How to Find GCF of 1812/856, 1144/9592?

GCF of 1812/856, 1144/9592

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 1812/856, 1144/9592 i.e 4/1026344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1812/856, 1144/9592.

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 1812/856,1144/9592?

Given fractions are 1812/856,1144/9592

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 1812/856,1144/9592, numerators are 1812,1144

Denominators are 856,9592

The GCF of 1812,1144 is 4 .

LCM of 856,9592 is 1026344.

The greatest common factor of 1812/856,1144/9592 = [GCF of 1812,1144]/[LCM of 856,9592]= 4/1026344

Therefore, the GCF of 1812/856,1144/9592 is 4/1026344.

Greatest Common Factor of 1812,1144

To find the highest common factor of 1812,1144, we have to find the factors of both numbers and list the highest common factor.

The factors of 1812 are 1, 2, 3, 4, 6, 12, 151, 302, 453, 604, 906, 1812

The factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144

The HCF of 1812,1144 is 4.

Lets's calculate GCF of 1812,1144

Greatest Common Factor (GCF) of 1812,1144 By Common Division

2	1812, 1144
2	906, 572
	453, 286

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

Greatest Common Factor of 1812,1144 By Matching Biggest Common Factor Method

Now, list down the factors of 1812

1,2,3,4,6,12,151,302,453,604,906,1812

Now, list down the factors of 1144

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

Greatest Common Factor

We found the factors 1812,1144 . The biggest common factor number is the GCF number.
So the greatest common factor 1812,1144 is 4.

Lets's calculate LCM of 856,9592

Lowest Common Multiple of 856,9592 using Common Division

2	856, 9592
2	428, 4796
2	214, 2398
	107, 1199

∴ So the LCM of the given numbers is 2 x 2 x 2 x 107 x 1199 = 1026344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1026344

Therefore, the GCF of Fractions 1812/856,1144/9592 is 4/1026344

Least Common Multiple of 856,9592 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 856,9592 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,9592) = 8

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

GCF(856,9592) x common factors =8 x 1 = 8

LCM(856,9592) = ( 856 × 9592 ) / 8

LCM(856,9592) = 8210752 / 8

LCM(856,9592) = 1026344

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FAQs on GCF of Fractions of 1812/856, 1144/9592

1. What is the HCF of 1812,1144?

The HCF of 1812,1144 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 1812/856, 1144/9592?

Answer: GCF of Numerators as per given numbers 1812/856, 1144/9592 is

GCF of Numerators i.e. for 1812,1144 is 4

LCM of denominators i.e. for 856,9592 is 1026344.

Thus, GCF of Fractions is 4/1026344.Finally, GCF of Fractions for 1812/856, 1144/9592 is 4/1026344.