How to Find GCF of 9626/663, 7320/686?

GCF of 9626/663, 7320/686

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 9626/663, 7320/686 i.e 2/454818 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9626/663, 7320/686.

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 9626/663,7320/686?

Given fractions are 9626/663,7320/686

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 9626/663,7320/686, numerators are 9626,7320

Denominators are 663,686

The GCF of 9626,7320 is 2 .

LCM of 663,686 is 454818.

The greatest common factor of 9626/663,7320/686 = [GCF of 9626,7320]/[LCM of 663,686]= 2/454818

Therefore, the GCF of 9626/663,7320/686 is 2/454818.

Greatest Common Factor of 9626,7320

To find the highest common factor of 9626,7320, we have to find the factors of both numbers and list the highest common factor.

The factors of 9626 are 1, 2, 4813, 9626

The factors of 7320 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 61, 120, 122, 183, 244, 305, 366, 488, 610, 732, 915, 1220, 1464, 1830, 2440, 3660, 7320

The HCF of 9626,7320 is 2.

Lets's calculate GCF of 9626,7320

Greatest Common Factor (GCF) of 9626,7320 By Common Division

2	9626, 7320
	4813, 3660

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

Greatest Common Factor of 9626,7320 By Matching Biggest Common Factor Method

Now, list down the factors of 9626

1,2,4813,9626

Now, list down the factors of 7320

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,61,120,122,183,244,305,366,488,610,732,915,1220,1464,1830,2440,3660,7320

Greatest Common Factor

We found the factors 9626,7320 . The biggest common factor number is the GCF number.
So the greatest common factor 9626,7320 is 2.

Lets's calculate LCM of 663,686

Lowest Common Multiple of 663,686 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 454818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/454818

Therefore, the GCF of Fractions 9626/663,7320/686 is 2/454818

Least Common Multiple of 663,686 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 663,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,686) = 1

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

GCF(663,686) x common factors =1 x 1 = 1

LCM(663,686) = ( 663 × 686 ) / 1

LCM(663,686) = 454818 / 1

LCM(663,686) = 454818

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FAQs on GCF of Fractions of 9626/663, 7320/686

1. What is the HCF of 9626,7320?

The HCF of 9626,7320 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 9626/663, 7320/686?

Answer: GCF of Numerators as per given numbers 9626/663, 7320/686 is

GCF of Numerators i.e. for 9626,7320 is 2

LCM of denominators i.e. for 663,686 is 454818.

Thus, GCF of Fractions is 2/454818.Finally, GCF of Fractions for 9626/663, 7320/686 is 2/454818.