How to Find GCF of 9808/368, 7014/9566?

GCF of 9808/368, 7014/9566

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 9808/368, 7014/9566 i.e 2/1760144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9808/368, 7014/9566.

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 9808/368,7014/9566?

Given fractions are 9808/368,7014/9566

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 9808/368,7014/9566, numerators are 9808,7014

Denominators are 368,9566

The GCF of 9808,7014 is 2 .

LCM of 368,9566 is 1760144.

The greatest common factor of 9808/368,7014/9566 = [GCF of 9808,7014]/[LCM of 368,9566]= 2/1760144

Therefore, the GCF of 9808/368,7014/9566 is 2/1760144.

Greatest Common Factor of 9808,7014

To find the highest common factor of 9808,7014, we have to find the factors of both numbers and list the highest common factor.

The factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808

The factors of 7014 are 1, 2, 3, 6, 7, 14, 21, 42, 167, 334, 501, 1002, 1169, 2338, 3507, 7014

The HCF of 9808,7014 is 2.

Lets's calculate GCF of 9808,7014

Greatest Common Factor (GCF) of 9808,7014 By Common Division

2	9808, 7014
	4904, 3507

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

Greatest Common Factor of 9808,7014 By Matching Biggest Common Factor Method

Now, list down the factors of 9808

1,2,4,8,16,613,1226,2452,4904,9808

Now, list down the factors of 7014

1,2,3,6,7,14,21,42,167,334,501,1002,1169,2338,3507,7014

Greatest Common Factor

We found the factors 9808,7014 . The biggest common factor number is the GCF number.
So the greatest common factor 9808,7014 is 2.

Lets's calculate LCM of 368,9566

Lowest Common Multiple of 368,9566 using Common Division

2	368, 9566
	184, 4783

∴ So the LCM of the given numbers is 2 x 184 x 4783 = 1760144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1760144

Therefore, the GCF of Fractions 9808/368,7014/9566 is 2/1760144

Least Common Multiple of 368,9566 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 368,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,9566) = 2

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

GCF(368,9566) x common factors =2 x 1 = 2

LCM(368,9566) = ( 368 × 9566 ) / 2

LCM(368,9566) = 3520288 / 2

LCM(368,9566) = 1760144

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FAQs on GCF of Fractions of 9808/368, 7014/9566

1. What is the HCF of 9808,7014?

The HCF of 9808,7014 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 9808/368, 7014/9566?

Answer: GCF of Numerators as per given numbers 9808/368, 7014/9566 is

GCF of Numerators i.e. for 9808,7014 is 2

LCM of denominators i.e. for 368,9566 is 1760144.

Thus, GCF of Fractions is 2/1760144.Finally, GCF of Fractions for 9808/368, 7014/9566 is 2/1760144.