How to Find GCF of 5482/784, 1901/8308?

GCF of 5482/784, 1901/8308

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 5482/784, 1901/8308 i.e 1/1628368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5482/784, 1901/8308.

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 5482/784,1901/8308?

Given fractions are 5482/784,1901/8308

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 5482/784,1901/8308, numerators are 5482,1901

Denominators are 784,8308

The GCF of 5482,1901 is 1 .

LCM of 784,8308 is 1628368.

The greatest common factor of 5482/784,1901/8308 = [GCF of 5482,1901]/[LCM of 784,8308]= 1/1628368

Therefore, the GCF of 5482/784,1901/8308 is 1/1628368.

Greatest Common Factor of 5482,1901

To find the highest common factor of 5482,1901, we have to find the factors of both numbers and list the highest common factor.

The factors of 5482 are 1, 2, 2741, 5482

The factors of 1901 are 1, 1901

The HCF of 5482,1901 is 1.

Lets's calculate GCF of 5482,1901

Greatest Common Factor (GCF) of 5482,1901 By Common Division

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

Greatest Common Factor of 5482,1901 By Matching Biggest Common Factor Method

Now, list down the factors of 5482

1,2,2741,5482

Now, list down the factors of 1901

1,1901

Greatest Common Factor

We found the factors 5482,1901 . The biggest common factor number is the GCF number.
So the greatest common factor 5482,1901 is 1.

Lets's calculate LCM of 784,8308

Lowest Common Multiple of 784,8308 using Common Division

2	784, 8308
2	392, 4154
	196, 2077

∴ So the LCM of the given numbers is 2 x 2 x 196 x 2077 = 1628368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1628368

Therefore, the GCF of Fractions 5482/784,1901/8308 is 1/1628368

Least Common Multiple of 784,8308 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 784,8308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,8308) = 4

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

GCF(784,8308) x common factors =4 x 1 = 4

LCM(784,8308) = ( 784 × 8308 ) / 4

LCM(784,8308) = 6513472 / 4

LCM(784,8308) = 1628368

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5482/784, 1901/8308

1. What is the HCF of 5482,1901?

The HCF of 5482,1901 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 5482/784, 1901/8308?

Answer: GCF of Numerators as per given numbers 5482/784, 1901/8308 is

GCF of Numerators i.e. for 5482,1901 is 1

LCM of denominators i.e. for 784,8308 is 1628368.

Thus, GCF of Fractions is 1/1628368.Finally, GCF of Fractions for 5482/784, 1901/8308 is 1/1628368.