numbers and list the highest common factor.

The factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680

The factors of 5443 are 1, 5443

The HCF of 9680,5443 is 1.

Lets's calculate GCF of 9680,5443

Greatest Common Factor (GCF) of 9680,5443 By Common Division

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

Greatest Common Factor of 9680,5443 By Matching Biggest Common Factor Method

Now, list down the factors of 9680

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,121,176,220,242,440,484,605,880,968,1210,1936,2420,4840,9680

Now, list down the factors of 5443

1,5443

Greatest Common Factor

We found the factors 9680,5443 . The biggest common factor number is the GCF number.
So the greatest common factor 9680,5443 is 1.

Lets's calculate LCM of 219,2954

Lowest Common Multiple of 219,2954 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 646926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/646926

Therefore, the GCF of Fractions 9680/219,5443/2954 is 1/646926

Least Common Multiple of 219,2954 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 219,2954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(219,2954) = 1

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

GCF(219,2954) x common factors =1 x 1 = 1

LCM(219,2954) = ( 219 × 2954 ) / 1

LCM(219,2954) = 646926 / 1

LCM(219,2954) = 646926

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FAQs on GCF of Fractions of 9680/219, 5443/2954

1. What is the HCF of 9680,5443?

The HCF of 9680,5443 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 9680/219, 5443/2954?

Answer: GCF of Numerators as per given numbers 9680/219, 5443/2954 is

GCF of Numerators i.e. for 9680,5443 is 1

LCM of denominators i.e. for 219,2954 is 646926.

Thus, GCF of Fractions is 1/646926.Finally, GCF of Fractions for 9680/219, 5443/2954 is 1/646926.