How to Find GCF of 3986/100, 9919/8494?

GCF of 3986/100, 9919/8494

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 3986/100, 9919/8494 i.e 1/424700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3986/100, 9919/8494.

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 3986/100,9919/8494?

Given fractions are 3986/100,9919/8494

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 3986/100,9919/8494, numerators are 3986,9919

Denominators are 100,8494

The GCF of 3986,9919 is 1 .

LCM of 100,8494 is 424700.

The greatest common factor of 3986/100,9919/8494 = [GCF of 3986,9919]/[LCM of 100,8494]= 1/424700

Therefore, the GCF of 3986/100,9919/8494 is 1/424700.

Greatest Common Factor of 3986,9919

To find the highest common factor of 3986,9919, we have to find the factors of both numbers and list the highest common factor.

The factors of 3986 are 1, 2, 1993, 3986

The factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919

The HCF of 3986,9919 is 1.

Lets's calculate GCF of 3986,9919

Greatest Common Factor (GCF) of 3986,9919 By Common Division

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

Greatest Common Factor of 3986,9919 By Matching Biggest Common Factor Method

Now, list down the factors of 3986

1,2,1993,3986

Now, list down the factors of 9919

1,7,13,91,109,763,1417,9919

Greatest Common Factor

We found the factors 3986,9919 . The biggest common factor number is the GCF number.
So the greatest common factor 3986,9919 is 1.

Lets's calculate LCM of 100,8494

Lowest Common Multiple of 100,8494 using Common Division

2	100, 8494
	50, 4247

∴ So the LCM of the given numbers is 2 x 50 x 4247 = 424700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/424700

Therefore, the GCF of Fractions 3986/100,9919/8494 is 1/424700

Least Common Multiple of 100,8494 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 100,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,8494) = 2

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

GCF(100,8494) x common factors =2 x 1 = 2

LCM(100,8494) = ( 100 × 8494 ) / 2

LCM(100,8494) = 849400 / 2

LCM(100,8494) = 424700

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FAQs on GCF of Fractions of 3986/100, 9919/8494

1. What is the HCF of 3986,9919?

The HCF of 3986,9919 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 3986/100, 9919/8494?

Answer: GCF of Numerators as per given numbers 3986/100, 9919/8494 is

GCF of Numerators i.e. for 3986,9919 is 1

LCM of denominators i.e. for 100,8494 is 424700.

Thus, GCF of Fractions is 1/424700.Finally, GCF of Fractions for 3986/100, 9919/8494 is 1/424700.