How to Find GCF of 30/504, 3686/7276?

GCF of 30/504, 3686/7276

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 30/504, 3686/7276 i.e 2/916776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/504, 3686/7276.

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 30/504,3686/7276?

Given fractions are 30/504,3686/7276

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 30/504,3686/7276, numerators are 30,3686

Denominators are 504,7276

The GCF of 30,3686 is 2 .

LCM of 504,7276 is 916776.

The greatest common factor of 30/504,3686/7276 = [GCF of 30,3686]/[LCM of 504,7276]= 2/916776

Therefore, the GCF of 30/504,3686/7276 is 2/916776.

Greatest Common Factor of 30,3686

To find the highest common factor of 30,3686, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686

The HCF of 30,3686 is 2.

Lets's calculate GCF of 30,3686

Greatest Common Factor (GCF) of 30,3686 By Common Division

2	30, 3686
	15, 1843

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

Greatest Common Factor of 30,3686 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 3686

1,2,19,38,97,194,1843,3686

Greatest Common Factor

We found the factors 30,3686 . The biggest common factor number is the GCF number.
So the greatest common factor 30,3686 is 2.

Lets's calculate LCM of 504,7276

Lowest Common Multiple of 504,7276 using Common Division

2	504, 7276
2	252, 3638
	126, 1819

∴ So the LCM of the given numbers is 2 x 2 x 126 x 1819 = 916776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/916776

Therefore, the GCF of Fractions 30/504,3686/7276 is 2/916776

Least Common Multiple of 504,7276 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 504,7276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,7276) = 4

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

GCF(504,7276) x common factors =4 x 1 = 4

LCM(504,7276) = ( 504 × 7276 ) / 4

LCM(504,7276) = 3667104 / 4

LCM(504,7276) = 916776

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FAQs on GCF of Fractions of 30/504, 3686/7276

1. What is the HCF of 30,3686?

The HCF of 30,3686 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 30/504, 3686/7276?

Answer: GCF of Numerators as per given numbers 30/504, 3686/7276 is

GCF of Numerators i.e. for 30,3686 is 2

LCM of denominators i.e. for 504,7276 is 916776.

Thus, GCF of Fractions is 2/916776.Finally, GCF of Fractions for 30/504, 3686/7276 is 2/916776.