How to Find GCF of 949/81, 600/109?

GCF of 949/81, 600/109

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 949/81, 600/109 i.e 1/8829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 949/81, 600/109.

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 949/81,600/109?

Given fractions are 949/81,600/109

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 949/81,600/109, numerators are 949,600

Denominators are 81,109

The GCF of 949,600 is 1 .

LCM of 81,109 is 8829.

The greatest common factor of 949/81,600/109 = [GCF of 949,600]/[LCM of 81,109]= 1/8829

Therefore, the GCF of 949/81,600/109 is 1/8829.

Greatest Common Factor of 949,600

To find the highest common factor of 949,600, we have to find the factors of both numbers and list the highest common factor.

The factors of 949 are 1, 13, 73, 949

The factors of 600 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

The HCF of 949,600 is 1.

Lets's calculate GCF of 949,600

Greatest Common Factor (GCF) of 949,600 By Common Division

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

Greatest Common Factor of 949,600 By Matching Biggest Common Factor Method

Now, list down the factors of 949

1,13,73,949

Now, list down the factors of 600

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Greatest Common Factor

We found the factors 949,600 . The biggest common factor number is the GCF number.
So the greatest common factor 949,600 is 1.

Lets's calculate LCM of 81,109

Lowest Common Multiple of 81,109 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8829

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8829

Therefore, the GCF of Fractions 949/81,600/109 is 1/8829

Least Common Multiple of 81,109 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 81,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,109) = 1

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

GCF(81,109) x common factors =1 x 1 = 1

LCM(81,109) = ( 81 × 109 ) / 1

LCM(81,109) = 8829 / 1

LCM(81,109) = 8829

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FAQs on GCF of Fractions of 949/81, 600/109

1. What is the HCF of 949,600?

The HCF of 949,600 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 949/81, 600/109?

Answer: GCF of Numerators as per given numbers 949/81, 600/109 is

GCF of Numerators i.e. for 949,600 is 1

LCM of denominators i.e. for 81,109 is 8829.

Thus, GCF of Fractions is 1/8829.Finally, GCF of Fractions for 949/81, 600/109 is 1/8829.