How to Find GCF of 9290/393, 7210/5678?

GCF of 9290/393, 7210/5678

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 9290/393, 7210/5678 i.e 10/2231454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9290/393, 7210/5678.

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 9290/393,7210/5678?

Given fractions are 9290/393,7210/5678

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 9290/393,7210/5678, numerators are 9290,7210

Denominators are 393,5678

The GCF of 9290,7210 is 10 .

LCM of 393,5678 is 2231454.

The greatest common factor of 9290/393,7210/5678 = [GCF of 9290,7210]/[LCM of 393,5678]= 10/2231454

Therefore, the GCF of 9290/393,7210/5678 is 10/2231454.

Greatest Common Factor of 9290,7210

To find the highest common factor of 9290,7210, we have to find the factors of both numbers and list the highest common factor.

The factors of 9290 are 1, 2, 5, 10, 929, 1858, 4645, 9290

The factors of 7210 are 1, 2, 5, 7, 10, 14, 35, 70, 103, 206, 515, 721, 1030, 1442, 3605, 7210

The HCF of 9290,7210 is 10.

Lets's calculate GCF of 9290,7210

Greatest Common Factor (GCF) of 9290,7210 By Common Division

2	9290, 7210
5	4645, 3605
	929, 721

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 9290,7210 By Matching Biggest Common Factor Method

Now, list down the factors of 9290

1,2,5,10,929,1858,4645,9290

Now, list down the factors of 7210

1,2,5,7,10,14,35,70,103,206,515,721,1030,1442,3605,7210

Greatest Common Factor

We found the factors 9290,7210 . The biggest common factor number is the GCF number.
So the greatest common factor 9290,7210 is 10.

Lets's calculate LCM of 393,5678

Lowest Common Multiple of 393,5678 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2231454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2231454

Therefore, the GCF of Fractions 9290/393,7210/5678 is 10/2231454

Least Common Multiple of 393,5678 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 393,5678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(393,5678) = 1

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

GCF(393,5678) x common factors =1 x 1 = 1

LCM(393,5678) = ( 393 × 5678 ) / 1

LCM(393,5678) = 2231454 / 1

LCM(393,5678) = 2231454

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FAQs on GCF of Fractions of 9290/393, 7210/5678

1. What is the HCF of 9290,7210?

The HCF of 9290,7210 is 10

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 9290/393, 7210/5678?

Answer: GCF of Numerators as per given numbers 9290/393, 7210/5678 is

GCF of Numerators i.e. for 9290,7210 is 10

LCM of denominators i.e. for 393,5678 is 2231454.

Thus, GCF of Fractions is 10/2231454.Finally, GCF of Fractions for 9290/393, 7210/5678 is 10/2231454.