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GCF of 3372/411, 9531/840

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 3372/411, 9531/840 i.e 3/115080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3372/411, 9531/840.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 3372/411,9531/840?

Given fractions are 3372/411,9531/840

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 3372/411,9531/840, numerators are 3372,9531

Denominators are 411,840

The GCF of 3372,9531 is 3 .

LCM of 411,840 is 115080.

The greatest common factor of 3372/411,9531/840 = [GCF of 3372,9531]/[LCM of 411,840]= 3/115080

Therefore, the GCF of 3372/411,9531/840 is 3/115080.

Greatest Common Factor of 3372,9531

To find the highest common factor of 3372,9531, we have to find the factors of both numbers and list the highest common factor.

The factors of 3372 are 1, 2, 3, 4, 6, 12, 281, 562, 843, 1124, 1686, 3372

The factors of 9531 are 1, 3, 9, 27, 353, 1059, 3177, 9531

The HCF of 3372,9531 is 3.

Lets's calculate GCF of 3372,9531

Greatest Common Factor (GCF) of 3372,9531 By Common Division

3 3372, 9531
1124, 3177

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 3372,9531 By Matching Biggest Common Factor Method

Greatest Common Factor of 3372,9531 By Matching Biggest Common Factor Method

Now, list down the factors of 3372

:

1,2,3,4,6,12,281,562,843,1124,1686,3372

Now, list down the factors of 9531

:

1,3,9,27,353,1059,3177,9531

Greatest Common Factor

We found the factors 3372,9531 . The biggest common factor number is the GCF number.
So the greatest common factor 3372,9531 is 3.


Lets's calculate LCM of 411,840

Lowest Common Multiple of 411,840 using Common Division

3 411, 840
137, 280

∴ So the LCM of the given numbers is 3 x 137 x 280 = 115080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/115080

Therefore, the GCF of Fractions 3372/411,9531/840 is 3/115080

Least Common Multiple of 411,840 with GCF Formula

Least Common Multiple of 411,840 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 411,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,840) = 3

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

GCF(411,840) x common factors =3 x 1 = 3

LCM(411,840) = ( 411 × 840 ) / 3

LCM(411,840) = 345240 / 3

LCM(411,840) = 115080


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 3372/411, 9531/840

1. What is the HCF of 3372,9531?

The HCF of 3372,9531 is 3

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 3372/411, 9531/840?

Answer: GCF of Numerators as per given numbers 3372/411, 9531/840 is

GCF of Numerators i.e. for 3372,9531 is 3

LCM of denominators i.e. for 411,840 is 115080.

Thus, GCF of Fractions is 3/115080.Finally, GCF of Fractions for 3372/411, 9531/840 is 3/115080.