How to Find GCF of 8570/673, 3970/9452?

GCF of 8570/673, 3970/9452

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 8570/673, 3970/9452 i.e 10/6361196 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8570/673, 3970/9452.

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 8570/673,3970/9452?

Given fractions are 8570/673,3970/9452

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 8570/673,3970/9452, numerators are 8570,3970

Denominators are 673,9452

The GCF of 8570,3970 is 10 .

LCM of 673,9452 is 6361196.

The greatest common factor of 8570/673,3970/9452 = [GCF of 8570,3970]/[LCM of 673,9452]= 10/6361196

Therefore, the GCF of 8570/673,3970/9452 is 10/6361196.

Greatest Common Factor of 8570,3970

To find the highest common factor of 8570,3970, we have to find the factors of both numbers and list the highest common factor.

The factors of 8570 are 1, 2, 5, 10, 857, 1714, 4285, 8570

The factors of 3970 are 1, 2, 5, 10, 397, 794, 1985, 3970

The HCF of 8570,3970 is 10.

Lets's calculate GCF of 8570,3970

Greatest Common Factor (GCF) of 8570,3970 By Common Division

2	8570, 3970
5	4285, 1985
	857, 397

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

Greatest Common Factor of 8570,3970 By Matching Biggest Common Factor Method

Now, list down the factors of 8570

1,2,5,10,857,1714,4285,8570

Now, list down the factors of 3970

1,2,5,10,397,794,1985,3970

Greatest Common Factor

We found the factors 8570,3970 . The biggest common factor number is the GCF number.
So the greatest common factor 8570,3970 is 10.

Lets's calculate LCM of 673,9452

Lowest Common Multiple of 673,9452 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6361196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6361196

Therefore, the GCF of Fractions 8570/673,3970/9452 is 10/6361196

Least Common Multiple of 673,9452 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 673,9452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,9452) = 1

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

GCF(673,9452) x common factors =1 x 1 = 1

LCM(673,9452) = ( 673 × 9452 ) / 1

LCM(673,9452) = 6361196 / 1

LCM(673,9452) = 6361196

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FAQs on GCF of Fractions of 8570/673, 3970/9452

1. What is the HCF of 8570,3970?

The HCF of 8570,3970 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 8570/673, 3970/9452?

Answer: GCF of Numerators as per given numbers 8570/673, 3970/9452 is

GCF of Numerators i.e. for 8570,3970 is 10

LCM of denominators i.e. for 673,9452 is 6361196.

Thus, GCF of Fractions is 10/6361196.Finally, GCF of Fractions for 8570/673, 3970/9452 is 10/6361196.