How to Find GCF of 9698/361, 8627/1383?

GCF of 9698/361, 8627/1383

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 9698/361, 8627/1383 i.e 1/499263 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9698/361, 8627/1383.

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 9698/361,8627/1383?

Given fractions are 9698/361,8627/1383

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 9698/361,8627/1383, numerators are 9698,8627

Denominators are 361,1383

The GCF of 9698,8627 is 1 .

LCM of 361,1383 is 499263.

The greatest common factor of 9698/361,8627/1383 = [GCF of 9698,8627]/[LCM of 361,1383]= 1/499263

Therefore, the GCF of 9698/361,8627/1383 is 1/499263.

Greatest Common Factor of 9698,8627

To find the highest common factor of 9698,8627, we have to find the factors of both numbers and list the highest common factor.

The factors of 9698 are 1, 2, 13, 26, 373, 746, 4849, 9698

The factors of 8627 are 1, 8627

The HCF of 9698,8627 is 1.

Lets's calculate GCF of 9698,8627

Greatest Common Factor (GCF) of 9698,8627 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9698,8627 By Matching Biggest Common Factor Method

Now, list down the factors of 9698

1,2,13,26,373,746,4849,9698

Now, list down the factors of 8627

1,8627

Greatest Common Factor

We found the factors 9698,8627 . The biggest common factor number is the GCF number.
So the greatest common factor 9698,8627 is 1.

Lets's calculate LCM of 361,1383

Lowest Common Multiple of 361,1383 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 499263

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/499263

Therefore, the GCF of Fractions 9698/361,8627/1383 is 1/499263

Least Common Multiple of 361,1383 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 361,1383 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,1383) = 1

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

GCF(361,1383) x common factors =1 x 1 = 1

LCM(361,1383) = ( 361 × 1383 ) / 1

LCM(361,1383) = 499263 / 1

LCM(361,1383) = 499263

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FAQs on GCF of Fractions of 9698/361, 8627/1383

1. What is the HCF of 9698,8627?

The HCF of 9698,8627 is 1

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 9698/361, 8627/1383?

Answer: GCF of Numerators as per given numbers 9698/361, 8627/1383 is

GCF of Numerators i.e. for 9698,8627 is 1

LCM of denominators i.e. for 361,1383 is 499263.

Thus, GCF of Fractions is 1/499263.Finally, GCF of Fractions for 9698/361, 8627/1383 is 1/499263.