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 973/681, 851/499

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 973/681, 851/499 i.e 1/339819 easily. The following is the detailed procedure to determine the greatest common factor of fractions 973/681, 851/499.

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 973/681,851/499?

Given fractions are 973/681,851/499

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 973/681,851/499, numerators are 973,851

Denominators are 681,499

The GCF of 973,851 is 1 .

LCM of 681,499 is 339819.

The greatest common factor of 973/681,851/499 = [GCF of 973,851]/[LCM of 681,499]= 1/339819

Therefore, the GCF of 973/681,851/499 is 1/339819.

Greatest Common Factor of 973,851

To find the highest common factor of 973,851, we have to find the factors of both numbers and list the highest common factor.

The factors of 973 are 1, 7, 139, 973

The factors of 851 are 1, 23, 37, 851

The HCF of 973,851 is 1.

Lets's calculate GCF of 973,851

Greatest Common Factor (GCF) of 973,851 By Common Division

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

Greatest Common Factor of 973,851 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,851 By Matching Biggest Common Factor Method

Now, list down the factors of 973

:

1,7,139,973

Now, list down the factors of 851

:

1,23,37,851

Greatest Common Factor

We found the factors 973,851 . The biggest common factor number is the GCF number.
So the greatest common factor 973,851 is 1.

Lets's calculate LCM of 681,499

Lowest Common Multiple of 681,499 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 339819

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/339819

Therefore, the GCF of Fractions 973/681,851/499 is 1/339819

Least Common Multiple of 681,499 with GCF Formula

Least Common Multiple of 681,499 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 681,499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(681,499) = 1

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

GCF(681,499) x common factors =1 x 1 = 1

LCM(681,499) = ( 681 × 499 ) / 1

LCM(681,499) = 339819 / 1

LCM(681,499) = 339819


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 973/681, 851/499

1. What is the HCF of 973,851?

The HCF of 973,851 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 973/681, 851/499?

Answer: GCF of Numerators as per given numbers 973/681, 851/499 is

GCF of Numerators i.e. for 973,851 is 1

LCM of denominators i.e. for 681,499 is 339819.

Thus, GCF of Fractions is 1/339819.Finally, GCF of Fractions for 973/681, 851/499 is 1/339819.