How to Find GCF of 693/881, 550/996?

GCF of 693/881, 550/996

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 693/881, 550/996 i.e 11/877476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/881, 550/996.

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 693/881,550/996?

Given fractions are 693/881,550/996

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 693/881,550/996, numerators are 693,550

Denominators are 881,996

The GCF of 693,550 is 11 .

LCM of 881,996 is 877476.

The greatest common factor of 693/881,550/996 = [GCF of 693,550]/[LCM of 881,996]= 11/877476

Therefore, the GCF of 693/881,550/996 is 11/877476.

Greatest Common Factor of 693,550

To find the highest common factor of 693,550, 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 550 are 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

The HCF of 693,550 is 11.

Lets's calculate GCF of 693,550

Greatest Common Factor (GCF) of 693,550 By Common Division

11	693, 550
	63, 50

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 693,550 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 550

1,2,5,10,11,22,25,50,55,110,275,550

Greatest Common Factor

We found the factors 693,550 . The biggest common factor number is the GCF number.
So the greatest common factor 693,550 is 11.

Lets's calculate LCM of 881,996

Lowest Common Multiple of 881,996 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 877476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/877476

Therefore, the GCF of Fractions 693/881,550/996 is 11/877476

Least Common Multiple of 881,996 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 881,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(881,996) = 1

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

GCF(881,996) x common factors =1 x 1 = 1

LCM(881,996) = ( 881 × 996 ) / 1

LCM(881,996) = 877476 / 1

LCM(881,996) = 877476

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FAQs on GCF of Fractions of 693/881, 550/996

1. What is the HCF of 693,550?

The HCF of 693,550 is 11

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 693/881, 550/996?

Answer: GCF of Numerators as per given numbers 693/881, 550/996 is

GCF of Numerators i.e. for 693,550 is 11

LCM of denominators i.e. for 881,996 is 877476.

Thus, GCF of Fractions is 11/877476.Finally, GCF of Fractions for 693/881, 550/996 is 11/877476.