How to Find GCF of 7354/881, 7990/9786?

GCF of 7354/881, 7990/9786

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 7354/881, 7990/9786 i.e 2/8621466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7354/881, 7990/9786.

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 7354/881,7990/9786?

Given fractions are 7354/881,7990/9786

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 7354/881,7990/9786, numerators are 7354,7990

Denominators are 881,9786

The GCF of 7354,7990 is 2 .

LCM of 881,9786 is 8621466.

The greatest common factor of 7354/881,7990/9786 = [GCF of 7354,7990]/[LCM of 881,9786]= 2/8621466

Therefore, the GCF of 7354/881,7990/9786 is 2/8621466.

Greatest Common Factor of 7354,7990

To find the highest common factor of 7354,7990, we have to find the factors of both numbers and list the highest common factor.

The factors of 7354 are 1, 2, 3677, 7354

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

The HCF of 7354,7990 is 2.

Lets's calculate GCF of 7354,7990

Greatest Common Factor (GCF) of 7354,7990 By Common Division

2	7354, 7990
	3677, 3995

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

Greatest Common Factor of 7354,7990 By Matching Biggest Common Factor Method

Now, list down the factors of 7354

1,2,3677,7354

Now, list down the factors of 7990

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

Greatest Common Factor

We found the factors 7354,7990 . The biggest common factor number is the GCF number.
So the greatest common factor 7354,7990 is 2.

Lets's calculate LCM of 881,9786

Lowest Common Multiple of 881,9786 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8621466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8621466

Therefore, the GCF of Fractions 7354/881,7990/9786 is 2/8621466

Least Common Multiple of 881,9786 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 881,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,9786) = 1

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

GCF(881,9786) x common factors =1 x 1 = 1

LCM(881,9786) = ( 881 × 9786 ) / 1

LCM(881,9786) = 8621466 / 1

LCM(881,9786) = 8621466

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FAQs on GCF of Fractions of 7354/881, 7990/9786

1. What is the HCF of 7354,7990?

The HCF of 7354,7990 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 7354/881, 7990/9786?

Answer: GCF of Numerators as per given numbers 7354/881, 7990/9786 is

GCF of Numerators i.e. for 7354,7990 is 2

LCM of denominators i.e. for 881,9786 is 8621466.

Thus, GCF of Fractions is 2/8621466.Finally, GCF of Fractions for 7354/881, 7990/9786 is 2/8621466.