How to Find GCF of 1928/494, 4812/5393?

GCF of 1928/494, 4812/5393

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 1928/494, 4812/5393 i.e 4/2664142 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1928/494, 4812/5393.

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 1928/494,4812/5393?

Given fractions are 1928/494,4812/5393

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 1928/494,4812/5393, numerators are 1928,4812

Denominators are 494,5393

The GCF of 1928,4812 is 4 .

LCM of 494,5393 is 2664142.

The greatest common factor of 1928/494,4812/5393 = [GCF of 1928,4812]/[LCM of 494,5393]= 4/2664142

Therefore, the GCF of 1928/494,4812/5393 is 4/2664142.

Greatest Common Factor of 1928,4812

To find the highest common factor of 1928,4812, we have to find the factors of both numbers and list the highest common factor.

The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928

The factors of 4812 are 1, 2, 3, 4, 6, 12, 401, 802, 1203, 1604, 2406, 4812

The HCF of 1928,4812 is 4.

Lets's calculate GCF of 1928,4812

Greatest Common Factor (GCF) of 1928,4812 By Common Division

2	1928, 4812
2	964, 2406
	482, 1203

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 1928,4812 By Matching Biggest Common Factor Method

Now, list down the factors of 1928

1,2,4,8,241,482,964,1928

Now, list down the factors of 4812

1,2,3,4,6,12,401,802,1203,1604,2406,4812

Greatest Common Factor

We found the factors 1928,4812 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,4812 is 4.

Lets's calculate LCM of 494,5393

Lowest Common Multiple of 494,5393 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2664142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2664142

Therefore, the GCF of Fractions 1928/494,4812/5393 is 4/2664142

Least Common Multiple of 494,5393 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 494,5393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,5393) = 1

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

GCF(494,5393) x common factors =1 x 1 = 1

LCM(494,5393) = ( 494 × 5393 ) / 1

LCM(494,5393) = 2664142 / 1

LCM(494,5393) = 2664142

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FAQs on GCF of Fractions of 1928/494, 4812/5393

1. What is the HCF of 1928,4812?

The HCF of 1928,4812 is 4

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 1928/494, 4812/5393?

Answer: GCF of Numerators as per given numbers 1928/494, 4812/5393 is

GCF of Numerators i.e. for 1928,4812 is 4

LCM of denominators i.e. for 494,5393 is 2664142.

Thus, GCF of Fractions is 4/2664142.Finally, GCF of Fractions for 1928/494, 4812/5393 is 4/2664142.