LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 8053/821, 5417/986

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 8053/821, 5417/986 i.e 1/809506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8053/821, 5417/986.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 8053/821,5417/986?

Given fractions are 8053/821,5417/986

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 8053/821,5417/986, numerators are 8053,5417

Denominators are 821,986

The GCF of 8053,5417 is 1 .

LCM of 821,986 is 809506.

The greatest common factor of 8053/821,5417/986 = [GCF of 8053,5417]/[LCM of 821,986]= 1/809506

Therefore, the GCF of 8053/821,5417/986 is 1/809506.

Greatest Common Factor of 8053,5417

To find the highest common factor of 8053,5417, we have to find the factors of both numbers and list the highest common factor.

The factors of 8053 are 1, 8053

The factors of 5417 are 1, 5417

The HCF of 8053,5417 is 1.

Lets's calculate GCF of 8053,5417

Greatest Common Factor (GCF) of 8053,5417 By Common Division

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

Greatest Common Factor of 8053,5417 By Matching Biggest Common Factor Method

Greatest Common Factor of 8053,5417 By Matching Biggest Common Factor Method

Now, list down the factors of 8053

:

1,8053

Now, list down the factors of 5417

:

1,5417

Greatest Common Factor

We found the factors 8053,5417 . The biggest common factor number is the GCF number.
So the greatest common factor 8053,5417 is 1.

Lets's calculate LCM of 821,986

Lowest Common Multiple of 821,986 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 809506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/809506

Therefore, the GCF of Fractions 8053/821,5417/986 is 1/809506

Least Common Multiple of 821,986 with GCF Formula

Least Common Multiple of 821,986 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 821,986 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,986) = 1

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

GCF(821,986) x common factors =1 x 1 = 1

LCM(821,986) = ( 821 × 986 ) / 1

LCM(821,986) = 809506 / 1

LCM(821,986) = 809506


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8053/821, 5417/986

1. What is the HCF of 8053,5417?

The HCF of 8053,5417 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 8053/821, 5417/986?

Answer: GCF of Numerators as per given numbers 8053/821, 5417/986 is

GCF of Numerators i.e. for 8053,5417 is 1

LCM of denominators i.e. for 821,986 is 809506.

Thus, GCF of Fractions is 1/809506.Finally, GCF of Fractions for 8053/821, 5417/986 is 1/809506.