LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 66/895, 3494/1005

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 66/895, 3494/1005 i.e 2/179895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/895, 3494/1005.

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 66/895,3494/1005?

Given fractions are 66/895,3494/1005

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 66/895,3494/1005, numerators are 66,3494

Denominators are 895,1005

The GCF of 66,3494 is 2 .

LCM of 895,1005 is 179895.

The greatest common factor of 66/895,3494/1005 = [GCF of 66,3494]/[LCM of 895,1005]= 2/179895

Therefore, the GCF of 66/895,3494/1005 is 2/179895.

Greatest Common Factor of 66,3494

To find the highest common factor of 66,3494, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 3494 are 1, 2, 1747, 3494

The HCF of 66,3494 is 2.

Lets's calculate GCF of 66,3494

Greatest Common Factor (GCF) of 66,3494 By Common Division

2 66, 3494
33, 1747

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 66,3494 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,3494 By Matching Biggest Common Factor Method

Now, list down the factors of 66

:

1,2,3,6,11,22,33,66

Now, list down the factors of 3494

:

1,2,1747,3494

Greatest Common Factor

We found the factors 66,3494 . The biggest common factor number is the GCF number.
So the greatest common factor 66,3494 is 2.

Lets's calculate LCM of 895,1005

Lowest Common Multiple of 895,1005 using Common Division

5 895, 1005
179, 201

∴ So the LCM of the given numbers is 5 x 179 x 201 = 179895

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/179895

Therefore, the GCF of Fractions 66/895,3494/1005 is 2/179895

Least Common Multiple of 895,1005 with GCF Formula

Least Common Multiple of 895,1005 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 895,1005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(895,1005) = 5

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

GCF(895,1005) x common factors =5 x 1 = 5

LCM(895,1005) = ( 895 × 1005 ) / 5

LCM(895,1005) = 899475 / 5

LCM(895,1005) = 179895


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 66/895, 3494/1005

1. What is the HCF of 66,3494?

The HCF of 66,3494 is 2

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 66/895, 3494/1005?

Answer: GCF of Numerators as per given numbers 66/895, 3494/1005 is

GCF of Numerators i.e. for 66,3494 is 2

LCM of denominators i.e. for 895,1005 is 179895.

Thus, GCF of Fractions is 2/179895.Finally, GCF of Fractions for 66/895, 3494/1005 is 2/179895.