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 1387/850, 8543/6665

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 1387/850, 8543/6665 i.e 1/1133050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1387/850, 8543/6665.

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 1387/850,8543/6665?

Given fractions are 1387/850,8543/6665

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 1387/850,8543/6665, numerators are 1387,8543

Denominators are 850,6665

The GCF of 1387,8543 is 1 .

LCM of 850,6665 is 1133050.

The greatest common factor of 1387/850,8543/6665 = [GCF of 1387,8543]/[LCM of 850,6665]= 1/1133050

Therefore, the GCF of 1387/850,8543/6665 is 1/1133050.

Greatest Common Factor of 1387,8543

To find the highest common factor of 1387,8543, we have to find the factors of both numbers and list the highest common factor.

The factors of 1387 are 1, 19, 73, 1387

The factors of 8543 are 1, 8543

The HCF of 1387,8543 is 1.

Lets's calculate GCF of 1387,8543

Greatest Common Factor (GCF) of 1387,8543 By Common Division

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

Greatest Common Factor of 1387,8543 By Matching Biggest Common Factor Method

Greatest Common Factor of 1387,8543 By Matching Biggest Common Factor Method

Now, list down the factors of 1387

:

1,19,73,1387

Now, list down the factors of 8543

:

1,8543

Greatest Common Factor

We found the factors 1387,8543 . The biggest common factor number is the GCF number.
So the greatest common factor 1387,8543 is 1.

Lets's calculate LCM of 850,6665

Lowest Common Multiple of 850,6665 using Common Division

5 850, 6665
170, 1333

∴ So the LCM of the given numbers is 5 x 170 x 1333 = 1133050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1133050

Therefore, the GCF of Fractions 1387/850,8543/6665 is 1/1133050

Least Common Multiple of 850,6665 with GCF Formula

Least Common Multiple of 850,6665 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 850,6665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,6665) = 5

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

GCF(850,6665) x common factors =5 x 1 = 5

LCM(850,6665) = ( 850 × 6665 ) / 5

LCM(850,6665) = 5665250 / 5

LCM(850,6665) = 1133050


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1387/850, 8543/6665

1. What is the HCF of 1387,8543?

The HCF of 1387,8543 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 1387/850, 8543/6665?

Answer: GCF of Numerators as per given numbers 1387/850, 8543/6665 is

GCF of Numerators i.e. for 1387,8543 is 1

LCM of denominators i.e. for 850,6665 is 1133050.

Thus, GCF of Fractions is 1/1133050.Finally, GCF of Fractions for 1387/850, 8543/6665 is 1/1133050.