How to Find GCF of 4736/730, 3232/1014?

GCF of 4736/730, 3232/1014

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 4736/730, 3232/1014 i.e 32/370110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4736/730, 3232/1014.

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 4736/730,3232/1014?

Given fractions are 4736/730,3232/1014

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 4736/730,3232/1014, numerators are 4736,3232

Denominators are 730,1014

The GCF of 4736,3232 is 32 .

LCM of 730,1014 is 370110.

The greatest common factor of 4736/730,3232/1014 = [GCF of 4736,3232]/[LCM of 730,1014]= 32/370110

Therefore, the GCF of 4736/730,3232/1014 is 32/370110.

Greatest Common Factor of 4736,3232

To find the highest common factor of 4736,3232, we have to find the factors of both numbers and list the highest common factor.

The factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736

The factors of 3232 are 1, 2, 4, 8, 16, 32, 101, 202, 404, 808, 1616, 3232

The HCF of 4736,3232 is 32.

Lets's calculate GCF of 4736,3232

Greatest Common Factor (GCF) of 4736,3232 By Common Division

2	4736, 3232
2	2368, 1616
2	1184, 808
2	592, 404
2	296, 202
	148, 101

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 4736,3232 By Matching Biggest Common Factor Method

Now, list down the factors of 4736

1,2,4,8,16,32,37,64,74,128,148,296,592,1184,2368,4736

Now, list down the factors of 3232

1,2,4,8,16,32,101,202,404,808,1616,3232

Greatest Common Factor

We found the factors 4736,3232 . The biggest common factor number is the GCF number.
So the greatest common factor 4736,3232 is 32.

Lets's calculate LCM of 730,1014

Lowest Common Multiple of 730,1014 using Common Division

2	730, 1014
	365, 507

∴ So the LCM of the given numbers is 2 x 365 x 507 = 370110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/370110

Therefore, the GCF of Fractions 4736/730,3232/1014 is 32/370110

Least Common Multiple of 730,1014 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 730,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(730,1014) = 2

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

GCF(730,1014) x common factors =2 x 1 = 2

LCM(730,1014) = ( 730 × 1014 ) / 2

LCM(730,1014) = 740220 / 2

LCM(730,1014) = 370110

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FAQs on GCF of Fractions of 4736/730, 3232/1014

1. What is the HCF of 4736,3232?

The HCF of 4736,3232 is 32

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 4736/730, 3232/1014?

Answer: GCF of Numerators as per given numbers 4736/730, 3232/1014 is

GCF of Numerators i.e. for 4736,3232 is 32

LCM of denominators i.e. for 730,1014 is 370110.

Thus, GCF of Fractions is 32/370110.Finally, GCF of Fractions for 4736/730, 3232/1014 is 32/370110.