How to Find GCF of 3807/398, 9898/102?

GCF of 3807/398, 9898/102

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 3807/398, 9898/102 i.e 1/20298 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3807/398, 9898/102.

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 3807/398,9898/102?

Given fractions are 3807/398,9898/102

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 3807/398,9898/102, numerators are 3807,9898

Denominators are 398,102

The GCF of 3807,9898 is 1 .

LCM of 398,102 is 20298.

The greatest common factor of 3807/398,9898/102 = [GCF of 3807,9898]/[LCM of 398,102]= 1/20298

Therefore, the GCF of 3807/398,9898/102 is 1/20298.

Greatest Common Factor of 3807,9898

To find the highest common factor of 3807,9898, we have to find the factors of both numbers and list the highest common factor.

The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807

The factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

The HCF of 3807,9898 is 1.

Lets's calculate GCF of 3807,9898

Greatest Common Factor (GCF) of 3807,9898 By Common Division

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

Greatest Common Factor of 3807,9898 By Matching Biggest Common Factor Method

Now, list down the factors of 3807

1,3,9,27,47,81,141,423,1269,3807

Now, list down the factors of 9898

1,2,7,14,49,98,101,202,707,1414,4949,9898

Greatest Common Factor

We found the factors 3807,9898 . The biggest common factor number is the GCF number.
So the greatest common factor 3807,9898 is 1.

Lets's calculate LCM of 398,102

Lowest Common Multiple of 398,102 using Common Division

2	398, 102
	199, 51

∴ So the LCM of the given numbers is 2 x 199 x 51 = 20298

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20298

Therefore, the GCF of Fractions 3807/398,9898/102 is 1/20298

Least Common Multiple of 398,102 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 398,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(398,102) = 2

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

GCF(398,102) x common factors =2 x 1 = 2

LCM(398,102) = ( 398 × 102 ) / 2

LCM(398,102) = 40596 / 2

LCM(398,102) = 20298

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FAQs on GCF of Fractions of 3807/398, 9898/102

1. What is the HCF of 3807,9898?

The HCF of 3807,9898 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 3807/398, 9898/102?

Answer: GCF of Numerators as per given numbers 3807/398, 9898/102 is

GCF of Numerators i.e. for 3807,9898 is 1

LCM of denominators i.e. for 398,102 is 20298.

Thus, GCF of Fractions is 1/20298.Finally, GCF of Fractions for 3807/398, 9898/102 is 1/20298.