How to Find GCF of 9366/139, 7682/1214?

GCF of 9366/139, 7682/1214

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 9366/139, 7682/1214 i.e 2/168746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9366/139, 7682/1214.

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 9366/139,7682/1214?

Given fractions are 9366/139,7682/1214

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 9366/139,7682/1214, numerators are 9366,7682

Denominators are 139,1214

The GCF of 9366,7682 is 2 .

LCM of 139,1214 is 168746.

The greatest common factor of 9366/139,7682/1214 = [GCF of 9366,7682]/[LCM of 139,1214]= 2/168746

Therefore, the GCF of 9366/139,7682/1214 is 2/168746.

Greatest Common Factor of 9366,7682

To find the highest common factor of 9366,7682, we have to find the factors of both numbers and list the highest common factor.

The factors of 9366 are 1, 2, 3, 6, 7, 14, 21, 42, 223, 446, 669, 1338, 1561, 3122, 4683, 9366

The factors of 7682 are 1, 2, 23, 46, 167, 334, 3841, 7682

The HCF of 9366,7682 is 2.

Lets's calculate GCF of 9366,7682

Greatest Common Factor (GCF) of 9366,7682 By Common Division

2	9366, 7682
	4683, 3841

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

Greatest Common Factor of 9366,7682 By Matching Biggest Common Factor Method

Now, list down the factors of 9366

1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366

Now, list down the factors of 7682

1,2,23,46,167,334,3841,7682

Greatest Common Factor

We found the factors 9366,7682 . The biggest common factor number is the GCF number.
So the greatest common factor 9366,7682 is 2.

Lets's calculate LCM of 139,1214

Lowest Common Multiple of 139,1214 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 168746

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/168746

Therefore, the GCF of Fractions 9366/139,7682/1214 is 2/168746

Least Common Multiple of 139,1214 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 139,1214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(139,1214) = 1

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

GCF(139,1214) x common factors =1 x 1 = 1

LCM(139,1214) = ( 139 × 1214 ) / 1

LCM(139,1214) = 168746 / 1

LCM(139,1214) = 168746

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FAQs on GCF of Fractions of 9366/139, 7682/1214

1. What is the HCF of 9366,7682?

The HCF of 9366,7682 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 9366/139, 7682/1214?

Answer: GCF of Numerators as per given numbers 9366/139, 7682/1214 is

GCF of Numerators i.e. for 9366,7682 is 2

LCM of denominators i.e. for 139,1214 is 168746.

Thus, GCF of Fractions is 2/168746.Finally, GCF of Fractions for 9366/139, 7682/1214 is 2/168746.