How to Find GCF of 3825/237, 6247/9851?

GCF of 3825/237, 6247/9851

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 3825/237, 6247/9851 i.e 1/2334687 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3825/237, 6247/9851.

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 3825/237,6247/9851?

Given fractions are 3825/237,6247/9851

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 3825/237,6247/9851, numerators are 3825,6247

Denominators are 237,9851

The GCF of 3825,6247 is 1 .

LCM of 237,9851 is 2334687.

The greatest common factor of 3825/237,6247/9851 = [GCF of 3825,6247]/[LCM of 237,9851]= 1/2334687

Therefore, the GCF of 3825/237,6247/9851 is 1/2334687.

Greatest Common Factor of 3825,6247

To find the highest common factor of 3825,6247, we have to find the factors of both numbers and list the highest common factor.

The factors of 3825 are 1, 3, 5, 9, 15, 17, 25, 45, 51, 75, 85, 153, 225, 255, 425, 765, 1275, 3825

The factors of 6247 are 1, 6247

The HCF of 3825,6247 is 1.

Lets's calculate GCF of 3825,6247

Greatest Common Factor (GCF) of 3825,6247 By Common Division

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

Greatest Common Factor of 3825,6247 By Matching Biggest Common Factor Method

Now, list down the factors of 3825

1,3,5,9,15,17,25,45,51,75,85,153,225,255,425,765,1275,3825

Now, list down the factors of 6247

1,6247

Greatest Common Factor

We found the factors 3825,6247 . The biggest common factor number is the GCF number.
So the greatest common factor 3825,6247 is 1.

Lets's calculate LCM of 237,9851

Lowest Common Multiple of 237,9851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2334687

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2334687

Therefore, the GCF of Fractions 3825/237,6247/9851 is 1/2334687

Least Common Multiple of 237,9851 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 237,9851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,9851) = 1

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

GCF(237,9851) x common factors =1 x 1 = 1

LCM(237,9851) = ( 237 × 9851 ) / 1

LCM(237,9851) = 2334687 / 1

LCM(237,9851) = 2334687

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FAQs on GCF of Fractions of 3825/237, 6247/9851

1. What is the HCF of 3825,6247?

The HCF of 3825,6247 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 3825/237, 6247/9851?

Answer: GCF of Numerators as per given numbers 3825/237, 6247/9851 is

GCF of Numerators i.e. for 3825,6247 is 1

LCM of denominators i.e. for 237,9851 is 2334687.

Thus, GCF of Fractions is 1/2334687.Finally, GCF of Fractions for 3825/237, 6247/9851 is 1/2334687.