How to Find GCF of 899/49, 500/29, 641/78?

GCF of 899/49, 500/29, 641/78

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 899/49, 500/29, 641/78 i.e 1/110838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 899/49, 500/29, 641/78.

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 899/49,500/29,641/78?

Given fractions are 899/49,500/29,641/78

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 899/49,500/29,641/78, numerators are 899,500,641

Denominators are 49,29,78

The GCF of 899,500,641 is 1 .

LCM of 49,29,78 is 110838.

The greatest common factor of 899/49,500/29,641/78 = [GCF of 899,500,641]/[LCM of 49,29,78]= 1/110838

Therefore, the GCF of 899/49,500/29,641/78 is 1/110838.

Greatest Common Factor of 899,500,641

To find the highest common factor of 899,500,641, we have to find the factors of both numbers and list the highest common factor.

The factors of 899 are 1, 29, 31, 899

The factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

The factors of 641 are 1, 641

The HCF of 899,500,641 is 1.

Lets's calculate GCF of 899,500,641

Greatest Common Factor (GCF) of 899,500,641 By Common Division

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

Greatest Common Factor of 899,500,641 By Matching Biggest Common Factor Method

Now, list down the factors of 899

1,29,31,899

Now, list down the factors of 500

1,2,4,5,10,20,25,50,100,125,250,500

Now, list down the factors of 641

1,641

Greatest Common Factor

We found the factors 899,500,641 . The biggest common factor number is the GCF number.
So the greatest common factor 899,500,641 is 1.

Lets's calculate LCM of 49,29,78

Lowest Common Multiple of 49,29,78 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110838

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110838

Therefore, the GCF of Fractions 899/49,500/29,641/78 is 1/110838

Least Common Multiple of 49,29,78 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 49,29,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,29,78) = 1

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

GCF(49,29,78) x common factors =1 x 1 = 1

LCM(49,29,78) = ( 49 × 29 × 78 ) / 1

LCM(49,29,78) = 110838 / 1

LCM(49,29,78) = 110838

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 899/49, 500/29, 641/78

1. What is the HCF of 899,500,641?

The HCF of 899,500,641 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 899/49, 500/29, 641/78?

Answer: GCF of Numerators as per given numbers 899/49, 500/29, 641/78 is

GCF of Numerators i.e. for 899,500,641 is 1

LCM of denominators i.e. for 49,29,78 is 110838.

Thus, GCF of Fractions is 1/110838.Finally, GCF of Fractions for 899/49, 500/29, 641/78 is 1/110838.