How to Find GCF of 8026/842, 2229/9455?

GCF of 8026/842, 2229/9455

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 8026/842, 2229/9455 i.e 1/7961110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8026/842, 2229/9455.

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 8026/842,2229/9455?

Given fractions are 8026/842,2229/9455

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 8026/842,2229/9455, numerators are 8026,2229

Denominators are 842,9455

The GCF of 8026,2229 is 1 .

LCM of 842,9455 is 7961110.

The greatest common factor of 8026/842,2229/9455 = [GCF of 8026,2229]/[LCM of 842,9455]= 1/7961110

Therefore, the GCF of 8026/842,2229/9455 is 1/7961110.

Greatest Common Factor of 8026,2229

To find the highest common factor of 8026,2229, we have to find the factors of both numbers and list the highest common factor.

The factors of 8026 are 1, 2, 4013, 8026

The factors of 2229 are 1, 3, 743, 2229

The HCF of 8026,2229 is 1.

Lets's calculate GCF of 8026,2229

Greatest Common Factor (GCF) of 8026,2229 By Common Division

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

Greatest Common Factor of 8026,2229 By Matching Biggest Common Factor Method

Now, list down the factors of 8026

1,2,4013,8026

Now, list down the factors of 2229

1,3,743,2229

Greatest Common Factor

We found the factors 8026,2229 . The biggest common factor number is the GCF number.
So the greatest common factor 8026,2229 is 1.

Lets's calculate LCM of 842,9455

Lowest Common Multiple of 842,9455 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7961110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7961110

Therefore, the GCF of Fractions 8026/842,2229/9455 is 1/7961110

Least Common Multiple of 842,9455 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 842,9455 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,9455) = 1

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

GCF(842,9455) x common factors =1 x 1 = 1

LCM(842,9455) = ( 842 × 9455 ) / 1

LCM(842,9455) = 7961110 / 1

LCM(842,9455) = 7961110

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FAQs on GCF of Fractions of 8026/842, 2229/9455

1. What is the HCF of 8026,2229?

The HCF of 8026,2229 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 8026/842, 2229/9455?

Answer: GCF of Numerators as per given numbers 8026/842, 2229/9455 is

GCF of Numerators i.e. for 8026,2229 is 1

LCM of denominators i.e. for 842,9455 is 7961110.

Thus, GCF of Fractions is 1/7961110.Finally, GCF of Fractions for 8026/842, 2229/9455 is 1/7961110.