How to Find GCF of 1001/454, 2132/6285?

GCF of 1001/454, 2132/6285

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 1001/454, 2132/6285 i.e 13/2853390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1001/454, 2132/6285.

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 1001/454,2132/6285?

Given fractions are 1001/454,2132/6285

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 1001/454,2132/6285, numerators are 1001,2132

Denominators are 454,6285

The GCF of 1001,2132 is 13 .

LCM of 454,6285 is 2853390.

The greatest common factor of 1001/454,2132/6285 = [GCF of 1001,2132]/[LCM of 454,6285]= 13/2853390

Therefore, the GCF of 1001/454,2132/6285 is 13/2853390.

Greatest Common Factor of 1001,2132

To find the highest common factor of 1001,2132, we have to find the factors of both numbers and list the highest common factor.

The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001

The factors of 2132 are 1, 2, 4, 13, 26, 41, 52, 82, 164, 533, 1066, 2132

The HCF of 1001,2132 is 13.

Lets's calculate GCF of 1001,2132

Greatest Common Factor (GCF) of 1001,2132 By Common Division

13	1001, 2132
	77, 164

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1001,2132 By Matching Biggest Common Factor Method

Now, list down the factors of 1001

1,7,11,13,77,91,143,1001

Now, list down the factors of 2132

1,2,4,13,26,41,52,82,164,533,1066,2132

Greatest Common Factor

We found the factors 1001,2132 . The biggest common factor number is the GCF number.
So the greatest common factor 1001,2132 is 13.

Lets's calculate LCM of 454,6285

Lowest Common Multiple of 454,6285 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2853390

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2853390

Therefore, the GCF of Fractions 1001/454,2132/6285 is 13/2853390

Least Common Multiple of 454,6285 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 454,6285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,6285) = 1

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

GCF(454,6285) x common factors =1 x 1 = 1

LCM(454,6285) = ( 454 × 6285 ) / 1

LCM(454,6285) = 2853390 / 1

LCM(454,6285) = 2853390

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1001/454, 2132/6285

1. What is the HCF of 1001,2132?

The HCF of 1001,2132 is 13

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 1001/454, 2132/6285?

Answer: GCF of Numerators as per given numbers 1001/454, 2132/6285 is

GCF of Numerators i.e. for 1001,2132 is 13

LCM of denominators i.e. for 454,6285 is 2853390.

Thus, GCF of Fractions is 13/2853390.Finally, GCF of Fractions for 1001/454, 2132/6285 is 13/2853390.