How to Find GCF of 66/275, 5346/4787?

GCF of 66/275, 5346/4787

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 66/275, 5346/4787 i.e 66/1316425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/275, 5346/4787.

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 66/275,5346/4787?

Given fractions are 66/275,5346/4787

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 66/275,5346/4787, numerators are 66,5346

Denominators are 275,4787

The GCF of 66,5346 is 66 .

LCM of 275,4787 is 1316425.

The greatest common factor of 66/275,5346/4787 = [GCF of 66,5346]/[LCM of 275,4787]= 66/1316425

Therefore, the GCF of 66/275,5346/4787 is 66/1316425.

Greatest Common Factor of 66,5346

To find the highest common factor of 66,5346, 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 5346 are 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 81, 99, 162, 198, 243, 297, 486, 594, 891, 1782, 2673, 5346

The HCF of 66,5346 is 66.

Lets's calculate GCF of 66,5346

Greatest Common Factor (GCF) of 66,5346 By Common Division

2	66, 5346
3	33, 2673
11	11, 891
	1, 81

∴ So the GCF of the given numbers is 2 x 3 x 11 = 66

Greatest Common Factor of 66,5346 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 5346

1,2,3,6,9,11,18,22,27,33,54,66,81,99,162,198,243,297,486,594,891,1782,2673,5346

Greatest Common Factor

We found the factors 66,5346 . The biggest common factor number is the GCF number.
So the greatest common factor 66,5346 is 66.

Lets's calculate LCM of 275,4787

Lowest Common Multiple of 275,4787 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1316425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 66/1316425

Therefore, the GCF of Fractions 66/275,5346/4787 is 66/1316425

Least Common Multiple of 275,4787 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 275,4787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(275,4787) = 1

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

GCF(275,4787) x common factors =1 x 1 = 1

LCM(275,4787) = ( 275 × 4787 ) / 1

LCM(275,4787) = 1316425 / 1

LCM(275,4787) = 1316425

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 66/275, 5346/4787

1. What is the HCF of 66,5346?

The HCF of 66,5346 is 66

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 66/275, 5346/4787?

Answer: GCF of Numerators as per given numbers 66/275, 5346/4787 is

GCF of Numerators i.e. for 66,5346 is 66

LCM of denominators i.e. for 275,4787 is 1316425.

Thus, GCF of Fractions is 66/1316425.Finally, GCF of Fractions for 66/275, 5346/4787 is 66/1316425.