How to Find GCF of 9170/722, 9197/8188?

GCF of 9170/722, 9197/8188

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 9170/722, 9197/8188 i.e 1/2955868 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9170/722, 9197/8188.

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 9170/722,9197/8188?

Given fractions are 9170/722,9197/8188

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 9170/722,9197/8188, numerators are 9170,9197

Denominators are 722,8188

The GCF of 9170,9197 is 1 .

LCM of 722,8188 is 2955868.

The greatest common factor of 9170/722,9197/8188 = [GCF of 9170,9197]/[LCM of 722,8188]= 1/2955868

Therefore, the GCF of 9170/722,9197/8188 is 1/2955868.

Greatest Common Factor of 9170,9197

To find the highest common factor of 9170,9197, we have to find the factors of both numbers and list the highest common factor.

The factors of 9170 are 1, 2, 5, 7, 10, 14, 35, 70, 131, 262, 655, 917, 1310, 1834, 4585, 9170

The factors of 9197 are 1, 17, 541, 9197

The HCF of 9170,9197 is 1.

Lets's calculate GCF of 9170,9197

Greatest Common Factor (GCF) of 9170,9197 By Common Division

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

Greatest Common Factor of 9170,9197 By Matching Biggest Common Factor Method

Now, list down the factors of 9170

1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170

Now, list down the factors of 9197

1,17,541,9197

Greatest Common Factor

We found the factors 9170,9197 . The biggest common factor number is the GCF number.
So the greatest common factor 9170,9197 is 1.

Lets's calculate LCM of 722,8188

Lowest Common Multiple of 722,8188 using Common Division

2	722, 8188
	361, 4094

∴ So the LCM of the given numbers is 2 x 361 x 4094 = 2955868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2955868

Therefore, the GCF of Fractions 9170/722,9197/8188 is 1/2955868

Least Common Multiple of 722,8188 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 722,8188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(722,8188) = 2

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

GCF(722,8188) x common factors =2 x 1 = 2

LCM(722,8188) = ( 722 × 8188 ) / 2

LCM(722,8188) = 5911736 / 2

LCM(722,8188) = 2955868

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FAQs on GCF of Fractions of 9170/722, 9197/8188

1. What is the HCF of 9170,9197?

The HCF of 9170,9197 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 9170/722, 9197/8188?

Answer: GCF of Numerators as per given numbers 9170/722, 9197/8188 is

GCF of Numerators i.e. for 9170,9197 is 1

LCM of denominators i.e. for 722,8188 is 2955868.

Thus, GCF of Fractions is 1/2955868.Finally, GCF of Fractions for 9170/722, 9197/8188 is 1/2955868.