How to Find GCF of 2168/918, 4168/1217?

GCF of 2168/918, 4168/1217

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 2168/918, 4168/1217 i.e 8/1117206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2168/918, 4168/1217.

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 2168/918,4168/1217?

Given fractions are 2168/918,4168/1217

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 2168/918,4168/1217, numerators are 2168,4168

Denominators are 918,1217

The GCF of 2168,4168 is 8 .

LCM of 918,1217 is 1117206.

The greatest common factor of 2168/918,4168/1217 = [GCF of 2168,4168]/[LCM of 918,1217]= 8/1117206

Therefore, the GCF of 2168/918,4168/1217 is 8/1117206.

Greatest Common Factor of 2168,4168

To find the highest common factor of 2168,4168, we have to find the factors of both numbers and list the highest common factor.

The factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168

The factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168

The HCF of 2168,4168 is 8.

Lets's calculate GCF of 2168,4168

Greatest Common Factor (GCF) of 2168,4168 By Common Division

2	2168, 4168
2	1084, 2084
2	542, 1042
	271, 521

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

Greatest Common Factor of 2168,4168 By Matching Biggest Common Factor Method

Now, list down the factors of 2168

1,2,4,8,271,542,1084,2168

Now, list down the factors of 4168

1,2,4,8,521,1042,2084,4168

Greatest Common Factor

We found the factors 2168,4168 . The biggest common factor number is the GCF number.
So the greatest common factor 2168,4168 is 8.

Lets's calculate LCM of 918,1217

Lowest Common Multiple of 918,1217 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1117206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1117206

Therefore, the GCF of Fractions 2168/918,4168/1217 is 8/1117206

Least Common Multiple of 918,1217 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 918,1217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(918,1217) = 1

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

GCF(918,1217) x common factors =1 x 1 = 1

LCM(918,1217) = ( 918 × 1217 ) / 1

LCM(918,1217) = 1117206 / 1

LCM(918,1217) = 1117206

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2168/918, 4168/1217

1. What is the HCF of 2168,4168?

The HCF of 2168,4168 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 2168/918, 4168/1217?

Answer: GCF of Numerators as per given numbers 2168/918, 4168/1217 is

GCF of Numerators i.e. for 2168,4168 is 8

LCM of denominators i.e. for 918,1217 is 1117206.

Thus, GCF of Fractions is 8/1117206.Finally, GCF of Fractions for 2168/918, 4168/1217 is 8/1117206.