How to Find GCF of 9403/224, 8022/981?

GCF of 9403/224, 8022/981

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 9403/224, 8022/981 i.e 1/219744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9403/224, 8022/981.

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 9403/224,8022/981?

Given fractions are 9403/224,8022/981

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 9403/224,8022/981, numerators are 9403,8022

Denominators are 224,981

The GCF of 9403,8022 is 1 .

LCM of 224,981 is 219744.

The greatest common factor of 9403/224,8022/981 = [GCF of 9403,8022]/[LCM of 224,981]= 1/219744

Therefore, the GCF of 9403/224,8022/981 is 1/219744.

Greatest Common Factor of 9403,8022

To find the highest common factor of 9403,8022, we have to find the factors of both numbers and list the highest common factor.

The factors of 9403 are 1, 9403

The factors of 8022 are 1, 2, 3, 6, 7, 14, 21, 42, 191, 382, 573, 1146, 1337, 2674, 4011, 8022

The HCF of 9403,8022 is 1.

Lets's calculate GCF of 9403,8022

Greatest Common Factor (GCF) of 9403,8022 By Common Division

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

Greatest Common Factor of 9403,8022 By Matching Biggest Common Factor Method

Now, list down the factors of 9403

1,9403

Now, list down the factors of 8022

1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022

Greatest Common Factor

We found the factors 9403,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 9403,8022 is 1.

Lets's calculate LCM of 224,981

Lowest Common Multiple of 224,981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 219744

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219744

Therefore, the GCF of Fractions 9403/224,8022/981 is 1/219744

Least Common Multiple of 224,981 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 224,981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(224,981) = 1

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

GCF(224,981) x common factors =1 x 1 = 1

LCM(224,981) = ( 224 × 981 ) / 1

LCM(224,981) = 219744 / 1

LCM(224,981) = 219744

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9403/224, 8022/981

1. What is the HCF of 9403,8022?

The HCF of 9403,8022 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 9403/224, 8022/981?

Answer: GCF of Numerators as per given numbers 9403/224, 8022/981 is

GCF of Numerators i.e. for 9403,8022 is 1

LCM of denominators i.e. for 224,981 is 219744.

Thus, GCF of Fractions is 1/219744.Finally, GCF of Fractions for 9403/224, 8022/981 is 1/219744.