How to Find GCF of 8840/784, 3033/6928?

GCF of 8840/784, 3033/6928

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 8840/784, 3033/6928 i.e 1/339472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8840/784, 3033/6928.

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 8840/784,3033/6928?

Given fractions are 8840/784,3033/6928

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 8840/784,3033/6928, numerators are 8840,3033

Denominators are 784,6928

The GCF of 8840,3033 is 1 .

LCM of 784,6928 is 339472.

The greatest common factor of 8840/784,3033/6928 = [GCF of 8840,3033]/[LCM of 784,6928]= 1/339472

Therefore, the GCF of 8840/784,3033/6928 is 1/339472.

Greatest Common Factor of 8840,3033

To find the highest common factor of 8840,3033, we have to find the factors of both numbers and list the highest common factor.

The factors of 8840 are 1, 2, 4, 5, 8, 10, 13, 17, 20, 26, 34, 40, 52, 65, 68, 85, 104, 130, 136, 170, 221, 260, 340, 442, 520, 680, 884, 1105, 1768, 2210, 4420, 8840

The factors of 3033 are 1, 3, 9, 337, 1011, 3033

The HCF of 8840,3033 is 1.

Lets's calculate GCF of 8840,3033

Greatest Common Factor (GCF) of 8840,3033 By Common Division

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

Greatest Common Factor of 8840,3033 By Matching Biggest Common Factor Method

Now, list down the factors of 8840

1,2,4,5,8,10,13,17,20,26,34,40,52,65,68,85,104,130,136,170,221,260,340,442,520,680,884,1105,1768,2210,4420,8840

Now, list down the factors of 3033

1,3,9,337,1011,3033

Greatest Common Factor

We found the factors 8840,3033 . The biggest common factor number is the GCF number.
So the greatest common factor 8840,3033 is 1.

Lets's calculate LCM of 784,6928

Lowest Common Multiple of 784,6928 using Common Division

2	784, 6928
2	392, 3464
2	196, 1732
2	98, 866
	49, 433

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 49 x 433 = 339472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339472

Therefore, the GCF of Fractions 8840/784,3033/6928 is 1/339472

Least Common Multiple of 784,6928 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 784,6928 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,6928) = 16

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

GCF(784,6928) x common factors =16 x 1 = 16

LCM(784,6928) = ( 784 × 6928 ) / 16

LCM(784,6928) = 5431552 / 16

LCM(784,6928) = 339472

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8840/784, 3033/6928

1. What is the HCF of 8840,3033?

The HCF of 8840,3033 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 8840/784, 3033/6928?

Answer: GCF of Numerators as per given numbers 8840/784, 3033/6928 is

GCF of Numerators i.e. for 8840,3033 is 1

LCM of denominators i.e. for 784,6928 is 339472.

Thus, GCF of Fractions is 1/339472.Finally, GCF of Fractions for 8840/784, 3033/6928 is 1/339472.