How to Find GCF of 576/680, 1109/332?

GCF of 576/680, 1109/332

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 576/680, 1109/332 i.e 1/56440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 576/680, 1109/332.

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 576/680,1109/332?

Given fractions are 576/680,1109/332

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 576/680,1109/332, numerators are 576,1109

Denominators are 680,332

The GCF of 576,1109 is 1 .

LCM of 680,332 is 56440.

The greatest common factor of 576/680,1109/332 = [GCF of 576,1109]/[LCM of 680,332]= 1/56440

Therefore, the GCF of 576/680,1109/332 is 1/56440.

Greatest Common Factor of 576,1109

To find the highest common factor of 576,1109, we have to find the factors of both numbers and list the highest common factor.

The factors of 576 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

The factors of 1109 are 1, 1109

The HCF of 576,1109 is 1.

Lets's calculate GCF of 576,1109

Greatest Common Factor (GCF) of 576,1109 By Common Division

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

Greatest Common Factor of 576,1109 By Matching Biggest Common Factor Method

Now, list down the factors of 576

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Now, list down the factors of 1109

1,1109

Greatest Common Factor

We found the factors 576,1109 . The biggest common factor number is the GCF number.
So the greatest common factor 576,1109 is 1.

Lets's calculate LCM of 680,332

Lowest Common Multiple of 680,332 using Common Division

2	680, 332
2	340, 166
	170, 83

∴ So the LCM of the given numbers is 2 x 2 x 170 x 83 = 56440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56440

Therefore, the GCF of Fractions 576/680,1109/332 is 1/56440

Least Common Multiple of 680,332 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 680,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,332) = 4

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

GCF(680,332) x common factors =4 x 1 = 4

LCM(680,332) = ( 680 × 332 ) / 4

LCM(680,332) = 225760 / 4

LCM(680,332) = 56440

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FAQs on GCF of Fractions of 576/680, 1109/332

1. What is the HCF of 576,1109?

The HCF of 576,1109 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 576/680, 1109/332?

Answer: GCF of Numerators as per given numbers 576/680, 1109/332 is

GCF of Numerators i.e. for 576,1109 is 1

LCM of denominators i.e. for 680,332 is 56440.

Thus, GCF of Fractions is 1/56440.Finally, GCF of Fractions for 576/680, 1109/332 is 1/56440.