How to Find GCF of 1814/942, 8428/2891?

GCF of 1814/942, 8428/2891

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 1814/942, 8428/2891 i.e 2/2723322 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1814/942, 8428/2891.

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 1814/942,8428/2891?

Given fractions are 1814/942,8428/2891

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 1814/942,8428/2891, numerators are 1814,8428

Denominators are 942,2891

The GCF of 1814,8428 is 2 .

LCM of 942,2891 is 2723322.

The greatest common factor of 1814/942,8428/2891 = [GCF of 1814,8428]/[LCM of 942,2891]= 2/2723322

Therefore, the GCF of 1814/942,8428/2891 is 2/2723322.

Greatest Common Factor of 1814,8428

To find the highest common factor of 1814,8428, we have to find the factors of both numbers and list the highest common factor.

The factors of 1814 are 1, 2, 907, 1814

The factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428

The HCF of 1814,8428 is 2.

Lets's calculate GCF of 1814,8428

Greatest Common Factor (GCF) of 1814,8428 By Common Division

2	1814, 8428
	907, 4214

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

Greatest Common Factor of 1814,8428 By Matching Biggest Common Factor Method

Now, list down the factors of 1814

1,2,907,1814

Now, list down the factors of 8428

1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428

Greatest Common Factor

We found the factors 1814,8428 . The biggest common factor number is the GCF number.
So the greatest common factor 1814,8428 is 2.

Lets's calculate LCM of 942,2891

Lowest Common Multiple of 942,2891 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2723322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2723322

Therefore, the GCF of Fractions 1814/942,8428/2891 is 2/2723322

Least Common Multiple of 942,2891 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 942,2891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,2891) = 1

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

GCF(942,2891) x common factors =1 x 1 = 1

LCM(942,2891) = ( 942 × 2891 ) / 1

LCM(942,2891) = 2723322 / 1

LCM(942,2891) = 2723322

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1814/942, 8428/2891

1. What is the HCF of 1814,8428?

The HCF of 1814,8428 is 2

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 1814/942, 8428/2891?

Answer: GCF of Numerators as per given numbers 1814/942, 8428/2891 is

GCF of Numerators i.e. for 1814,8428 is 2

LCM of denominators i.e. for 942,2891 is 2723322.

Thus, GCF of Fractions is 2/2723322.Finally, GCF of Fractions for 1814/942, 8428/2891 is 2/2723322.