How to Find GCF of 5852/510, 1648/168?

GCF of 5852/510, 1648/168

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 5852/510, 1648/168 i.e 4/14280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5852/510, 1648/168.

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 5852/510,1648/168?

Given fractions are 5852/510,1648/168

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 5852/510,1648/168, numerators are 5852,1648

Denominators are 510,168

The GCF of 5852,1648 is 4 .

LCM of 510,168 is 14280.

The greatest common factor of 5852/510,1648/168 = [GCF of 5852,1648]/[LCM of 510,168]= 4/14280

Therefore, the GCF of 5852/510,1648/168 is 4/14280.

Greatest Common Factor of 5852,1648

To find the highest common factor of 5852,1648, we have to find the factors of both numbers and list the highest common factor.

The factors of 5852 are 1, 2, 4, 7, 11, 14, 19, 22, 28, 38, 44, 76, 77, 133, 154, 209, 266, 308, 418, 532, 836, 1463, 2926, 5852

The factors of 1648 are 1, 2, 4, 8, 16, 103, 206, 412, 824, 1648

The HCF of 5852,1648 is 4.

Lets's calculate GCF of 5852,1648

Greatest Common Factor (GCF) of 5852,1648 By Common Division

2	5852, 1648
2	2926, 824
	1463, 412

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5852,1648 By Matching Biggest Common Factor Method

Now, list down the factors of 5852

1,2,4,7,11,14,19,22,28,38,44,76,77,133,154,209,266,308,418,532,836,1463,2926,5852

Now, list down the factors of 1648

1,2,4,8,16,103,206,412,824,1648

Greatest Common Factor

We found the factors 5852,1648 . The biggest common factor number is the GCF number.
So the greatest common factor 5852,1648 is 4.

Lets's calculate LCM of 510,168

Lowest Common Multiple of 510,168 using Common Division

2	510, 168
3	255, 84
	85, 28

∴ So the LCM of the given numbers is 2 x 3 x 85 x 28 = 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14280

Therefore, the GCF of Fractions 5852/510,1648/168 is 4/14280

Least Common Multiple of 510,168 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 510,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,168) = 6

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

GCF(510,168) x common factors =6 x 1 = 6

LCM(510,168) = ( 510 × 168 ) / 6

LCM(510,168) = 85680 / 6

LCM(510,168) = 14280

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5852/510, 1648/168

1. What is the HCF of 5852,1648?

The HCF of 5852,1648 is 4

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 5852/510, 1648/168?

Answer: GCF of Numerators as per given numbers 5852/510, 1648/168 is

GCF of Numerators i.e. for 5852,1648 is 4

LCM of denominators i.e. for 510,168 is 14280.

Thus, GCF of Fractions is 4/14280.Finally, GCF of Fractions for 5852/510, 1648/168 is 4/14280.