How to Find GCF of 9221/798, 7046/1088?

GCF of 9221/798, 7046/1088

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 9221/798, 7046/1088 i.e 1/434112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9221/798, 7046/1088.

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 9221/798,7046/1088?

Given fractions are 9221/798,7046/1088

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 9221/798,7046/1088, numerators are 9221,7046

Denominators are 798,1088

The GCF of 9221,7046 is 1 .

LCM of 798,1088 is 434112.

The greatest common factor of 9221/798,7046/1088 = [GCF of 9221,7046]/[LCM of 798,1088]= 1/434112

Therefore, the GCF of 9221/798,7046/1088 is 1/434112.

Greatest Common Factor of 9221,7046

To find the highest common factor of 9221,7046, we have to find the factors of both numbers and list the highest common factor.

The factors of 9221 are 1, 9221

The factors of 7046 are 1, 2, 13, 26, 271, 542, 3523, 7046

The HCF of 9221,7046 is 1.

Lets's calculate GCF of 9221,7046

Greatest Common Factor (GCF) of 9221,7046 By Common Division

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

Greatest Common Factor of 9221,7046 By Matching Biggest Common Factor Method

Now, list down the factors of 9221

1,9221

Now, list down the factors of 7046

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors 9221,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 9221,7046 is 1.

Lets's calculate LCM of 798,1088

Lowest Common Multiple of 798,1088 using Common Division

2	798, 1088
	399, 544

∴ So the LCM of the given numbers is 2 x 399 x 544 = 434112

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/434112

Therefore, the GCF of Fractions 9221/798,7046/1088 is 1/434112

Least Common Multiple of 798,1088 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 798,1088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(798,1088) = 2

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

GCF(798,1088) x common factors =2 x 1 = 2

LCM(798,1088) = ( 798 × 1088 ) / 2

LCM(798,1088) = 868224 / 2

LCM(798,1088) = 434112

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FAQs on GCF of Fractions of 9221/798, 7046/1088

1. What is the HCF of 9221,7046?

The HCF of 9221,7046 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 9221/798, 7046/1088?

Answer: GCF of Numerators as per given numbers 9221/798, 7046/1088 is

GCF of Numerators i.e. for 9221,7046 is 1

LCM of denominators i.e. for 798,1088 is 434112.

Thus, GCF of Fractions is 1/434112.Finally, GCF of Fractions for 9221/798, 7046/1088 is 1/434112.