How to Find GCF of 9670/210, 2750/629?

GCF of 9670/210, 2750/629

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 9670/210, 2750/629 i.e 10/132090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9670/210, 2750/629.

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 9670/210,2750/629?

Given fractions are 9670/210,2750/629

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 9670/210,2750/629, numerators are 9670,2750

Denominators are 210,629

The GCF of 9670,2750 is 10 .

LCM of 210,629 is 132090.

The greatest common factor of 9670/210,2750/629 = [GCF of 9670,2750]/[LCM of 210,629]= 10/132090

Therefore, the GCF of 9670/210,2750/629 is 10/132090.

Greatest Common Factor of 9670,2750

To find the highest common factor of 9670,2750, we have to find the factors of both numbers and list the highest common factor.

The factors of 9670 are 1, 2, 5, 10, 967, 1934, 4835, 9670

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

The HCF of 9670,2750 is 10.

Lets's calculate GCF of 9670,2750

Greatest Common Factor (GCF) of 9670,2750 By Common Division

2	9670, 2750
5	4835, 1375
	967, 275

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

Greatest Common Factor of 9670,2750 By Matching Biggest Common Factor Method

Now, list down the factors of 9670

1,2,5,10,967,1934,4835,9670

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 9670,2750 . The biggest common factor number is the GCF number.
So the greatest common factor 9670,2750 is 10.

Lets's calculate LCM of 210,629

Lowest Common Multiple of 210,629 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 132090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/132090

Therefore, the GCF of Fractions 9670/210,2750/629 is 10/132090

Least Common Multiple of 210,629 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 210,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,629) = 1

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

GCF(210,629) x common factors =1 x 1 = 1

LCM(210,629) = ( 210 × 629 ) / 1

LCM(210,629) = 132090 / 1

LCM(210,629) = 132090

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9670/210, 2750/629

1. What is the HCF of 9670,2750?

The HCF of 9670,2750 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 9670/210, 2750/629?

Answer: GCF of Numerators as per given numbers 9670/210, 2750/629 is

GCF of Numerators i.e. for 9670,2750 is 10

LCM of denominators i.e. for 210,629 is 132090.

Thus, GCF of Fractions is 10/132090.Finally, GCF of Fractions for 9670/210, 2750/629 is 10/132090.