How to Find GCF of 3231/457, 8152/1448?

GCF of 3231/457, 8152/1448

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 3231/457, 8152/1448 i.e 1/661736 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3231/457, 8152/1448.

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 3231/457,8152/1448?

Given fractions are 3231/457,8152/1448

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 3231/457,8152/1448, numerators are 3231,8152

Denominators are 457,1448

The GCF of 3231,8152 is 1 .

LCM of 457,1448 is 661736.

The greatest common factor of 3231/457,8152/1448 = [GCF of 3231,8152]/[LCM of 457,1448]= 1/661736

Therefore, the GCF of 3231/457,8152/1448 is 1/661736.

Greatest Common Factor of 3231,8152

To find the highest common factor of 3231,8152, we have to find the factors of both numbers and list the highest common factor.

The factors of 3231 are 1, 3, 9, 359, 1077, 3231

The factors of 8152 are 1, 2, 4, 8, 1019, 2038, 4076, 8152

The HCF of 3231,8152 is 1.

Lets's calculate GCF of 3231,8152

Greatest Common Factor (GCF) of 3231,8152 By Common Division

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

Greatest Common Factor of 3231,8152 By Matching Biggest Common Factor Method

Now, list down the factors of 3231

1,3,9,359,1077,3231

Now, list down the factors of 8152

1,2,4,8,1019,2038,4076,8152

Greatest Common Factor

We found the factors 3231,8152 . The biggest common factor number is the GCF number.
So the greatest common factor 3231,8152 is 1.

Lets's calculate LCM of 457,1448

Lowest Common Multiple of 457,1448 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 661736

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/661736

Therefore, the GCF of Fractions 3231/457,8152/1448 is 1/661736

Least Common Multiple of 457,1448 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 457,1448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(457,1448) = 1

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

GCF(457,1448) x common factors =1 x 1 = 1

LCM(457,1448) = ( 457 × 1448 ) / 1

LCM(457,1448) = 661736 / 1

LCM(457,1448) = 661736

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FAQs on GCF of Fractions of 3231/457, 8152/1448

1. What is the HCF of 3231,8152?

The HCF of 3231,8152 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 3231/457, 8152/1448?

Answer: GCF of Numerators as per given numbers 3231/457, 8152/1448 is

GCF of Numerators i.e. for 3231,8152 is 1

LCM of denominators i.e. for 457,1448 is 661736.

Thus, GCF of Fractions is 1/661736.Finally, GCF of Fractions for 3231/457, 8152/1448 is 1/661736.