How to Find GCF of 929/112, 840/256?

GCF of 929/112, 840/256

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 929/112, 840/256 i.e 1/1792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 929/112, 840/256.

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 929/112,840/256?

Given fractions are 929/112,840/256

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 929/112,840/256, numerators are 929,840

Denominators are 112,256

The GCF of 929,840 is 1 .

LCM of 112,256 is 1792.

The greatest common factor of 929/112,840/256 = [GCF of 929,840]/[LCM of 112,256]= 1/1792

Therefore, the GCF of 929/112,840/256 is 1/1792.

Greatest Common Factor of 929,840

To find the highest common factor of 929,840, we have to find the factors of both numbers and list the highest common factor.

The factors of 929 are 1, 929

The factors of 840 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

The HCF of 929,840 is 1.

Lets's calculate GCF of 929,840

Greatest Common Factor (GCF) of 929,840 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 929,840 By Matching Biggest Common Factor Method

Now, list down the factors of 929

1,929

Now, list down the factors of 840

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 929,840 . The biggest common factor number is the GCF number.
So the greatest common factor 929,840 is 1.

Lets's calculate LCM of 112,256

Lowest Common Multiple of 112,256 using Common Division

2	112, 256
2	56, 128
2	28, 64
2	14, 32
	7, 16

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 16 = 1792

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1792

Therefore, the GCF of Fractions 929/112,840/256 is 1/1792

Least Common Multiple of 112,256 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 112,256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,256) = 16

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

GCF(112,256) x common factors =16 x 1 = 16

LCM(112,256) = ( 112 × 256 ) / 16

LCM(112,256) = 28672 / 16

LCM(112,256) = 1792

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FAQs on GCF of Fractions of 929/112, 840/256

1. What is the HCF of 929,840?

The HCF of 929,840 is 1

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 929/112, 840/256?

Answer: GCF of Numerators as per given numbers 929/112, 840/256 is

GCF of Numerators i.e. for 929,840 is 1

LCM of denominators i.e. for 112,256 is 1792.

Thus, GCF of Fractions is 1/1792.Finally, GCF of Fractions for 929/112, 840/256 is 1/1792.