How to Find GCF of 3619/984, 7901/8238?

GCF of 3619/984, 7901/8238

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 3619/984, 7901/8238 i.e 1/1351032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3619/984, 7901/8238.

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 3619/984,7901/8238?

Given fractions are 3619/984,7901/8238

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 3619/984,7901/8238, numerators are 3619,7901

Denominators are 984,8238

The GCF of 3619,7901 is 1 .

LCM of 984,8238 is 1351032.

The greatest common factor of 3619/984,7901/8238 = [GCF of 3619,7901]/[LCM of 984,8238]= 1/1351032

Therefore, the GCF of 3619/984,7901/8238 is 1/1351032.

Greatest Common Factor of 3619,7901

To find the highest common factor of 3619,7901, we have to find the factors of both numbers and list the highest common factor.

The factors of 3619 are 1, 7, 11, 47, 77, 329, 517, 3619

The factors of 7901 are 1, 7901

The HCF of 3619,7901 is 1.

Lets's calculate GCF of 3619,7901

Greatest Common Factor (GCF) of 3619,7901 By Common Division

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

Greatest Common Factor of 3619,7901 By Matching Biggest Common Factor Method

Now, list down the factors of 3619

1,7,11,47,77,329,517,3619

Now, list down the factors of 7901

1,7901

Greatest Common Factor

We found the factors 3619,7901 . The biggest common factor number is the GCF number.
So the greatest common factor 3619,7901 is 1.

Lets's calculate LCM of 984,8238

Lowest Common Multiple of 984,8238 using Common Division

2	984, 8238
3	492, 4119
	164, 1373

∴ So the LCM of the given numbers is 2 x 3 x 164 x 1373 = 1351032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1351032

Therefore, the GCF of Fractions 3619/984,7901/8238 is 1/1351032

Least Common Multiple of 984,8238 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 984,8238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(984,8238) = 6

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

GCF(984,8238) x common factors =6 x 1 = 6

LCM(984,8238) = ( 984 × 8238 ) / 6

LCM(984,8238) = 8106192 / 6

LCM(984,8238) = 1351032

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FAQs on GCF of Fractions of 3619/984, 7901/8238

1. What is the HCF of 3619,7901?

The HCF of 3619,7901 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 3619/984, 7901/8238?

Answer: GCF of Numerators as per given numbers 3619/984, 7901/8238 is

GCF of Numerators i.e. for 3619,7901 is 1

LCM of denominators i.e. for 984,8238 is 1351032.

Thus, GCF of Fractions is 1/1351032.Finally, GCF of Fractions for 3619/984, 7901/8238 is 1/1351032.