How to Find GCF of 828/454, 473/111?

GCF of 828/454, 473/111

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 828/454, 473/111 i.e 1/50394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 828/454, 473/111.

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 828/454,473/111?

Given fractions are 828/454,473/111

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 828/454,473/111, numerators are 828,473

Denominators are 454,111

The GCF of 828,473 is 1 .

LCM of 454,111 is 50394.

The greatest common factor of 828/454,473/111 = [GCF of 828,473]/[LCM of 454,111]= 1/50394

Therefore, the GCF of 828/454,473/111 is 1/50394.

Greatest Common Factor of 828,473

To find the highest common factor of 828,473, we have to find the factors of both numbers and list the highest common factor.

The factors of 828 are 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

The factors of 473 are 1, 11, 43, 473

The HCF of 828,473 is 1.

Lets's calculate GCF of 828,473

Greatest Common Factor (GCF) of 828,473 By Common Division

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

Greatest Common Factor of 828,473 By Matching Biggest Common Factor Method

Now, list down the factors of 828

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Now, list down the factors of 473

1,11,43,473

Greatest Common Factor

We found the factors 828,473 . The biggest common factor number is the GCF number.
So the greatest common factor 828,473 is 1.

Lets's calculate LCM of 454,111

Lowest Common Multiple of 454,111 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 50394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50394

Therefore, the GCF of Fractions 828/454,473/111 is 1/50394

Least Common Multiple of 454,111 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 454,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,111) = 1

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

GCF(454,111) x common factors =1 x 1 = 1

LCM(454,111) = ( 454 × 111 ) / 1

LCM(454,111) = 50394 / 1

LCM(454,111) = 50394

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FAQs on GCF of Fractions of 828/454, 473/111

1. What is the HCF of 828,473?

The HCF of 828,473 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 828/454, 473/111?

Answer: GCF of Numerators as per given numbers 828/454, 473/111 is

GCF of Numerators i.e. for 828,473 is 1

LCM of denominators i.e. for 454,111 is 50394.

Thus, GCF of Fractions is 1/50394.Finally, GCF of Fractions for 828/454, 473/111 is 1/50394.