How to Find GCF of 1001/895, 3446/3984?

GCF of 1001/895, 3446/3984

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 1001/895, 3446/3984 i.e 1/3565680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1001/895, 3446/3984.

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 1001/895,3446/3984?

Given fractions are 1001/895,3446/3984

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 1001/895,3446/3984, numerators are 1001,3446

Denominators are 895,3984

The GCF of 1001,3446 is 1 .

LCM of 895,3984 is 3565680.

The greatest common factor of 1001/895,3446/3984 = [GCF of 1001,3446]/[LCM of 895,3984]= 1/3565680

Therefore, the GCF of 1001/895,3446/3984 is 1/3565680.

Greatest Common Factor of 1001,3446

To find the highest common factor of 1001,3446, 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 3446 are 1, 2, 1723, 3446

The HCF of 1001,3446 is 1.

Lets's calculate GCF of 1001,3446

Greatest Common Factor (GCF) of 1001,3446 By Common Division

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

Greatest Common Factor of 1001,3446 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 3446

1,2,1723,3446

Greatest Common Factor

We found the factors 1001,3446 . The biggest common factor number is the GCF number.
So the greatest common factor 1001,3446 is 1.

Lets's calculate LCM of 895,3984

Lowest Common Multiple of 895,3984 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3565680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3565680

Therefore, the GCF of Fractions 1001/895,3446/3984 is 1/3565680

Least Common Multiple of 895,3984 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 895,3984 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,3984) = 1

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

GCF(895,3984) x common factors =1 x 1 = 1

LCM(895,3984) = ( 895 × 3984 ) / 1

LCM(895,3984) = 3565680 / 1

LCM(895,3984) = 3565680

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FAQs on GCF of Fractions of 1001/895, 3446/3984

1. What is the HCF of 1001,3446?

The HCF of 1001,3446 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 1001/895, 3446/3984?

Answer: GCF of Numerators as per given numbers 1001/895, 3446/3984 is

GCF of Numerators i.e. for 1001,3446 is 1

LCM of denominators i.e. for 895,3984 is 3565680.

Thus, GCF of Fractions is 1/3565680.Finally, GCF of Fractions for 1001/895, 3446/3984 is 1/3565680.