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GCF of 693/799, 801/503

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 693/799, 801/503 i.e 9/401897 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/799, 801/503.

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 693/799,801/503?

Given fractions are 693/799,801/503

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 693/799,801/503, numerators are 693,801

Denominators are 799,503

The GCF of 693,801 is 9 .

LCM of 799,503 is 401897.

The greatest common factor of 693/799,801/503 = [GCF of 693,801]/[LCM of 799,503]= 9/401897

Therefore, the GCF of 693/799,801/503 is 9/401897.

Greatest Common Factor of 693,801

To find the highest common factor of 693,801, we have to find the factors of both numbers and list the highest common factor.

The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

The factors of 801 are 1, 3, 9, 89, 267, 801

The HCF of 693,801 is 9.

Lets's calculate GCF of 693,801

Greatest Common Factor (GCF) of 693,801 By Common Division

3 693, 801
3 231, 267
77, 89

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 693,801 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,801 By Matching Biggest Common Factor Method

Now, list down the factors of 693

:

1,3,7,9,11,21,33,63,77,99,231,693

Now, list down the factors of 801

:

1,3,9,89,267,801

Greatest Common Factor

We found the factors 693,801 . The biggest common factor number is the GCF number.
So the greatest common factor 693,801 is 9.

Lets's calculate LCM of 799,503

Lowest Common Multiple of 799,503 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 401897

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/401897

Therefore, the GCF of Fractions 693/799,801/503 is 9/401897

Least Common Multiple of 799,503 with GCF Formula

Least Common Multiple of 799,503 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 799,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(799,503) = 1

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

GCF(799,503) x common factors =1 x 1 = 1

LCM(799,503) = ( 799 × 503 ) / 1

LCM(799,503) = 401897 / 1

LCM(799,503) = 401897


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FAQs on GCF of Fractions of 693/799, 801/503

1. What is the HCF of 693,801?

The HCF of 693,801 is 9

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 693/799, 801/503?

Answer: GCF of Numerators as per given numbers 693/799, 801/503 is

GCF of Numerators i.e. for 693,801 is 9

LCM of denominators i.e. for 799,503 is 401897.

Thus, GCF of Fractions is 9/401897.Finally, GCF of Fractions for 693/799, 801/503 is 9/401897.