How to Find GCF of 1856/150, 1320/6053?

GCF of 1856/150, 1320/6053

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 1856/150, 1320/6053 i.e 8/907950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1856/150, 1320/6053.

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 1856/150,1320/6053?

Given fractions are 1856/150,1320/6053

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 1856/150,1320/6053, numerators are 1856,1320

Denominators are 150,6053

The GCF of 1856,1320 is 8 .

LCM of 150,6053 is 907950.

The greatest common factor of 1856/150,1320/6053 = [GCF of 1856,1320]/[LCM of 150,6053]= 8/907950

Therefore, the GCF of 1856/150,1320/6053 is 8/907950.

Greatest Common Factor of 1856,1320

To find the highest common factor of 1856,1320, we have to find the factors of both numbers and list the highest common factor.

The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856

The factors of 1320 are 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, 1320

The HCF of 1856,1320 is 8.

Lets's calculate GCF of 1856,1320

Greatest Common Factor (GCF) of 1856,1320 By Common Division

2	1856, 1320
2	928, 660
2	464, 330
	232, 165

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1856,1320 By Matching Biggest Common Factor Method

Now, list down the factors of 1856

1,2,4,8,16,29,32,58,64,116,232,464,928,1856

Now, list down the factors of 1320

1,2,3,4,5,6,8,10,11,12,15,20,22,24,30,33,40,44,55,60,66,88,110,120,132,165,220,264,330,440,660,1320

Greatest Common Factor

We found the factors 1856,1320 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,1320 is 8.

Lets's calculate LCM of 150,6053

Lowest Common Multiple of 150,6053 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 907950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/907950

Therefore, the GCF of Fractions 1856/150,1320/6053 is 8/907950

Least Common Multiple of 150,6053 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 150,6053 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(150,6053) = 1

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

GCF(150,6053) x common factors =1 x 1 = 1

LCM(150,6053) = ( 150 × 6053 ) / 1

LCM(150,6053) = 907950 / 1

LCM(150,6053) = 907950

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1856/150, 1320/6053

1. What is the HCF of 1856,1320?

The HCF of 1856,1320 is 8

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 1856/150, 1320/6053?

Answer: GCF of Numerators as per given numbers 1856/150, 1320/6053 is

GCF of Numerators i.e. for 1856,1320 is 8

LCM of denominators i.e. for 150,6053 is 907950.

Thus, GCF of Fractions is 8/907950.Finally, GCF of Fractions for 1856/150, 1320/6053 is 8/907950.