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GCF of 842/45, 256/904

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 842/45, 256/904 i.e 2/40680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/45, 256/904.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 842/45,256/904?

Given fractions are 842/45,256/904

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 842/45,256/904, numerators are 842,256

Denominators are 45,904

The GCF of 842,256 is 2 .

LCM of 45,904 is 40680.

The greatest common factor of 842/45,256/904 = [GCF of 842,256]/[LCM of 45,904]= 2/40680

Therefore, the GCF of 842/45,256/904 is 2/40680.

Greatest Common Factor of 842,256

To find the highest common factor of 842,256, we have to find the factors of both numbers and list the highest common factor.

The factors of 842 are 1, 2, 421, 842

The factors of 256 are 1, 2, 4, 8, 16, 32, 64, 128, 256

The HCF of 842,256 is 2.

Lets's calculate GCF of 842,256

Greatest Common Factor (GCF) of 842,256 By Common Division

2 842, 256
421, 128

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

Greatest Common Factor of 842,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,256 By Matching Biggest Common Factor Method

Now, list down the factors of 842

:

1,2,421,842

Now, list down the factors of 256

:

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 842,256 . The biggest common factor number is the GCF number.
So the greatest common factor 842,256 is 2.

Lets's calculate LCM of 45,904

Lowest Common Multiple of 45,904 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 40680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40680

Therefore, the GCF of Fractions 842/45,256/904 is 2/40680

Least Common Multiple of 45,904 with GCF Formula

Least Common Multiple of 45,904 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 45,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,904) = 1

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

GCF(45,904) x common factors =1 x 1 = 1

LCM(45,904) = ( 45 × 904 ) / 1

LCM(45,904) = 40680 / 1

LCM(45,904) = 40680


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FAQs on GCF of Fractions of 842/45, 256/904

1. What is the HCF of 842,256?

The HCF of 842,256 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 842/45, 256/904?

Answer: GCF of Numerators as per given numbers 842/45, 256/904 is

GCF of Numerators i.e. for 842,256 is 2

LCM of denominators i.e. for 45,904 is 40680.

Thus, GCF of Fractions is 2/40680.Finally, GCF of Fractions for 842/45, 256/904 is 2/40680.