How to Find GCF of 4822/154, 1474/8453?

GCF of 4822/154, 1474/8453

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 4822/154, 1474/8453 i.e 2/1301762 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4822/154, 1474/8453.

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 4822/154,1474/8453?

Given fractions are 4822/154,1474/8453

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 4822/154,1474/8453, numerators are 4822,1474

Denominators are 154,8453

The GCF of 4822,1474 is 2 .

LCM of 154,8453 is 1301762.

The greatest common factor of 4822/154,1474/8453 = [GCF of 4822,1474]/[LCM of 154,8453]= 2/1301762

Therefore, the GCF of 4822/154,1474/8453 is 2/1301762.

Greatest Common Factor of 4822,1474

To find the highest common factor of 4822,1474, we have to find the factors of both numbers and list the highest common factor.

The factors of 4822 are 1, 2, 2411, 4822

The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474

The HCF of 4822,1474 is 2.

Lets's calculate GCF of 4822,1474

Greatest Common Factor (GCF) of 4822,1474 By Common Division

2	4822, 1474
	2411, 737

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

Greatest Common Factor of 4822,1474 By Matching Biggest Common Factor Method

Now, list down the factors of 4822

1,2,2411,4822

Now, list down the factors of 1474

1,2,11,22,67,134,737,1474

Greatest Common Factor

We found the factors 4822,1474 . The biggest common factor number is the GCF number.
So the greatest common factor 4822,1474 is 2.

Lets's calculate LCM of 154,8453

Lowest Common Multiple of 154,8453 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1301762

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1301762

Therefore, the GCF of Fractions 4822/154,1474/8453 is 2/1301762

Least Common Multiple of 154,8453 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 154,8453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(154,8453) = 1

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

GCF(154,8453) x common factors =1 x 1 = 1

LCM(154,8453) = ( 154 × 8453 ) / 1

LCM(154,8453) = 1301762 / 1

LCM(154,8453) = 1301762

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FAQs on GCF of Fractions of 4822/154, 1474/8453

1. What is the HCF of 4822,1474?

The HCF of 4822,1474 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 4822/154, 1474/8453?

Answer: GCF of Numerators as per given numbers 4822/154, 1474/8453 is

GCF of Numerators i.e. for 4822,1474 is 2

LCM of denominators i.e. for 154,8453 is 1301762.

Thus, GCF of Fractions is 2/1301762.Finally, GCF of Fractions for 4822/154, 1474/8453 is 2/1301762.