How to Find GCF of 1441/532, 3523/8216?

GCF of 1441/532, 3523/8216

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 1441/532, 3523/8216 i.e 1/1092728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1441/532, 3523/8216.

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 1441/532,3523/8216?

Given fractions are 1441/532,3523/8216

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 1441/532,3523/8216, numerators are 1441,3523

Denominators are 532,8216

The GCF of 1441,3523 is 1 .

LCM of 532,8216 is 1092728.

The greatest common factor of 1441/532,3523/8216 = [GCF of 1441,3523]/[LCM of 532,8216]= 1/1092728

Therefore, the GCF of 1441/532,3523/8216 is 1/1092728.

Greatest Common Factor of 1441,3523

To find the highest common factor of 1441,3523, we have to find the factors of both numbers and list the highest common factor.

The factors of 1441 are 1, 11, 131, 1441

The factors of 3523 are 1, 13, 271, 3523

The HCF of 1441,3523 is 1.

Lets's calculate GCF of 1441,3523

Greatest Common Factor (GCF) of 1441,3523 By Common Division

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

Greatest Common Factor of 1441,3523 By Matching Biggest Common Factor Method

Now, list down the factors of 1441

1,11,131,1441

Now, list down the factors of 3523

1,13,271,3523

Greatest Common Factor

We found the factors 1441,3523 . The biggest common factor number is the GCF number.
So the greatest common factor 1441,3523 is 1.

Lets's calculate LCM of 532,8216

Lowest Common Multiple of 532,8216 using Common Division

2	532, 8216
2	266, 4108
	133, 2054

∴ So the LCM of the given numbers is 2 x 2 x 133 x 2054 = 1092728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092728

Therefore, the GCF of Fractions 1441/532,3523/8216 is 1/1092728

Least Common Multiple of 532,8216 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 532,8216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,8216) = 4

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

GCF(532,8216) x common factors =4 x 1 = 4

LCM(532,8216) = ( 532 × 8216 ) / 4

LCM(532,8216) = 4370912 / 4

LCM(532,8216) = 1092728

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FAQs on GCF of Fractions of 1441/532, 3523/8216

1. What is the HCF of 1441,3523?

The HCF of 1441,3523 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 1441/532, 3523/8216?

Answer: GCF of Numerators as per given numbers 1441/532, 3523/8216 is

GCF of Numerators i.e. for 1441,3523 is 1

LCM of denominators i.e. for 532,8216 is 1092728.

Thus, GCF of Fractions is 1/1092728.Finally, GCF of Fractions for 1441/532, 3523/8216 is 1/1092728.