How to Find GCF of 1934/848, 4846/8960?

GCF of 1934/848, 4846/8960

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 1934/848, 4846/8960 i.e 2/474880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1934/848, 4846/8960.

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 1934/848,4846/8960?

Given fractions are 1934/848,4846/8960

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 1934/848,4846/8960, numerators are 1934,4846

Denominators are 848,8960

The GCF of 1934,4846 is 2 .

LCM of 848,8960 is 474880.

The greatest common factor of 1934/848,4846/8960 = [GCF of 1934,4846]/[LCM of 848,8960]= 2/474880

Therefore, the GCF of 1934/848,4846/8960 is 2/474880.

Greatest Common Factor of 1934,4846

To find the highest common factor of 1934,4846, we have to find the factors of both numbers and list the highest common factor.

The factors of 1934 are 1, 2, 967, 1934

The factors of 4846 are 1, 2, 2423, 4846

The HCF of 1934,4846 is 2.

Lets's calculate GCF of 1934,4846

Greatest Common Factor (GCF) of 1934,4846 By Common Division

2	1934, 4846
	967, 2423

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

Greatest Common Factor of 1934,4846 By Matching Biggest Common Factor Method

Now, list down the factors of 1934

1,2,967,1934

Now, list down the factors of 4846

1,2,2423,4846

Greatest Common Factor

We found the factors 1934,4846 . The biggest common factor number is the GCF number.
So the greatest common factor 1934,4846 is 2.

Lets's calculate LCM of 848,8960

Lowest Common Multiple of 848,8960 using Common Division

2	848, 8960
2	424, 4480
2	212, 2240
2	106, 1120
	53, 560

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 53 x 560 = 474880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/474880

Therefore, the GCF of Fractions 1934/848,4846/8960 is 2/474880

Least Common Multiple of 848,8960 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 848,8960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(848,8960) = 16

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

GCF(848,8960) x common factors =16 x 1 = 16

LCM(848,8960) = ( 848 × 8960 ) / 16

LCM(848,8960) = 7598080 / 16

LCM(848,8960) = 474880

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FAQs on GCF of Fractions of 1934/848, 4846/8960

1. What is the HCF of 1934,4846?

The HCF of 1934,4846 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 1934/848, 4846/8960?

Answer: GCF of Numerators as per given numbers 1934/848, 4846/8960 is

GCF of Numerators i.e. for 1934,4846 is 2

LCM of denominators i.e. for 848,8960 is 474880.

Thus, GCF of Fractions is 2/474880.Finally, GCF of Fractions for 1934/848, 4846/8960 is 2/474880.