How to Find GCF of 7990/866, 4574/8981?

GCF of 7990/866, 4574/8981

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 7990/866, 4574/8981 i.e 2/7777546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7990/866, 4574/8981.

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 7990/866,4574/8981?

Given fractions are 7990/866,4574/8981

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 7990/866,4574/8981, numerators are 7990,4574

Denominators are 866,8981

The GCF of 7990,4574 is 2 .

LCM of 866,8981 is 7777546.

The greatest common factor of 7990/866,4574/8981 = [GCF of 7990,4574]/[LCM of 866,8981]= 2/7777546

Therefore, the GCF of 7990/866,4574/8981 is 2/7777546.

Greatest Common Factor of 7990,4574

To find the highest common factor of 7990,4574, we have to find the factors of both numbers and list the highest common factor.

The factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990

The factors of 4574 are 1, 2, 2287, 4574

The HCF of 7990,4574 is 2.

Lets's calculate GCF of 7990,4574

Greatest Common Factor (GCF) of 7990,4574 By Common Division

2	7990, 4574
	3995, 2287

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

Greatest Common Factor of 7990,4574 By Matching Biggest Common Factor Method

Now, list down the factors of 7990

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Now, list down the factors of 4574

1,2,2287,4574

Greatest Common Factor

We found the factors 7990,4574 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,4574 is 2.

Lets's calculate LCM of 866,8981

Lowest Common Multiple of 866,8981 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7777546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7777546

Therefore, the GCF of Fractions 7990/866,4574/8981 is 2/7777546

Least Common Multiple of 866,8981 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 866,8981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,8981) = 1

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

GCF(866,8981) x common factors =1 x 1 = 1

LCM(866,8981) = ( 866 × 8981 ) / 1

LCM(866,8981) = 7777546 / 1

LCM(866,8981) = 7777546

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FAQs on GCF of Fractions of 7990/866, 4574/8981

1. What is the HCF of 7990,4574?

The HCF of 7990,4574 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 7990/866, 4574/8981?

Answer: GCF of Numerators as per given numbers 7990/866, 4574/8981 is

GCF of Numerators i.e. for 7990,4574 is 2

LCM of denominators i.e. for 866,8981 is 7777546.

Thus, GCF of Fractions is 2/7777546.Finally, GCF of Fractions for 7990/866, 4574/8981 is 2/7777546.