How to Find GCF of 6988/459, 2238/8761?

GCF of 6988/459, 2238/8761

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 6988/459, 2238/8761 i.e 2/4021299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6988/459, 2238/8761.

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 6988/459,2238/8761?

Given fractions are 6988/459,2238/8761

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 6988/459,2238/8761, numerators are 6988,2238

Denominators are 459,8761

The GCF of 6988,2238 is 2 .

LCM of 459,8761 is 4021299.

The greatest common factor of 6988/459,2238/8761 = [GCF of 6988,2238]/[LCM of 459,8761]= 2/4021299

Therefore, the GCF of 6988/459,2238/8761 is 2/4021299.

Greatest Common Factor of 6988,2238

To find the highest common factor of 6988,2238, we have to find the factors of both numbers and list the highest common factor.

The factors of 6988 are 1, 2, 4, 1747, 3494, 6988

The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238

The HCF of 6988,2238 is 2.

Lets's calculate GCF of 6988,2238

Greatest Common Factor (GCF) of 6988,2238 By Common Division

2	6988, 2238
	3494, 1119

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

Greatest Common Factor of 6988,2238 By Matching Biggest Common Factor Method

Now, list down the factors of 6988

1,2,4,1747,3494,6988

Now, list down the factors of 2238

1,2,3,6,373,746,1119,2238

Greatest Common Factor

We found the factors 6988,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 6988,2238 is 2.

Lets's calculate LCM of 459,8761

Lowest Common Multiple of 459,8761 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4021299

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4021299

Therefore, the GCF of Fractions 6988/459,2238/8761 is 2/4021299

Least Common Multiple of 459,8761 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 459,8761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,8761) = 1

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

GCF(459,8761) x common factors =1 x 1 = 1

LCM(459,8761) = ( 459 × 8761 ) / 1

LCM(459,8761) = 4021299 / 1

LCM(459,8761) = 4021299

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6988/459, 2238/8761

1. What is the HCF of 6988,2238?

The HCF of 6988,2238 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 6988/459, 2238/8761?

Answer: GCF of Numerators as per given numbers 6988/459, 2238/8761 is

GCF of Numerators i.e. for 6988,2238 is 2

LCM of denominators i.e. for 459,8761 is 4021299.

Thus, GCF of Fractions is 2/4021299.Finally, GCF of Fractions for 6988/459, 2238/8761 is 2/4021299.