How to Find GCF of 1928/95, 2420/343?

GCF of 1928/95, 2420/343

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 1928/95, 2420/343 i.e 4/32585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1928/95, 2420/343.

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 1928/95,2420/343?

Given fractions are 1928/95,2420/343

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 1928/95,2420/343, numerators are 1928,2420

Denominators are 95,343

The GCF of 1928,2420 is 4 .

LCM of 95,343 is 32585.

The greatest common factor of 1928/95,2420/343 = [GCF of 1928,2420]/[LCM of 95,343]= 4/32585

Therefore, the GCF of 1928/95,2420/343 is 4/32585.

Greatest Common Factor of 1928,2420

To find the highest common factor of 1928,2420, 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 2420 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 121, 220, 242, 484, 605, 1210, 2420

The HCF of 1928,2420 is 4.

Lets's calculate GCF of 1928,2420

Greatest Common Factor (GCF) of 1928,2420 By Common Division

2	1928, 2420
2	964, 1210
	482, 605

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

Greatest Common Factor of 1928,2420 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 2420

1,2,4,5,10,11,20,22,44,55,110,121,220,242,484,605,1210,2420

Greatest Common Factor

We found the factors 1928,2420 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,2420 is 4.

Lets's calculate LCM of 95,343

Lowest Common Multiple of 95,343 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 32585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/32585

Therefore, the GCF of Fractions 1928/95,2420/343 is 4/32585

Least Common Multiple of 95,343 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 95,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,343) = 1

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

GCF(95,343) x common factors =1 x 1 = 1

LCM(95,343) = ( 95 × 343 ) / 1

LCM(95,343) = 32585 / 1

LCM(95,343) = 32585

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 1928/95, 2420/343

1. What is the HCF of 1928,2420?

The HCF of 1928,2420 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 1928/95, 2420/343?

Answer: GCF of Numerators as per given numbers 1928/95, 2420/343 is

GCF of Numerators i.e. for 1928,2420 is 4

LCM of denominators i.e. for 95,343 is 32585.

Thus, GCF of Fractions is 4/32585.Finally, GCF of Fractions for 1928/95, 2420/343 is 4/32585.