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GCF of 6024/510, 9362/3706

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 6024/510, 9362/3706 i.e 2/55590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6024/510, 9362/3706.

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 6024/510,9362/3706?

Given fractions are 6024/510,9362/3706

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 6024/510,9362/3706, numerators are 6024,9362

Denominators are 510,3706

The GCF of 6024,9362 is 2 .

LCM of 510,3706 is 55590.

The greatest common factor of 6024/510,9362/3706 = [GCF of 6024,9362]/[LCM of 510,3706]= 2/55590

Therefore, the GCF of 6024/510,9362/3706 is 2/55590.

Greatest Common Factor of 6024,9362

To find the highest common factor of 6024,9362, we have to find the factors of both numbers and list the highest common factor.

The factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024

The factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362

The HCF of 6024,9362 is 2.

Lets's calculate GCF of 6024,9362

Greatest Common Factor (GCF) of 6024,9362 By Common Division

2 6024, 9362
3012, 4681

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

Greatest Common Factor of 6024,9362 By Matching Biggest Common Factor Method

Greatest Common Factor of 6024,9362 By Matching Biggest Common Factor Method

Now, list down the factors of 6024

:

1,2,3,4,6,8,12,24,251,502,753,1004,1506,2008,3012,6024

Now, list down the factors of 9362

:

1,2,31,62,151,302,4681,9362

Greatest Common Factor

We found the factors 6024,9362 . The biggest common factor number is the GCF number.
So the greatest common factor 6024,9362 is 2.


Lets's calculate LCM of 510,3706

Lowest Common Multiple of 510,3706 using Common Division

2 510, 3706
17 255, 1853
15, 109

∴ So the LCM of the given numbers is 2 x 17 x 15 x 109 = 55590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/55590

Therefore, the GCF of Fractions 6024/510,9362/3706 is 2/55590

Least Common Multiple of 510,3706 with GCF Formula

Least Common Multiple of 510,3706 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 510,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,3706) = 34

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

GCF(510,3706) x common factors =34 x 1 = 34

LCM(510,3706) = ( 510 × 3706 ) / 34

LCM(510,3706) = 1890060 / 34

LCM(510,3706) = 55590


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6024/510, 9362/3706

1. What is the HCF of 6024,9362?

The HCF of 6024,9362 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 6024/510, 9362/3706?

Answer: GCF of Numerators as per given numbers 6024/510, 9362/3706 is

GCF of Numerators i.e. for 6024,9362 is 2

LCM of denominators i.e. for 510,3706 is 55590.

Thus, GCF of Fractions is 2/55590.Finally, GCF of Fractions for 6024/510, 9362/3706 is 2/55590.