How to Find GCF of 6496/910, 2048/471?

GCF of 6496/910, 2048/471

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 6496/910, 2048/471 i.e 32/428610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6496/910, 2048/471.

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 6496/910,2048/471?

Given fractions are 6496/910,2048/471

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 6496/910,2048/471, numerators are 6496,2048

Denominators are 910,471

The GCF of 6496,2048 is 32 .

LCM of 910,471 is 428610.

The greatest common factor of 6496/910,2048/471 = [GCF of 6496,2048]/[LCM of 910,471]= 32/428610

Therefore, the GCF of 6496/910,2048/471 is 32/428610.

Greatest Common Factor of 6496,2048

To find the highest common factor of 6496,2048, we have to find the factors of both numbers and list the highest common factor.

The factors of 6496 are 1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 56, 58, 112, 116, 203, 224, 232, 406, 464, 812, 928, 1624, 3248, 6496

The factors of 2048 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048

The HCF of 6496,2048 is 32.

Lets's calculate GCF of 6496,2048

Greatest Common Factor (GCF) of 6496,2048 By Common Division

2	6496, 2048
2	3248, 1024
2	1624, 512
2	812, 256
2	406, 128
	203, 64

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 6496,2048 By Matching Biggest Common Factor Method

Now, list down the factors of 6496

1,2,4,7,8,14,16,28,29,32,56,58,112,116,203,224,232,406,464,812,928,1624,3248,6496

Now, list down the factors of 2048

1,2,4,8,16,32,64,128,256,512,1024,2048

Greatest Common Factor

We found the factors 6496,2048 . The biggest common factor number is the GCF number.
So the greatest common factor 6496,2048 is 32.

Lets's calculate LCM of 910,471

Lowest Common Multiple of 910,471 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 428610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/428610

Therefore, the GCF of Fractions 6496/910,2048/471 is 32/428610

Least Common Multiple of 910,471 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 910,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,471) = 1

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

GCF(910,471) x common factors =1 x 1 = 1

LCM(910,471) = ( 910 × 471 ) / 1

LCM(910,471) = 428610 / 1

LCM(910,471) = 428610

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FAQs on GCF of Fractions of 6496/910, 2048/471

1. What is the HCF of 6496,2048?

The HCF of 6496,2048 is 32

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 6496/910, 2048/471?

Answer: GCF of Numerators as per given numbers 6496/910, 2048/471 is

GCF of Numerators i.e. for 6496,2048 is 32

LCM of denominators i.e. for 910,471 is 428610.

Thus, GCF of Fractions is 32/428610.Finally, GCF of Fractions for 6496/910, 2048/471 is 32/428610.