How to Find GCF of 1928/929, 4908/2079?

GCF of 1928/929, 4908/2079

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 1928/929, 4908/2079 i.e 4/1931391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1928/929, 4908/2079.

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 1928/929,4908/2079?

Given fractions are 1928/929,4908/2079

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 1928/929,4908/2079, numerators are 1928,4908

Denominators are 929,2079

The GCF of 1928,4908 is 4 .

LCM of 929,2079 is 1931391.

The greatest common factor of 1928/929,4908/2079 = [GCF of 1928,4908]/[LCM of 929,2079]= 4/1931391

Therefore, the GCF of 1928/929,4908/2079 is 4/1931391.

Greatest Common Factor of 1928,4908

To find the highest common factor of 1928,4908, 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 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908

The HCF of 1928,4908 is 4.

Lets's calculate GCF of 1928,4908

Greatest Common Factor (GCF) of 1928,4908 By Common Division

2	1928, 4908
2	964, 2454
	482, 1227

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

Greatest Common Factor of 1928,4908 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 4908

1,2,3,4,6,12,409,818,1227,1636,2454,4908

Greatest Common Factor

We found the factors 1928,4908 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,4908 is 4.

Lets's calculate LCM of 929,2079

Lowest Common Multiple of 929,2079 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1931391

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1931391

Therefore, the GCF of Fractions 1928/929,4908/2079 is 4/1931391

Least Common Multiple of 929,2079 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 929,2079 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,2079) = 1

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

GCF(929,2079) x common factors =1 x 1 = 1

LCM(929,2079) = ( 929 × 2079 ) / 1

LCM(929,2079) = 1931391 / 1

LCM(929,2079) = 1931391

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FAQs on GCF of Fractions of 1928/929, 4908/2079

1. What is the HCF of 1928,4908?

The HCF of 1928,4908 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 1928/929, 4908/2079?

Answer: GCF of Numerators as per given numbers 1928/929, 4908/2079 is

GCF of Numerators i.e. for 1928,4908 is 4

LCM of denominators i.e. for 929,2079 is 1931391.

Thus, GCF of Fractions is 4/1931391.Finally, GCF of Fractions for 1928/929, 4908/2079 is 4/1931391.