How to Find GCF of 8627/820, 8001/8498?

GCF of 8627/820, 8001/8498

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 8627/820, 8001/8498 i.e 1/3484180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8627/820, 8001/8498.

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 8627/820,8001/8498?

Given fractions are 8627/820,8001/8498

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 8627/820,8001/8498, numerators are 8627,8001

Denominators are 820,8498

The GCF of 8627,8001 is 1 .

LCM of 820,8498 is 3484180.

The greatest common factor of 8627/820,8001/8498 = [GCF of 8627,8001]/[LCM of 820,8498]= 1/3484180

Therefore, the GCF of 8627/820,8001/8498 is 1/3484180.

Greatest Common Factor of 8627,8001

To find the highest common factor of 8627,8001, we have to find the factors of both numbers and list the highest common factor.

The factors of 8627 are 1, 8627

The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001

The HCF of 8627,8001 is 1.

Lets's calculate GCF of 8627,8001

Greatest Common Factor (GCF) of 8627,8001 By Common Division

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

Greatest Common Factor of 8627,8001 By Matching Biggest Common Factor Method

Now, list down the factors of 8627

1,8627

Now, list down the factors of 8001

1,3,7,9,21,63,127,381,889,1143,2667,8001

Greatest Common Factor

We found the factors 8627,8001 . The biggest common factor number is the GCF number.
So the greatest common factor 8627,8001 is 1.

Lets's calculate LCM of 820,8498

Lowest Common Multiple of 820,8498 using Common Division

2	820, 8498
	410, 4249

∴ So the LCM of the given numbers is 2 x 410 x 4249 = 3484180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3484180

Therefore, the GCF of Fractions 8627/820,8001/8498 is 1/3484180

Least Common Multiple of 820,8498 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 820,8498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,8498) = 2

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

GCF(820,8498) x common factors =2 x 1 = 2

LCM(820,8498) = ( 820 × 8498 ) / 2

LCM(820,8498) = 6968360 / 2

LCM(820,8498) = 3484180

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FAQs on GCF of Fractions of 8627/820, 8001/8498

1. What is the HCF of 8627,8001?

The HCF of 8627,8001 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 8627/820, 8001/8498?

Answer: GCF of Numerators as per given numbers 8627/820, 8001/8498 is

GCF of Numerators i.e. for 8627,8001 is 1

LCM of denominators i.e. for 820,8498 is 3484180.

Thus, GCF of Fractions is 1/3484180.Finally, GCF of Fractions for 8627/820, 8001/8498 is 1/3484180.