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GCF of 334/23, 510/4188

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 334/23, 510/4188 i.e 2/96324 easily. The following is the detailed procedure to determine the greatest common factor of fractions 334/23, 510/4188.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 334/23,510/4188?

Given fractions are 334/23,510/4188

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 334/23,510/4188, numerators are 334,510

Denominators are 23,4188

The GCF of 334,510 is 2 .

LCM of 23,4188 is 96324.

The greatest common factor of 334/23,510/4188 = [GCF of 334,510]/[LCM of 23,4188]= 2/96324

Therefore, the GCF of 334/23,510/4188 is 2/96324.

Greatest Common Factor of 334,510

To find the highest common factor of 334,510, we have to find the factors of both numbers and list the highest common factor.

The factors of 334 are 1, 2, 167, 334

The factors of 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

The HCF of 334,510 is 2.

Lets's calculate GCF of 334,510

Greatest Common Factor (GCF) of 334,510 By Common Division

2 334, 510
167, 255

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

Greatest Common Factor of 334,510 By Matching Biggest Common Factor Method

Greatest Common Factor of 334,510 By Matching Biggest Common Factor Method

Now, list down the factors of 334

:

1,2,167,334

Now, list down the factors of 510

:

1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510

Greatest Common Factor

We found the factors 334,510 . The biggest common factor number is the GCF number.
So the greatest common factor 334,510 is 2.

Lets's calculate LCM of 23,4188

Lowest Common Multiple of 23,4188 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 96324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/96324

Therefore, the GCF of Fractions 334/23,510/4188 is 2/96324

Least Common Multiple of 23,4188 with GCF Formula

Least Common Multiple of 23,4188 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 23,4188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,4188) = 1

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

GCF(23,4188) x common factors =1 x 1 = 1

LCM(23,4188) = ( 23 × 4188 ) / 1

LCM(23,4188) = 96324 / 1

LCM(23,4188) = 96324


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FAQs on GCF of Fractions of 334/23, 510/4188

1. What is the HCF of 334,510?

The HCF of 334,510 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 334/23, 510/4188?

Answer: GCF of Numerators as per given numbers 334/23, 510/4188 is

GCF of Numerators i.e. for 334,510 is 2

LCM of denominators i.e. for 23,4188 is 96324.

Thus, GCF of Fractions is 2/96324.Finally, GCF of Fractions for 334/23, 510/4188 is 2/96324.