How to Find GCF of 9658/100, 1001/8472?

GCF of 9658/100, 1001/8472

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 9658/100, 1001/8472 i.e 11/211800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9658/100, 1001/8472.

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 9658/100,1001/8472?

Given fractions are 9658/100,1001/8472

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 9658/100,1001/8472, numerators are 9658,1001

Denominators are 100,8472

The GCF of 9658,1001 is 11 .

LCM of 100,8472 is 211800.

The greatest common factor of 9658/100,1001/8472 = [GCF of 9658,1001]/[LCM of 100,8472]= 11/211800

Therefore, the GCF of 9658/100,1001/8472 is 11/211800.

Greatest Common Factor of 9658,1001

To find the highest common factor of 9658,1001, we have to find the factors of both numbers and list the highest common factor.

The factors of 9658 are 1, 2, 11, 22, 439, 878, 4829, 9658

The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001

The HCF of 9658,1001 is 11.

Lets's calculate GCF of 9658,1001

Greatest Common Factor (GCF) of 9658,1001 By Common Division

11	9658, 1001
	878, 91

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9658,1001 By Matching Biggest Common Factor Method

Now, list down the factors of 9658

1,2,11,22,439,878,4829,9658

Now, list down the factors of 1001

1,7,11,13,77,91,143,1001

Greatest Common Factor

We found the factors 9658,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 9658,1001 is 11.

Lets's calculate LCM of 100,8472

Lowest Common Multiple of 100,8472 using Common Division

2	100, 8472
2	50, 4236
	25, 2118

∴ So the LCM of the given numbers is 2 x 2 x 25 x 2118 = 211800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/211800

Therefore, the GCF of Fractions 9658/100,1001/8472 is 11/211800

Least Common Multiple of 100,8472 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 100,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,8472) = 4

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

GCF(100,8472) x common factors =4 x 1 = 4

LCM(100,8472) = ( 100 × 8472 ) / 4

LCM(100,8472) = 847200 / 4

LCM(100,8472) = 211800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9658/100, 1001/8472

1. What is the HCF of 9658,1001?

The HCF of 9658,1001 is 11

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 9658/100, 1001/8472?

Answer: GCF of Numerators as per given numbers 9658/100, 1001/8472 is

GCF of Numerators i.e. for 9658,1001 is 11

LCM of denominators i.e. for 100,8472 is 211800.

Thus, GCF of Fractions is 11/211800.Finally, GCF of Fractions for 9658/100, 1001/8472 is 11/211800.