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GCF of 1/66, 510/99, 522/14

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 1/66, 510/99, 522/14 i.e 1/1386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1/66, 510/99, 522/14.

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 1/66,510/99,522/14?

Given fractions are 1/66,510/99,522/14

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 1/66,510/99,522/14, numerators are 1,510,522

Denominators are 66,99,14

The GCF of 1,510,522 is 1 .

LCM of 66,99,14 is 1386.

The greatest common factor of 1/66,510/99,522/14 = [GCF of 1,510,522]/[LCM of 66,99,14]= 1/1386

Therefore, the GCF of 1/66,510/99,522/14 is 1/1386.

Greatest Common Factor of 1,510,522

To find the highest common factor of 1,510,522, we have to find the factors of both numbers and list the highest common factor.

The factors of 1 are 1

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The factors of 522 are 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

The HCF of 1,510,522 is 1.

Lets's calculate GCF of 1,510,522

Greatest Common Factor (GCF) of 1,510,522 By Common Division

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

Greatest Common Factor of 1,510,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,510,522 By Matching Biggest Common Factor Method

Now, list down the factors of 1

:

1

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Now, list down the factors of 522

:

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 1,510,522 . The biggest common factor number is the GCF number.
So the greatest common factor 1,510,522 is 1.


Lets's calculate LCM of 66,99,14

Lowest Common Multiple of 66,99,14 using Common Division

2 66, 99, 14
3 33, 99, 7
11 11, 33, 7
1, 3, 7

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 3 x 7 = 1386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386

Therefore, the GCF of Fractions 1/66,510/99,522/14 is 1/1386

Least Common Multiple of 66,99,14 with GCF Formula

Least Common Multiple of 66,99,14 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 66,99,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,99,14) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(66,99,14) x common factors =1 x 66 = 66

LCM(66,99,14) = ( 66 × 99 × 14 ) / 66

LCM(66,99,14) = 91476 / 66

LCM(66,99,14) = 1386


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 1/66, 510/99, 522/14

1. What is the HCF of 1,510,522?

The HCF of 1,510,522 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 1/66, 510/99, 522/14?

Answer: GCF of Numerators as per given numbers 1/66, 510/99, 522/14 is

GCF of Numerators i.e. for 1,510,522 is 1

LCM of denominators i.e. for 66,99,14 is 1386.

Thus, GCF of Fractions is 1/1386.Finally, GCF of Fractions for 1/66, 510/99, 522/14 is 1/1386.