How to Find GCF of 8714/986, 8499/9803?

GCF of 8714/986, 8499/9803

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 8714/986, 8499/9803 i.e 1/9665758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8714/986, 8499/9803.

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 8714/986,8499/9803?

Given fractions are 8714/986,8499/9803

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 8714/986,8499/9803, numerators are 8714,8499

Denominators are 986,9803

The GCF of 8714,8499 is 1 .

LCM of 986,9803 is 9665758.

The greatest common factor of 8714/986,8499/9803 = [GCF of 8714,8499]/[LCM of 986,9803]= 1/9665758

Therefore, the GCF of 8714/986,8499/9803 is 1/9665758.

Greatest Common Factor of 8714,8499

To find the highest common factor of 8714,8499, we have to find the factors of both numbers and list the highest common factor.

The factors of 8714 are 1, 2, 4357, 8714

The factors of 8499 are 1, 3, 2833, 8499

The HCF of 8714,8499 is 1.

Lets's calculate GCF of 8714,8499

Greatest Common Factor (GCF) of 8714,8499 By Common Division

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

Greatest Common Factor of 8714,8499 By Matching Biggest Common Factor Method

Now, list down the factors of 8714

1,2,4357,8714

Now, list down the factors of 8499

1,3,2833,8499

Greatest Common Factor

We found the factors 8714,8499 . The biggest common factor number is the GCF number.
So the greatest common factor 8714,8499 is 1.

Lets's calculate LCM of 986,9803

Lowest Common Multiple of 986,9803 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9665758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9665758

Therefore, the GCF of Fractions 8714/986,8499/9803 is 1/9665758

Least Common Multiple of 986,9803 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 986,9803 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,9803) = 1

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

GCF(986,9803) x common factors =1 x 1 = 1

LCM(986,9803) = ( 986 × 9803 ) / 1

LCM(986,9803) = 9665758 / 1

LCM(986,9803) = 9665758

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FAQs on GCF of Fractions of 8714/986, 8499/9803

1. What is the HCF of 8714,8499?

The HCF of 8714,8499 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 8714/986, 8499/9803?

Answer: GCF of Numerators as per given numbers 8714/986, 8499/9803 is

GCF of Numerators i.e. for 8714,8499 is 1

LCM of denominators i.e. for 986,9803 is 9665758.

Thus, GCF of Fractions is 1/9665758.Finally, GCF of Fractions for 8714/986, 8499/9803 is 1/9665758.