How to Find GCF of 8231/420, 9948/1622?

GCF of 8231/420, 9948/1622

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 8231/420, 9948/1622 i.e 1/340620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8231/420, 9948/1622.

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 8231/420,9948/1622?

Given fractions are 8231/420,9948/1622

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 8231/420,9948/1622, numerators are 8231,9948

Denominators are 420,1622

The GCF of 8231,9948 is 1 .

LCM of 420,1622 is 340620.

The greatest common factor of 8231/420,9948/1622 = [GCF of 8231,9948]/[LCM of 420,1622]= 1/340620

Therefore, the GCF of 8231/420,9948/1622 is 1/340620.

Greatest Common Factor of 8231,9948

To find the highest common factor of 8231,9948, we have to find the factors of both numbers and list the highest common factor.

The factors of 8231 are 1, 8231

The factors of 9948 are 1, 2, 3, 4, 6, 12, 829, 1658, 2487, 3316, 4974, 9948

The HCF of 8231,9948 is 1.

Lets's calculate GCF of 8231,9948

Greatest Common Factor (GCF) of 8231,9948 By Common Division

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

Greatest Common Factor of 8231,9948 By Matching Biggest Common Factor Method

Now, list down the factors of 8231

1,8231

Now, list down the factors of 9948

1,2,3,4,6,12,829,1658,2487,3316,4974,9948

Greatest Common Factor

We found the factors 8231,9948 . The biggest common factor number is the GCF number.
So the greatest common factor 8231,9948 is 1.

Lets's calculate LCM of 420,1622

Lowest Common Multiple of 420,1622 using Common Division

2	420, 1622
	210, 811

∴ So the LCM of the given numbers is 2 x 210 x 811 = 340620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340620

Therefore, the GCF of Fractions 8231/420,9948/1622 is 1/340620

Least Common Multiple of 420,1622 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 420,1622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,1622) = 2

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

GCF(420,1622) x common factors =2 x 1 = 2

LCM(420,1622) = ( 420 × 1622 ) / 2

LCM(420,1622) = 681240 / 2

LCM(420,1622) = 340620

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8231/420, 9948/1622

1. What is the HCF of 8231,9948?

The HCF of 8231,9948 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 8231/420, 9948/1622?

Answer: GCF of Numerators as per given numbers 8231/420, 9948/1622 is

GCF of Numerators i.e. for 8231,9948 is 1

LCM of denominators i.e. for 420,1622 is 340620.

Thus, GCF of Fractions is 1/340620.Finally, GCF of Fractions for 8231/420, 9948/1622 is 1/340620.