How to Find GCF of 4776/253, 7366/4294?

GCF of 4776/253, 7366/4294

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 4776/253, 7366/4294 i.e 2/1086382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4776/253, 7366/4294.

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 4776/253,7366/4294?

Given fractions are 4776/253,7366/4294

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 4776/253,7366/4294, numerators are 4776,7366

Denominators are 253,4294

The GCF of 4776,7366 is 2 .

LCM of 253,4294 is 1086382.

The greatest common factor of 4776/253,7366/4294 = [GCF of 4776,7366]/[LCM of 253,4294]= 2/1086382

Therefore, the GCF of 4776/253,7366/4294 is 2/1086382.

Greatest Common Factor of 4776,7366

To find the highest common factor of 4776,7366, 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 7366 are 1, 2, 29, 58, 127, 254, 3683, 7366

The HCF of 4776,7366 is 2.

Lets's calculate GCF of 4776,7366

Greatest Common Factor (GCF) of 4776,7366 By Common Division

2	4776, 7366
	2388, 3683

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

Greatest Common Factor of 4776,7366 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 7366

1,2,29,58,127,254,3683,7366

Greatest Common Factor

We found the factors 4776,7366 . The biggest common factor number is the GCF number.
So the greatest common factor 4776,7366 is 2.

Lets's calculate LCM of 253,4294

Lowest Common Multiple of 253,4294 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1086382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1086382

Therefore, the GCF of Fractions 4776/253,7366/4294 is 2/1086382

Least Common Multiple of 253,4294 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 253,4294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,4294) = 1

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

GCF(253,4294) x common factors =1 x 1 = 1

LCM(253,4294) = ( 253 × 4294 ) / 1

LCM(253,4294) = 1086382 / 1

LCM(253,4294) = 1086382

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FAQs on GCF of Fractions of 4776/253, 7366/4294

1. What is the HCF of 4776,7366?

The HCF of 4776,7366 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 4776/253, 7366/4294?

Answer: GCF of Numerators as per given numbers 4776/253, 7366/4294 is

GCF of Numerators i.e. for 4776,7366 is 2

LCM of denominators i.e. for 253,4294 is 1086382.

Thus, GCF of Fractions is 2/1086382.Finally, GCF of Fractions for 4776/253, 7366/4294 is 2/1086382.