How to Find GCF of 5648/100, 8497/6670?

GCF of 5648/100, 8497/6670

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 5648/100, 8497/6670 i.e 1/66700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5648/100, 8497/6670.

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 5648/100,8497/6670?

Given fractions are 5648/100,8497/6670

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 5648/100,8497/6670, numerators are 5648,8497

Denominators are 100,6670

The GCF of 5648,8497 is 1 .

LCM of 100,6670 is 66700.

The greatest common factor of 5648/100,8497/6670 = [GCF of 5648,8497]/[LCM of 100,6670]= 1/66700

Therefore, the GCF of 5648/100,8497/6670 is 1/66700.

Greatest Common Factor of 5648,8497

To find the highest common factor of 5648,8497, we have to find the factors of both numbers and list the highest common factor.

The factors of 5648 are 1, 2, 4, 8, 16, 353, 706, 1412, 2824, 5648

The factors of 8497 are 1, 29, 293, 8497

The HCF of 5648,8497 is 1.

Lets's calculate GCF of 5648,8497

Greatest Common Factor (GCF) of 5648,8497 By Common Division

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

Greatest Common Factor of 5648,8497 By Matching Biggest Common Factor Method

Now, list down the factors of 5648

1,2,4,8,16,353,706,1412,2824,5648

Now, list down the factors of 8497

1,29,293,8497

Greatest Common Factor

We found the factors 5648,8497 . The biggest common factor number is the GCF number.
So the greatest common factor 5648,8497 is 1.

Lets's calculate LCM of 100,6670

Lowest Common Multiple of 100,6670 using Common Division

2	100, 6670
5	50, 3335
	10, 667

∴ So the LCM of the given numbers is 2 x 5 x 10 x 667 = 66700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66700

Therefore, the GCF of Fractions 5648/100,8497/6670 is 1/66700

Least Common Multiple of 100,6670 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 100,6670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(100,6670) = 10

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

GCF(100,6670) x common factors =10 x 1 = 10

LCM(100,6670) = ( 100 × 6670 ) / 10

LCM(100,6670) = 667000 / 10

LCM(100,6670) = 66700

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FAQs on GCF of Fractions of 5648/100, 8497/6670

1. What is the HCF of 5648,8497?

The HCF of 5648,8497 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 5648/100, 8497/6670?

Answer: GCF of Numerators as per given numbers 5648/100, 8497/6670 is

GCF of Numerators i.e. for 5648,8497 is 1

LCM of denominators i.e. for 100,6670 is 66700.

Thus, GCF of Fractions is 1/66700.Finally, GCF of Fractions for 5648/100, 8497/6670 is 1/66700.