How to Find GCF of 9770/175, 7226/9081?

GCF of 9770/175, 7226/9081

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 9770/175, 7226/9081 i.e 2/1589175 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9770/175, 7226/9081.

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 9770/175,7226/9081?

Given fractions are 9770/175,7226/9081

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 9770/175,7226/9081, numerators are 9770,7226

Denominators are 175,9081

The GCF of 9770,7226 is 2 .

LCM of 175,9081 is 1589175.

The greatest common factor of 9770/175,7226/9081 = [GCF of 9770,7226]/[LCM of 175,9081]= 2/1589175

Therefore, the GCF of 9770/175,7226/9081 is 2/1589175.

Greatest Common Factor of 9770,7226

To find the highest common factor of 9770,7226, we have to find the factors of both numbers and list the highest common factor.

The factors of 9770 are 1, 2, 5, 10, 977, 1954, 4885, 9770

The factors of 7226 are 1, 2, 3613, 7226

The HCF of 9770,7226 is 2.

Lets's calculate GCF of 9770,7226

Greatest Common Factor (GCF) of 9770,7226 By Common Division

2	9770, 7226
	4885, 3613

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9770,7226 By Matching Biggest Common Factor Method

Now, list down the factors of 9770

1,2,5,10,977,1954,4885,9770

Now, list down the factors of 7226

1,2,3613,7226

Greatest Common Factor

We found the factors 9770,7226 . The biggest common factor number is the GCF number.
So the greatest common factor 9770,7226 is 2.

Lets's calculate LCM of 175,9081

Lowest Common Multiple of 175,9081 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1589175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1589175

Therefore, the GCF of Fractions 9770/175,7226/9081 is 2/1589175

Least Common Multiple of 175,9081 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 175,9081 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(175,9081) = 1

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

GCF(175,9081) x common factors =1 x 1 = 1

LCM(175,9081) = ( 175 × 9081 ) / 1

LCM(175,9081) = 1589175 / 1

LCM(175,9081) = 1589175

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FAQs on GCF of Fractions of 9770/175, 7226/9081

1. What is the HCF of 9770,7226?

The HCF of 9770,7226 is 2

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 9770/175, 7226/9081?

Answer: GCF of Numerators as per given numbers 9770/175, 7226/9081 is

GCF of Numerators i.e. for 9770,7226 is 2

LCM of denominators i.e. for 175,9081 is 1589175.

Thus, GCF of Fractions is 2/1589175.Finally, GCF of Fractions for 9770/175, 7226/9081 is 2/1589175.