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GCF of 551/203, 8069/969

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 551/203, 8069/969 i.e 1/196707 easily. The following is the detailed procedure to determine the greatest common factor of fractions 551/203, 8069/969.

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 551/203,8069/969?

Given fractions are 551/203,8069/969

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 551/203,8069/969, numerators are 551,8069

Denominators are 203,969

The GCF of 551,8069 is 1 .

LCM of 203,969 is 196707.

The greatest common factor of 551/203,8069/969 = [GCF of 551,8069]/[LCM of 203,969]= 1/196707

Therefore, the GCF of 551/203,8069/969 is 1/196707.

Greatest Common Factor of 551,8069

To find the highest common factor of 551,8069, we have to find the factors of both numbers and list the highest common factor.

The factors of 551 are 1, 19, 29, 551

The factors of 8069 are 1, 8069

The HCF of 551,8069 is 1.

Lets's calculate GCF of 551,8069

Greatest Common Factor (GCF) of 551,8069 By Common Division

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

Greatest Common Factor of 551,8069 By Matching Biggest Common Factor Method

Greatest Common Factor of 551,8069 By Matching Biggest Common Factor Method

Now, list down the factors of 551

:

1,19,29,551

Now, list down the factors of 8069

:

1,8069

Greatest Common Factor

We found the factors 551,8069 . The biggest common factor number is the GCF number.
So the greatest common factor 551,8069 is 1.

Lets's calculate LCM of 203,969

Lowest Common Multiple of 203,969 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 196707

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196707

Therefore, the GCF of Fractions 551/203,8069/969 is 1/196707

Least Common Multiple of 203,969 with GCF Formula

Least Common Multiple of 203,969 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 203,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(203,969) = 1

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

GCF(203,969) x common factors =1 x 1 = 1

LCM(203,969) = ( 203 × 969 ) / 1

LCM(203,969) = 196707 / 1

LCM(203,969) = 196707


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FAQs on GCF of Fractions of 551/203, 8069/969

1. What is the HCF of 551,8069?

The HCF of 551,8069 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 551/203, 8069/969?

Answer: GCF of Numerators as per given numbers 551/203, 8069/969 is

GCF of Numerators i.e. for 551,8069 is 1

LCM of denominators i.e. for 203,969 is 196707.

Thus, GCF of Fractions is 1/196707.Finally, GCF of Fractions for 551/203, 8069/969 is 1/196707.