How to Find GCF of 4776/256, 3245/3674?

GCF of 4776/256, 3245/3674

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 4776/256, 3245/3674 i.e 1/470272 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4776/256, 3245/3674.

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 4776/256,3245/3674?

Given fractions are 4776/256,3245/3674

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 4776/256,3245/3674, numerators are 4776,3245

Denominators are 256,3674

The GCF of 4776,3245 is 1 .

LCM of 256,3674 is 470272.

The greatest common factor of 4776/256,3245/3674 = [GCF of 4776,3245]/[LCM of 256,3674]= 1/470272

Therefore, the GCF of 4776/256,3245/3674 is 1/470272.

Greatest Common Factor of 4776,3245

To find the highest common factor of 4776,3245, we have to find the factors of both numbers and list the highest common factor.

The factors of 4776 are 1, 2, 3, 4, 6, 8, 12, 24, 199, 398, 597, 796, 1194, 1592, 2388, 4776

The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245

The HCF of 4776,3245 is 1.

Lets's calculate GCF of 4776,3245

Greatest Common Factor (GCF) of 4776,3245 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4776,3245 By Matching Biggest Common Factor Method

Now, list down the factors of 4776

1,2,3,4,6,8,12,24,199,398,597,796,1194,1592,2388,4776

Now, list down the factors of 3245

1,5,11,55,59,295,649,3245

Greatest Common Factor

We found the factors 4776,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 4776,3245 is 1.

Lets's calculate LCM of 256,3674

Lowest Common Multiple of 256,3674 using Common Division

2	256, 3674
	128, 1837

∴ So the LCM of the given numbers is 2 x 128 x 1837 = 470272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/470272

Therefore, the GCF of Fractions 4776/256,3245/3674 is 1/470272

Least Common Multiple of 256,3674 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 256,3674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,3674) = 2

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

GCF(256,3674) x common factors =2 x 1 = 2

LCM(256,3674) = ( 256 × 3674 ) / 2

LCM(256,3674) = 940544 / 2

LCM(256,3674) = 470272

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FAQs on GCF of Fractions of 4776/256, 3245/3674

1. What is the HCF of 4776,3245?

The HCF of 4776,3245 is 1

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 4776/256, 3245/3674?

Answer: GCF of Numerators as per given numbers 4776/256, 3245/3674 is

GCF of Numerators i.e. for 4776,3245 is 1

LCM of denominators i.e. for 256,3674 is 470272.

Thus, GCF of Fractions is 1/470272.Finally, GCF of Fractions for 4776/256, 3245/3674 is 1/470272.