How to Find GCF of 9970/937, 2750/327?

GCF of 9970/937, 2750/327

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 9970/937, 2750/327 i.e 10/306399 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9970/937, 2750/327.

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 9970/937,2750/327?

Given fractions are 9970/937,2750/327

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 9970/937,2750/327, numerators are 9970,2750

Denominators are 937,327

The GCF of 9970,2750 is 10 .

LCM of 937,327 is 306399.

The greatest common factor of 9970/937,2750/327 = [GCF of 9970,2750]/[LCM of 937,327]= 10/306399

Therefore, the GCF of 9970/937,2750/327 is 10/306399.

Greatest Common Factor of 9970,2750

To find the highest common factor of 9970,2750, we have to find the factors of both numbers and list the highest common factor.

The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970

The factors of 2750 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1375, 2750

The HCF of 9970,2750 is 10.

Lets's calculate GCF of 9970,2750

Greatest Common Factor (GCF) of 9970,2750 By Common Division

2	9970, 2750
5	4985, 1375
	997, 275

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

Greatest Common Factor of 9970,2750 By Matching Biggest Common Factor Method

Now, list down the factors of 9970

1,2,5,10,997,1994,4985,9970

Now, list down the factors of 2750

1,2,5,10,11,22,25,50,55,110,125,250,275,550,1375,2750

Greatest Common Factor

We found the factors 9970,2750 . The biggest common factor number is the GCF number.
So the greatest common factor 9970,2750 is 10.

Lets's calculate LCM of 937,327

Lowest Common Multiple of 937,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 306399

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/306399

Therefore, the GCF of Fractions 9970/937,2750/327 is 10/306399

Least Common Multiple of 937,327 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 937,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(937,327) = 1

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

GCF(937,327) x common factors =1 x 1 = 1

LCM(937,327) = ( 937 × 327 ) / 1

LCM(937,327) = 306399 / 1

LCM(937,327) = 306399

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FAQs on GCF of Fractions of 9970/937, 2750/327

1. What is the HCF of 9970,2750?

The HCF of 9970,2750 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 9970/937, 2750/327?

Answer: GCF of Numerators as per given numbers 9970/937, 2750/327 is

GCF of Numerators i.e. for 9970,2750 is 10

LCM of denominators i.e. for 937,327 is 306399.

Thus, GCF of Fractions is 10/306399.Finally, GCF of Fractions for 9970/937, 2750/327 is 10/306399.