How to Find GCF of 6970/298, 8814/627?

GCF of 6970/298, 8814/627

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 6970/298, 8814/627 i.e 2/186846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6970/298, 8814/627.

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 6970/298,8814/627?

Given fractions are 6970/298,8814/627

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 6970/298,8814/627, numerators are 6970,8814

Denominators are 298,627

The GCF of 6970,8814 is 2 .

LCM of 298,627 is 186846.

The greatest common factor of 6970/298,8814/627 = [GCF of 6970,8814]/[LCM of 298,627]= 2/186846

Therefore, the GCF of 6970/298,8814/627 is 2/186846.

Greatest Common Factor of 6970,8814

To find the highest common factor of 6970,8814, we have to find the factors of both numbers and list the highest common factor.

The factors of 6970 are 1, 2, 5, 10, 17, 34, 41, 82, 85, 170, 205, 410, 697, 1394, 3485, 6970

The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814

The HCF of 6970,8814 is 2.

Lets's calculate GCF of 6970,8814

Greatest Common Factor (GCF) of 6970,8814 By Common Division

2	6970, 8814
	3485, 4407

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

Greatest Common Factor of 6970,8814 By Matching Biggest Common Factor Method

Now, list down the factors of 6970

1,2,5,10,17,34,41,82,85,170,205,410,697,1394,3485,6970

Now, list down the factors of 8814

1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814

Greatest Common Factor

We found the factors 6970,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 6970,8814 is 2.

Lets's calculate LCM of 298,627

Lowest Common Multiple of 298,627 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 186846

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/186846

Therefore, the GCF of Fractions 6970/298,8814/627 is 2/186846

Least Common Multiple of 298,627 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 298,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,627) = 1

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

GCF(298,627) x common factors =1 x 1 = 1

LCM(298,627) = ( 298 × 627 ) / 1

LCM(298,627) = 186846 / 1

LCM(298,627) = 186846

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FAQs on GCF of Fractions of 6970/298, 8814/627

1. What is the HCF of 6970,8814?

The HCF of 6970,8814 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 6970/298, 8814/627?

Answer: GCF of Numerators as per given numbers 6970/298, 8814/627 is

GCF of Numerators i.e. for 6970,8814 is 2

LCM of denominators i.e. for 298,627 is 186846.

Thus, GCF of Fractions is 2/186846.Finally, GCF of Fractions for 6970/298, 8814/627 is 2/186846.